Explanation Given information: Consider the function ∇ f ( 3.5 , 9 ) = ( 2 , − 1 ) . Calculation: Know that the equation is Δ f ≈ ∇ f p ⋅ Δ v .......(1) Here, Δ f = f ( a + h , b + k ) − f ( a , b ) and Δ v = 〈 h , k 〉 . Find the value of Δ f = f ( 3.53 , 8.98 ) − f ( 3.5 , 9 ) . Take a = 3.5 , b = 9 , h = .03 and k = − .02 . Δ f = f ( 3.5 + 0.03 , 9 − 0.02 ) − f ( 3.5 , 9 ) = f ( 3.53 , 8.98 ) − f ( 3.5 , 9 ) With the help of equation (1), rewrite the Δ f as; Δ f = f ( 3

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Chapter 14.5, Problem 59E

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Find the value of Δf=f(3.53,8.98)−f(3.5,9).

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Chapter 14.5, Problem 58E

Chapter 14.5, Problem 60E

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Chapter 14 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E

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Find the value of Δ f = f ( 3.53 , 8.98 ) − f ( 3.5 , 9 ) .

Solution Summary: The author explains how to calculate the value of Delta f, which is 0.08.

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Find the value of Δf=f(3.53,8.98)−f(3.5,9).

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Chapter 14 Solutions