50 Challenging Calculus Problems (Fully Solved) by McMullen Chris

Author:McMullen, Chris [McMullen, Chris]
Language: eng
Format: epub, azw3
Publisher: Zishka Publishing
Published: 2018-09-02T16:00:00+00:00

Substitute tm = tb – h (which comes from tb = tm + h) into the previous equation.

We want to find the maximum value of h. How do you find the extreme values of a function with calculus? Take a derivative of h with respect to tb and set the derivative equal to zero:

The monkey can afford to wait up to h = 9 seconds and still be able to catch the boy. (In calculus, problems like this are called “optimization problems.”)

Problem 29

Directions : Perform the following integral.

• You can find the solution on the following page.

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