Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval.f(x)=2/x, [0, 91(B6.C =c =5None of these1/394

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Answered: Find the number c that satisfies the…

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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3. ( interval (-2,6]. Here is the student's work: %3D A student used the Mean Value theorem on the function f(x) = |x - 1| on the (1) I calculated f(-2) = 3 and f(6) = 5. %3D (2) Then LO-[(-2) L(6)-f(-2) %3D %3D (3) By the Mean Value Theorem there is a number c in the interval (-2, 6] so that f'(c) = (The sentences have been numbered only to make it easier to refer to them.) For each sentence, explain why the student did that step. If there are any mistakes, tell the student what is incorrect about their work.
a. Determine whether the Mean Value Theorem applies to the function f(x) = e^ on the given interval [0, In 8]. b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O A. The Mean Value Theorem does not apply because the function is not continuous on [0, In 8]. O B. The Mean Value Theorem applies because the function is continuous on [0, In 8] and differentiable on (0, In 8). O C. The Mean Value Theorem does not apply because the function is not differentiable on (0, In 8). D. The Mean Value Theorem applies because the function is continuous on (0, In 8) and differentiable on [0, In 8]. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) is/are x= (Type an exact answer. Use a comma to separate answers as needed.) B. The Mean Value Theorem does not apply in this case.
The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the x-axis. The area of region A is 10, the area of region B is 19, the 7 area of region C is 6, and the area of region D is 5. What is the value of of ['₁ -4 B 54Bet -10 -9 -8 -7 -6 -5 4 -3 -2 -1 A 8 7 6 В 1) 1234 568 -1 -2 -3 y -4 -5 -8 Graph of f D 1 2 3 4 5 6 7 8 9 10 с X f(x) dx?

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Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. f(«x) =2\x,[0, 9] B. c =0 4 c =5 None of these 1/3