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For the following problems, choose only one answer. Please circle your answer. You may show your work on the back side of this sheet. y =f'(x) y = g'(x) y = h'(x) 1. The graphs of the derivatives of the functions f, g, and h are shown above. Which of the functions f, g, or h have a relative maximum on the open interval a

For the following problems, choose only one answer. Please circle your answer. You may show your work on the back side of this sheet. y =f'(x) y = g'(x) y = h'(x) 1. The graphs of the derivatives of the functions f, g, and h are shown above. Which of the functions f, g, or h have a relative maximum on the open interval a

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the following problems, choose only one answer. Please circle your answer. You may show your work on the back side of this sheet. y = f'(x) -y g'(x) y = h'(x) 1. The graphs of the derivatives of the functions f, g, and h are shown above. Which of the functions f g. or h have a relative maximum on the open interval a <x < b? (A) f only (B) g only (C) h only (D) f and g only (E) f, g and h 2. What are all values of x for which the function f is defined by f(x) = x³ + 3x2 - 9x + 7 is increasing? (B) -1 <x< 1 (C) x< -3 or x>1 (D) x< -1 or x> 3 (E) All real numbers (A) -3 < x< 1 13 3. What is the x-coordinate of the point of inflection on the graph of y =x³ + 5x² + 24 ? 10 (A) 5 (В) 0 (C) - (D) -5 (E) -10 4. The function f given be f (x) = 3x5 - 4x3 – 3x has a relative maximum at x= V5 (B) - (C) 0 (D) (E) 1 (A) -1 5. The graph of y = 3x* – 16x3 + 24x2 + 48 is concave down for (B) x > 0 (C) x< -2 orx> -를 D) r<름 orx> 2 (B)를 <x<2 (A) x <0
Transcribed Image Text:For the following problems, choose only one answer. Please circle your answer. You may show your work on the back side of this sheet. y = f'(x) -y g'(x) y = h'(x) 1. The graphs of the derivatives of the functions f, g, and h are shown above. Which of the functions f g. or h have a relative maximum on the open interval a <x < b? (A) f only (B) g only (C) h only (D) f and g only (E) f, g and h 2. What are all values of x for which the function f is defined by f(x) = x³ + 3x2 - 9x + 7 is increasing? (B) -1 <x< 1 (C) x< -3 or x>1 (D) x< -1 or x> 3 (E) All real numbers (A) -3 < x< 1 13 3. What is the x-coordinate of the point of inflection on the graph of y =x³ + 5x² + 24 ? 10 (A) 5 (В) 0 (C) - (D) -5 (E) -10 4. The function f given be f (x) = 3x5 - 4x3 – 3x has a relative maximum at x= V5 (B) - (C) 0 (D) (E) 1 (A) -1 5. The graph of y = 3x* – 16x3 + 24x2 + 48 is concave down for (B) x > 0 (C) x< -2 orx> -를 D) r<름 orx> 2 (B)를 <x<2 (A) x <0
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