5 Suppose is the inverse of a differentiable function f, and let G(z) 1/f-¹(a). If f(4)-5 and f'(4)=-1/16, then: (a) G (5) = 1. (b) G'(5)=-1. (c) G (5) = 0. (d) None of the above.. =

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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5
(d) None of the above.
=
Suppose f¹ is the inverse of a differentiable function f, and let G(z) -
1/f-¹(a). If f(4)=5 and /'(4) = -1/16, then:
(a) G (5) = 1.
(b) G(5)=-1.
(c) G (5) = 0.
(d) None of the above.
6 An antiderivative of the function f(x) = 2/x+3x²+ z(x0) is
(a) F(x) = ln(²) +1³ +1²/2.
(b) F(x) = 2ln(x) + 3r³+²/2.
(c) None of the above.
7
Let N(t) be the number of bacteria of a given population at time t,
where t is measured in days. Based on experimental data, the growth
rate of the population is
N'(t)=2t+6
Suppose N(0) 100. How long does it take for the population to
double its initial size?
(a) At least 8 days.
(b) At most 8 days.
(e) None of the above.
human nn Farth at year
al Ob/ O c/ Od/ O
O al
O
b/ Oc/O
b/ O c/ O.
Transcribed Image Text:5 (d) None of the above. = Suppose f¹ is the inverse of a differentiable function f, and let G(z) - 1/f-¹(a). If f(4)=5 and /'(4) = -1/16, then: (a) G (5) = 1. (b) G(5)=-1. (c) G (5) = 0. (d) None of the above. 6 An antiderivative of the function f(x) = 2/x+3x²+ z(x0) is (a) F(x) = ln(²) +1³ +1²/2. (b) F(x) = 2ln(x) + 3r³+²/2. (c) None of the above. 7 Let N(t) be the number of bacteria of a given population at time t, where t is measured in days. Based on experimental data, the growth rate of the population is N'(t)=2t+6 Suppose N(0) 100. How long does it take for the population to double its initial size? (a) At least 8 days. (b) At most 8 days. (e) None of the above. human nn Farth at year al Ob/ O c/ Od/ O O al O b/ Oc/O b/ O c/ O.
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