Explanation Given: The given functionis: R ( c ) = a c 2 1 + b c 2 − k c Calculation: The line, y = − k c + a b = − 7 c + 10 0.08 = − 7 c + 125 It is an asymptote to the graph of R ( c ) . Find the critical points of the graph, we have 0 = R ′ ( c ) = ( 1 + b c 2 ) ( 2 a c ) − ( a c 2 ) ( 2 b c ) ( 1 + b c 2 ) 2 − k = 2 a c + 2 a b c 2 − 2 a b c 2 ( 1 + b c 2 ) 2 − k = 2 a c ( 1 + b c 2 ) 2 − k Substitute the 10 for a , 0.08 for b and 7 for k : 0 = 20 c ( 1 + 0.08 c 2 ) 2 − 7 0 = 7 ( 1 + 0.08 c 2 ) 2 − 20 c 0 = 7 ( 1 + 0.16 c 2 + 0.0064 c 4 ) − 20 c 0 = 0.0448 c 4 + 1.12 c 2 − 20 c + 7 The roots of the equation are: c 1 = 0.36 and c 2 = 6.40 The critical points are; ( 0.36 , R ( 0.36 ) ) and ( 6.40 , R ( 6.40 ) ) We have, R ( 0.36 ) = 10 ( 0.36 ) 2 1 + 0.08 ( 0.36 ) 2 − 7 ( 0.36 ) = 10 ( 0.1296 ) 1 + 0.08 ( 0.1296 ) − 2.52 = 1.296 1.010368 − 2.52 = − 1.24 The value of R is negative which is fall outside of domain To determine (b) The value of c given function will valid.

2nd Edition

ISBN: 9780321964038

Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher: Pearson Addison Wesley,

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Chapter 5.CR, Problem 75CR

To determine

(a)

To Graph:

The given function R(c)=ac21+bc2−kc when a=10, b=0.08 and k=7.

To determine

(b)

The value of c given function will valid.

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Chapter 5.CR, Problem 74CR

Chapter 5.CR, Problem 76CR

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(a) To Graph: The given function R ( c ) = a c 2 1 + b c 2 − k c when a = 10 , b = 0.08 and k = 7 .

Solution Summary: The author explains that the given function R(c)=ac

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(a)

To Graph:

The given function R(c)=ac21+bc2−kc when a=10, b=0.08 and k=7.

(b)

The value of c given function will valid.

Want to see the full answer?

Chapter 5 Solutions

(a) To Graph: The given function R ( c ) = a c 2 1 + b c 2 − k c when a = 10 , b = 0.08 and k = 7 .

Solution Summary: The author explains that the given function R(c)=ac

Concept explainers

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(a) To Graph: The given function R(c)=ac21+bc2−kc when a=10, b=0.08 and k=7.

(b) The value of c given function will valid.

Want to see the full answer?

Chapter 5 Solutions

(a)

To Graph:

The given function R(c)=ac21+bc2−kc when a=10, b=0.08 and k=7.

(b)

The value of c given function will valid.