0 4 1 3.5 2 2 3 0.8 4 1.7 5 5.8 6 7 4. The function f satisfies f(0) = 20. The first derivative of f satisfies the inequality 0 ≤ f'(x) ≤ 7 for all x the closed interval [0, 6]. Selected values of f' are shown in the table above. The function f has a continue second derivative for all real numbers. (b) Determine whether the actual value of f(6) could be 70. Explain your reasoning. (a) Use a midpoint Riemann sum with three subintervals of equal length indicated by the data in the table approximate the value of f(6).
0 4 1 3.5 2 2 3 0.8 4 1.7 5 5.8 6 7 4. The function f satisfies f(0) = 20. The first derivative of f satisfies the inequality 0 ≤ f'(x) ≤ 7 for all x the closed interval [0, 6]. Selected values of f' are shown in the table above. The function f has a continue second derivative for all real numbers. (b) Determine whether the actual value of f(6) could be 70. Explain your reasoning. (a) Use a midpoint Riemann sum with three subintervals of equal length indicated by the data in the table approximate the value of f(6).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 48CR
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Question
Transcribed Image Text:o not write beyond this border.
(c)
Evaluate [ƒ"(x) dx.
(d) Find lim
-
ƒ(x) — 20e*
0.5f(x) - 10
![X
f'(x)
0
4
1
3.5
2
2
3
0.8
4
1.7
5
5.8
6
7
4. The function f satisfies f (0) = 20. The first derivative of f satisfies the inequality 0 ≤ f'(x) ≤ 7 for all x in
the closed interval [0, 6]. Selected values of f' are shown in the table above. The function f has a continuous
second derivative for all real numbers.
(b) Determine whether the actual value of f(6) could be 70. Explain your reasoning.
(a) Use a midpoint Riemann sum with three subintervals of equal length indicated by the data in the table to
approximate the value of f(6).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F466923f0-6f55-4935-bc1a-e5c184127f99%2Fae215b2f-adcd-4a5d-aea4-e1a43bb42bdf%2Fhkb197m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:X
f'(x)
0
4
1
3.5
2
2
3
0.8
4
1.7
5
5.8
6
7
4. The function f satisfies f (0) = 20. The first derivative of f satisfies the inequality 0 ≤ f'(x) ≤ 7 for all x in
the closed interval [0, 6]. Selected values of f' are shown in the table above. The function f has a continuous
second derivative for all real numbers.
(b) Determine whether the actual value of f(6) could be 70. Explain your reasoning.
(a) Use a midpoint Riemann sum with three subintervals of equal length indicated by the data in the table to
approximate the value of f(6).
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