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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission. 1 Problems and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e

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Page 1: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

1

Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 2: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

2

Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 3: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

3

Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 4: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 5: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 6: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 7: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 8: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

8

Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 9: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 10: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 11: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 12: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Page 13: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Page 14: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 15: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 16: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Page 17: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 18: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 21: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 22: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 23: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 24: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 25: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Page 29: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Page 31: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Page 32: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Page 36: Problems and Solutions to Smith/Hashemi … and Solutions to Smith/Hashemi Foundations of Materials Science and Engineering 5/e PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies,

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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