Explanation For a graph of the function f , the difference quotient computes the slope of a secant line through two points on the graph. The x -coordinates of these two points are x and x + h . Given: The difference quotient f ( a + h ) − f ( a ) h is equal to the slope of the secant line between ( 3 , f ( 3 ) ) and ( 5 , f ( 5 ) ) . Formula Used: The difference quotient is: f ( x + h ) − f ( x ) h Calculation: The slope of the secant line between th...

3rd Edition

ISBN: 9781319030728

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 3.1, Problem 3PQ

To determine

The value of a and h such that $\frac{f (a + h) - f (a)}{h}$ is equal to the slope of the secant line between $(3, f (3)) and (5, f (5))$

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Chapter 3.1, Problem 2PQ

Chapter 3.1, Problem 4PQ

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Chapter 3 Solutions

Calculus: Early Transcendentals

Ch. 3.1 - Prob. 1PQ Ch. 3.1 - Prob. 2PQ Ch. 3.1 - Prob. 3PQ Ch. 3.1 - Prob. 4PQ Ch. 3.1 - Prob. 5PQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E

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The value of a and h such that f ( a + h ) − f ( a ) h is equal to the slope of the secant line between ( 3 , f ( 3 ) ) and ( 5 , f ( 5 ) )

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The value of a and h such that f(a+h)−f(a)h is equal to the slope of the secant line between (3,f(3)) and (5,f(5))

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The value of a and h such that $\frac{f (a + h) - f (a)}{h}$ is equal to the slope of the secant line between $(3, f (3)) and (5, f (5))$