a. Explanation Given: It is given in the question that the difference equation of the form N t + 1 − f ( N t ) . Concept Used: In this we have to know about the concept of function and difference equation. Calculation: Evaluate the composition of functions: ( f ∘ f ) ( N t ) = f ( f ( N t ) b. To determine Find f − 1 ( N t + 1 ) ,if N t + 1 = f ( N t ) , where f is one-to-one and define f − 1 .

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Question

Chapter 1.6, Problem 26E

To determine

Find the composition of (f∘f)(Nt) ,if a difference equation of the form Nt+1−f(Nt) and define (f∘f) .

To determine

Find f−1(Nt+1) ,if Nt+1=f(Nt) , where f is one-to-one and define f−1 .

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Chapter 1.6, Problem 25E

Chapter 1.6, Problem 27E

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Chapter 1 Solutions

Biocalculus

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Find the composition of ( f ∘ f ) ( N t ) ,if a difference equation of the form N t + 1 − f ( N t ) and define ( f ∘ f ) .

Solution Summary: The author evaluates the composition of (fcirc f)(N_t) and the inverse function.

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Find the composition of (f∘f)(Nt) ,if a difference equation of the form Nt+1−f(Nt) and define (f∘f) .

Find f−1(Nt+1) ,if Nt+1=f(Nt) , where f is one-to-one and define f−1 .

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Chapter 1 Solutions