Suppose that an object in motion has position function s(t) = t² cos(5t) where t is the number of seconds the object has been on motion. If v(t) is the instantaneous velocity after t seconds, then choose the response below that equals v(t). O-10t sin (5) O2t cos (5t) - t² sin(5) O 2t sin(5t) + 5t² cos(5t) O2t cos(5t) + 5t² sin(5t) O None of the answers listed are correct. O 2t cos (5t) - t² sin(5t) O 2t cos (5t) - 5t² sin(t) O 2t cos(5t) - 5t² sin(5t) O-2t sin(5t) O2t cos(5t) - 10t sin(t) O-10t sin(5t) O 2t sin(5t)

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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Suppose that an object in motion has position function
s(t) = t² cos(5t)
where t is the number of seconds the object has been on motion. If v(t) is the instantaneous
velocity after t seconds, then choose the response below that equals v(t).
O-10t sin (5)
O2t cos(5t) - t² sin(5)
O 2t sin(5t) + 5t² cos(5t)
O 2t cos(5t) + 5t² sin(5t)
O None of the answers listed are correct.
O 2t cos (5t) - t² sin(5t)
O 2t cos (5t) - 5t² sin(t)
O 2t cos (5t) - 5t² sin(5t)
-2t sin(5t)
O2t cos (5t) - 10t sin(t)
O-10t sin(5t)
O2t sin(5t)
+
Transcribed Image Text:Suppose that an object in motion has position function s(t) = t² cos(5t) where t is the number of seconds the object has been on motion. If v(t) is the instantaneous velocity after t seconds, then choose the response below that equals v(t). O-10t sin (5) O2t cos(5t) - t² sin(5) O 2t sin(5t) + 5t² cos(5t) O 2t cos(5t) + 5t² sin(5t) O None of the answers listed are correct. O 2t cos (5t) - t² sin(5t) O 2t cos (5t) - 5t² sin(t) O 2t cos (5t) - 5t² sin(5t) -2t sin(5t) O2t cos (5t) - 10t sin(t) O-10t sin(5t) O2t sin(5t) +
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