The height of a certain amusement park ride follows the function h(t) = −³+ 11t² — 32t + 28, where his measured in meters and t is measured in minutes. The ride lasts 7 minutes, so 0 ≤ t ≤ 7. Using Calculus, find the maximum height of the ride as well as what time it reaches that height. Give your answers in exact form, and make sure to check all possible times that the maximum could occur.

The height of a certain amusement park ride follows the function h(t) = −³+ 11t² — 32t + 28, where his measured in meters and t is measured in minutes. The ride lasts 7 minutes, so 0 ≤ t ≤ 7. Using Calculus, find the maximum height of the ride as well as what time it reaches that height. Give your answers in exact form, and make sure to check all possible times that the maximum could occur.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...

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