2.2 part 2 quadratic functions (applications) 3rd.notebook · 2.2 part 2 quadratic functions...

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2.2 part 2 Quadratic Functions (Applications) 3rd.notebook December 14, 2016 Math Analysis 2.2 (part 2) Quadratic Functions Among all pairs of numbers whose difference is 10, find a pair whose product is as small as possible. What is the minimum product? Minimizing a Product An object is propelled vertically upward with an initial velocity of 20 meters per second. The distance s (in meters) of the object from the ground after t seconds is s = -4.9t 2 + 20t. a) When will the object be 15 m above the ground? b) When will it strike the ground? c) Will the object reach a height of 100 m?

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Page 1: 2.2 part 2 Quadratic Functions (Applications) 3rd.notebook · 2.2 part 2 Quadratic Functions (Applications) 3rd.notebook December 14, 2016 The John Deere company has found that the

2.2 part 2 Quadratic Functions (Applications) 3rd.notebook December 14, 2016

Math Analysis2.2 (part 2) Quadratic Functions

Among all pairs of numbers whose difference is 10, find a pair whose product is as small as possible. What is the minimum product?

Minimizing a Product

An object is propelled vertically upward with an initial velocity of 20 meters per second. The distance s (in meters) of the object from the ground after t seconds is s = -4.9t2 + 20t.

a) When will the object be 15 m above the ground?b) When will it strike the ground?c) Will the object reach a height of 100 m?

Page 2: 2.2 part 2 Quadratic Functions (Applications) 3rd.notebook · 2.2 part 2 Quadratic Functions (Applications) 3rd.notebook December 14, 2016 The John Deere company has found that the

2.2 part 2 Quadratic Functions (Applications) 3rd.notebook December 14, 2016

The John Deere company has found that the revenue, in dollars, from sales of riding mowers is a function of the unit price p, in dollars, that it charges. If the revenue R is

what unit price p should be charged to maximize revenue? What is the maximum revenue?

Try this: Homeworkpg 314; 58 - 68e