EBK PRECALCULUS W/LIMITS

3rd Edition

ISBN: 9781285607160

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter 5.4, Problem 85E

To determine

To find: The domain of f and g .

Expert Solution

Answer to Problem 85E

f:R−{0}g:R−{0}

Explanation of Solution

Given:Let x=π3 in the identity and define the function f and g as follows.

f(h)=sin[(π3)+h]−sin(π3)hg(h)=cosπ3(sinhh)−sinπ3(1−coshh)

Domain:It is input value of function where function is well defined.

f(h)=sin[(π3)+h]−sin(π3)hg(h)=cosπ3(sinhh)−sinπ3(1−coshh)

Both function are defined on all real value of h except at h=0.

f:R−{0}g:R−{0}

To determine

To complete: The table value of f and g .

Expert Solution

Answer to Problem 85E

h0.50.20.10.050.020.01f(h)0.267390.267390.455910.478150.491310.49566g(h)0.267390.267390.455910.478150.491310.49566

Explanation of Solution

Given: Let x=π3 in the identity and define the function f and g as follows.

f(h)=sin[(π3)+h]−sin(π3)hg(h)=cosπ3(sinhh)−sinπ3(1−coshh)

To complete the table using graphing utility.

h0.50.20.10.050.020.01f(h)0.267390.267390.455910.478150.491310.49566g(h)0.267390.267390.455910.478150.491310.49566

To determine

To graph: The function f and g.

Expert Solution

Explanation of Solution

Given: Let x=π3 in the identity and define the function f and g as follows.

f(h)=sin[(π3)+h]−sin(π3)hg(h)=cosπ3(sinhh)−sinπ3(1−coshh)

Graph of function f

EBK PRECALCULUS W/LIMITS, Chapter 5.4, Problem 85E , additional homework tip 1

Graph of function g

EBK PRECALCULUS W/LIMITS, Chapter 5.4, Problem 85E , additional homework tip 2

To determine

To find: The value of f and gat h→0+ .

Expert Solution

Explanation of Solution

Given: Let x=π3 in the identity and define the function f and g as follows.

f(h)=sin[(π3)+h]−sin(π3)hg(h)=cosπ3(sinhh)−sinπ3(1−coshh)

Using table,

h0.50.20.10.050.020.01f(h)0.267390.267390.455910.478150.491310.49566g(h)0.267390.267390.455910.478150.491310.49566

The value of f is 0.5 and value of g is 0.5

Using graph,

EBK PRECALCULUS W/LIMITS, Chapter 5.4, Problem 85E , additional homework tip 3

The value of f is 0.5 and value of g is 0.5

Chapter 5.4, Problem 84E

Chapter 5.4, Problem 86E

Chapter 5 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E

Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - Prob. 49E Ch. 5.1 - Prob. 50E Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.1 - Prob. 59E Ch. 5.1 - Prob. 60E Ch. 5.1 - 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Prob. 10E Ch. 5.4 - Prob. 11E Ch. 5.4 - Prob. 12E Ch. 5.4 - Prob. 13E Ch. 5.4 - Prob. 14E Ch. 5.4 - Prob. 15E Ch. 5.4 - Prob. 16E Ch. 5.4 - Prob. 17E Ch. 5.4 - Prob. 18E Ch. 5.4 - Prob. 19E Ch. 5.4 - Prob. 20E Ch. 5.4 - Prob. 21E Ch. 5.4 - Prob. 22E Ch. 5.4 - Prob. 23E Ch. 5.4 - Prob. 24E Ch. 5.4 - Prob. 25E Ch. 5.4 - Prob. 26E Ch. 5.4 - Prob. 27E Ch. 5.4 - Prob. 28E Ch. 5.4 - Prob. 29E Ch. 5.4 - Prob. 30E Ch. 5.4 - Prob. 31E Ch. 5.4 - Prob. 32E Ch. 5.4 - Prob. 33E Ch. 5.4 - Prob. 34E Ch. 5.4 - Prob. 35E Ch. 5.4 - Prob. 36E Ch. 5.4 - Prob. 37E Ch. 5.4 - Prob. 38E Ch. 5.4 - Prob. 39E Ch. 5.4 - Prob. 40E Ch. 5.4 - Prob. 41E Ch. 5.4 - Prob. 42E Ch. 5.4 - Prob. 43E Ch. 5.4 - Prob. 44E Ch. 5.4 - Prob. 45E Ch. 5.4 - Prob. 46E Ch. 5.4 - Prob. 47E Ch. 5.4 - Prob. 48E Ch. 5.4 - Prob. 49E Ch. 5.4 - Prob. 50E Ch. 5.4 - Prob. 51E Ch. 5.4 - Prob. 52E Ch. 5.4 - Prob. 53E Ch. 5.4 - Prob. 54E Ch. 5.4 - Prob. 55E Ch. 5.4 - Prob. 56E Ch. 5.4 - Prob. 57E Ch. 5.4 - Prob. 58E Ch. 5.4 - Prob. 59E Ch. 5.4 - 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