Question 14 Suppose that f'(x) > 0 for all x E R. Let g(x) = f(2x – x2) for all r E R. Then on [3, 5], (a) g(3) is the min and g(5) is the max value (b) g(3) is the max and g(5) is the min value (c) g(xo) is the max value of g for some 3 < xo < 5 (d) g(uo) is the min value of g for some 3 < uo < 5 (e) none of these Question 15 If f'(0) = 1, then f(sin 3x) – f(0) lim (a) 3 (b) 1 (c) 1/3 (d) 0 (e) none of these

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Can u please answer14 and 15 ' will rate u

Question 14 Suppose that f' (x) > 0 for all x E R. Let g(x) = f(2x – x²) for all x E R. Then on [3, 5],
(a) g(3) is the min and g(5) is the max value
(b) g(3) is the max and g(5) is the min value
(c) g(xo) is the max value of g for some 3 < xo < 5
(d) g(uo) is the min value of
for some 3 < uo < 5
(e) none of these
Question 15 If f'(0) = 1, then
f (sin 3x) – f(0)
lim
(а) 3
(b) 1
(c) 1/3
(d) 0
(e) none of these
Transcribed Image Text:Question 14 Suppose that f' (x) > 0 for all x E R. Let g(x) = f(2x – x²) for all x E R. Then on [3, 5], (a) g(3) is the min and g(5) is the max value (b) g(3) is the max and g(5) is the min value (c) g(xo) is the max value of g for some 3 < xo < 5 (d) g(uo) is the min value of for some 3 < uo < 5 (e) none of these Question 15 If f'(0) = 1, then f (sin 3x) – f(0) lim (а) 3 (b) 1 (c) 1/3 (d) 0 (e) none of these
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