The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial velocity of 64 feet per second is f (t) = -16t² + 64t (a) Verify that f(1) = f(3). f(1) = ft ft f(3) = (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)? ft/sec Find that time. t = S
The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial velocity of 64 feet per second is f (t) = -16t² + 64t (a) Verify that f(1) = f(3). f(1) = ft ft f(3) = (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)? ft/sec Find that time. t = S
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial velocity of 64 feet per second is f (t)
(a) Verify that f(1) = f(3).
f(1) =
ft
f(3) =
ft
(b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)?
ft/sec
Find that time.
t =
S
-16t² + 64t + 4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9b6a03f-2298-4441-ab19-fb50f28ec42f%2Feb337456-71f4-45ab-b04f-e4c8f14a636d%2Fwp3n537_processed.png&w=3840&q=75)
Transcribed Image Text:The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial velocity of 64 feet per second is f (t)
(a) Verify that f(1) = f(3).
f(1) =
ft
f(3) =
ft
(b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)?
ft/sec
Find that time.
t =
S
-16t² + 64t + 4.
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