fkb20203 homework assignment 1 sept14

UNIVERSITI KUALA LUMPUR MALAYSIA FRANCE INSTITUTE

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Document No: UniKL MFI_SD_AC35 Revision No : 01 Effective Date: 01 September 2008

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FKB20203

Engineering Technology Mathematics 2

1#

Functions and Graphs, Limits and Continuity

September 2014

ASSIGNMENT 1# of FKB20203 is an individual assignment. It consists of 3 questions. You are required to answer all questions and show all the necessary steps. Marks will be given not only based on your answers but also how you present your work. Your submission date: Wednesday, 8 October 2014, Mathematics Room M009, 8am – 5pm. Marks will be deducted for late submission.

QUESTION 1

Engineering Technology Mathematics 2

Determine the domain of the following functions

(a) 5

3x2)x(f

2

(b) 5x

3x2)x(g

2

(c) 1x3x3x

3x2)x(h

23

2

QUESTION 2

Engineering Technology Mathematics 2

Let

0x,1x

1x0,xln

0x,x2cos

)x(H

Sketch the graph of H. Determine the following limits. (a) )x(Hlim

0x (b) )x(Hlim

0x

(c) )x(Hlim1x

(d) )x(Hlim1x

(e) )x(Hlimx

(f) )x(Hlimx

QUESTION 3

Engineering Technology Mathematics 2

Determine the horizontal and vertical asymptote/s of the following function.

8x2

1x)x(f

2

2