Object Height. Suppose an object is thrown straight up from the ground. The height after t seconds is given by the formula h(t) = -5t3 + 89t² + 182 (a) The time in seconds, rounded to 4 decimal places, when the object reached the highest point was O 182 s O 8.9 s None of the other answers O os O 26.7 s O 11.8667 s (b) The height is maximized at the critical point x = a because the second derivative test found O f"(a) > 0 O f'(a) was negative to the left of x = a and positive to the right O f'(a) = 0 O f"(a) < 0 O f'(a) was positive to the left of x = a and negative to the right O f"(a) = 0

Object Height. Suppose an object is thrown straight up from the ground. The height after t seconds is given by the formula h(t) = -5t3 + 89t² + 182 (a) The time in seconds, rounded to 4 decimal places, when the object reached the highest point was O 182 s O 8.9 s None of the other answers O os O 26.7 s O 11.8667 s (b) The height is maximized at the critical point x = a because the second derivative test found O f"(a) > 0 O f'(a) was negative to the left of x = a and positive to the right O f'(a) = 0 O f"(a) < 0 O f'(a) was positive to the left of x = a and negative to the right O f"(a) = 0

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...

See similar textbooks