3. (seconds) t 0.369 12 p(t) (feet) 3 5.5 7 13 17 whore ton of a particle, A, moving along the c-axis is modeled by a twice-differentiable function P, where time t is measured in seconds and p (t) is measured in feet. Selected values of p () are showln m the table above. (a) Use a midpoint Riemann sum with two subintervals of equal length and values from the table to 12 approximate the value of / p(t)dt Show the computations that lead to your answer. (b) Use the data in the table to approximate p' (10) using the average rate of change of p (t) over the interval 9 < t< 12. Show the computations that lead to your answer. Indicate units of measure. (c) Interpret the meaning of p' (10) in the context of the problem. (d) Must there exist a value of C, for 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
icon
Related questions
icon
Concept explainers
Topic Video
Question

Need assistance with D, E and F. These are high school level questions that I am practicing on to take a CLEP test.  Please give to the university level tutor that helped me with some of the other problems in this question.  This image is clear and you have all the information. 

3.
(seconds)
t
0.369 12
p(t)
(feet)
3 5.5 7 13 17
whore ton of a particle, A, moving along the c-axis is modeled by a twice-differentiable function P,
where time t is measured in seconds and p (t) is measured in feet. Selected values of p () are showln m
the table above.
(a) Use a midpoint Riemann sum with two subintervals of equal length and values from the table to
12
approximate the value of / p(t)dt Show the computations
that lead to your answer.
(b) Use the data in the table to approximate p' (10) using the average rate of change of p (t) over the
interval 9 < t< 12. Show the computations that lead to your answer. Indicate units of measure.
(c) Interpret the meaning of p' (10) in the context of the problem.
(d) Must there exist a value of C, for 0 <c < 12, such that p' (c) is equal to the average rate of change
of P over the interval 0 <x < 12 ? Justify your answer.
(e) Find
D' (2t + 3) dt. Show the computations that lead to your answer.
respond c
3x
(f) Let h (x) =
p(3t)At Find h' (1). Show the computations that lead to your answer.
Transcribed Image Text:3. (seconds) t 0.369 12 p(t) (feet) 3 5.5 7 13 17 whore ton of a particle, A, moving along the c-axis is modeled by a twice-differentiable function P, where time t is measured in seconds and p (t) is measured in feet. Selected values of p () are showln m the table above. (a) Use a midpoint Riemann sum with two subintervals of equal length and values from the table to 12 approximate the value of / p(t)dt Show the computations that lead to your answer. (b) Use the data in the table to approximate p' (10) using the average rate of change of p (t) over the interval 9 < t< 12. Show the computations that lead to your answer. Indicate units of measure. (c) Interpret the meaning of p' (10) in the context of the problem. (d) Must there exist a value of C, for 0 <c < 12, such that p' (c) is equal to the average rate of change of P over the interval 0 <x < 12 ? Justify your answer. (e) Find D' (2t + 3) dt. Show the computations that lead to your answer. respond c 3x (f) Let h (x) = p(3t)At Find h' (1). Show the computations that lead to your answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage