ONLY parts A, B, and C please. Show all work

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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ONLY parts A, B, and C please. Show all work

1. The graph shown below represent the position function s(t) of an object moving up and down on a
coordinate line.
3
t (time in hours)
Approximate the times when the velocity is equal to zero.
a.
b. Sketch a graph for S' (t) the velocity function.
What are the critical values of s(t) ?
с.
d. Approximate the intervals of time, when the object is moving away from the origin.
Approximate the intervals of time, when the object is moving toward the origin.
е.
f. Approximate s'(2)
g. Using the graph of the velocity function sketch a graph for S"(t) the acceleration function.
h. What are the critical values of s'(t) ?
i.
Approximate the times when the acceleration is equal to zero.
j. Approximate the intervals of time when the acceleration is positive.
k. Approximate the intervals of time ,when the acceleration is negative.
What intervals does s(t) concaves up and concave down?
1.
m. What values of t do inflection points occur for s(t)
Sketch the graph of s"(t)
n.
s(t) (displacement in miles)
Transcribed Image Text:1. The graph shown below represent the position function s(t) of an object moving up and down on a coordinate line. 3 t (time in hours) Approximate the times when the velocity is equal to zero. a. b. Sketch a graph for S' (t) the velocity function. What are the critical values of s(t) ? с. d. Approximate the intervals of time, when the object is moving away from the origin. Approximate the intervals of time, when the object is moving toward the origin. е. f. Approximate s'(2) g. Using the graph of the velocity function sketch a graph for S"(t) the acceleration function. h. What are the critical values of s'(t) ? i. Approximate the times when the acceleration is equal to zero. j. Approximate the intervals of time when the acceleration is positive. k. Approximate the intervals of time ,when the acceleration is negative. What intervals does s(t) concaves up and concave down? 1. m. What values of t do inflection points occur for s(t) Sketch the graph of s"(t) n. s(t) (displacement in miles)
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