Please do all three part of these questions. Thank you for your help. 33. Let f be a function with derivative given by f'(x) = x' – 5x? + e*. On which of the following intervals is thegraph of f concave down?(A) (-00, 0.117) only(B) (-00, 1.144)(C) (0.116, 2.062)(D) (0.673, 2.863)(E) (2.863, o0)34. What is the average value of y = Jcos x on the interval 0 < x (A) -0.637(B) 0.500(C) 0.763(D) 1.198(E) 1.88235. Let y = f(x) be the solution to the differentialequation= x - y with initial condition f(1) = 3. What isdxthe approximation for f(2) obtained by using Euler's method with two steps of equal length starting at x = 1?7(A)4(C)421(E)4(В) 1(D) 2

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Description: Please do all three part of these questions. Thank you for your help. 33. Let f be a function with derivative given by f'(x) = x' – 5x? + e*. On which of the following intervals is thegraph of f concave down?(A) (-00, 0.117) only(B) (-00, 1.144)(C) (

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33. Let f be a function with derivative given by ƒ'(x) = x³ − 5x² + e*. On which of the following intervals is the graph of f concave down? (A) (-∞, 0.117) only (B) (-∞, 1.144) (C) (0.116,2.062) (D) (0.673, 2.863) (E) (2.863, ∞)

33. Let f be a function with derivative given by ƒ'(x) = x³ − 5x² + e*. On which of the following intervals is the graph of f concave down? (A) (-∞, 0.117) only (B) (-∞, 1.144) (C) (0.116,2.062) (D) (0.673, 2.863) (E) (2.863, ∞)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 2E

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Topic Video

Question

Please do all three part of these questions. Thank you for your help.

33. Let f be a function with derivative given by f'(x) = x' – 5x? + e*. On which of the following intervals is the
graph of f concave down?
(A) (-00, 0.117) only
(B) (-00, 1.144)
(C) (0.116, 2.062)
(D) (0.673, 2.863)
(E) (2.863, o0)
34. What is the average value of y = Jcos x on the interval 0 < x <?
(A) -0.637
(B) 0.500
(C) 0.763
(D) 1.198
(E) 1.882
35. Let y = f(x) be the solution to the differential
equation
= x - y with initial condition f(1) = 3. What is
dx
the approximation for f(2) obtained by using Euler's method with two steps of equal length starting at x = 1?
7
(A)
4
(C)
4
21
(E)
4
(В) 1
(D) 2

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