3. The function v(t) = 6t2 – 11t +3 describe the velocity of a particle moving along a line. a) Is the speed increasing or decreasing at x=1? b) Is the speed increasing or decreasing at x=0.5?
3. The function v(t) = 6t2 – 11t +3 describe the velocity of a particle moving along a line. a) Is the speed increasing or decreasing at x=1? b) Is the speed increasing or decreasing at x=0.5?
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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Transcribed Image Text:3. The function v(t) = 6t² – 11t + 3 describe the velocity of a particle moving along a line.
a) Is the speed increasing or decreasing at x=1?
b) Is the speed increasing or decreasing at x-0.5?
c) What theorem states that on the interval between t=0 and t=3, there must be at least one point where the
acceleration at that point is the same as the average acceleration.
Find that place.
4. The function a(t) = 3t² – 20t + 27 describe the acceleration of a particle moving along a line. If v(t)=0 at x=1,
3, and 6, explain when the particle changes direction from left to right.

Transcribed Image Text:3. The function v(t) = 6t² – 11t + 3 describe the velocity of a particle moving along a line.
a) Is the speed increasing or decreasing at x=1?
b) Is the speed increasing or decreasing at x-0.5?
c) What theorem states that on the interval between t=0 and t=3, there must be at least one point where the
acceleration at that point is the same as the average acceleration.
Find that place.
4. The function a(t) = 3t² – 20t + 27 describe the acceleration of a particle moving along a line. If v(t)=0 at x=1,
3, and 6, explain when the particle changes direction from left to right.
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