BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 3.1, Problem 35E
To determine

To Find: The maximum or minimum value of the function f(t)=10049t7t2

Expert Solution

Answer to Problem 35E

The value of minima is f(72)=(14294)

Explanation of Solution

Given: The function is f(t)=10049t7t2

Calculation:

This is a quadratic function with a=7, and b=49 . Thus, the maximum or minimum value occurs at

  x=b2a=492(7)=4914=72

Since, a>0 , the function has the minimum value

  f(72)=10049(72)7(72)2=14294

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