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Using Linear Approximation, estimate & for a change in x from x-ax=& f(x)=x, a=32, b=32.4 Comider the work to estimate Af =-0.00500 Af = '(a) Ax=(-0.4)=- Identify the first error in the estimate of A/. The change in x should be Ax=0.4. The derivative off should be The value of f'(a) should be '(a) = 3.2. The derivative off should be x The value of f'(a) should be /'(a) -3.2. Using Linear Approximation, estimate Af. (Use decimal notation. Give your answer to live decimal places.) A/ Al Use a calculator to compute the error in the Linear Approximation. (Use decimal notation. Give your answer to live decimal places.) OFFOR A

Using Linear Approximation, estimate & for a change in x from x-ax=& f(x)=x, a=32, b=32.4 Comider the work to estimate Af =-0.00500 Af = '(a) Ax=(-0.4)=- Identify the first error in the estimate of A/. The change in x should be Ax=0.4. The derivative off should be The value of f'(a) should be '(a) = 3.2. The derivative off should be x The value of f'(a) should be /'(a) -3.2. Using Linear Approximation, estimate Af. (Use decimal notation. Give your answer to live decimal places.) A/ Al Use a calculator to compute the error in the Linear Approximation. (Use decimal notation. Give your answer to live decimal places.) OFFOR A

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
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Using Linear Approximation, estimate A/ for a change in x from x=atox= f(x)=x, a=32, b = 32.4 Consider the work to estimate Af. (a)=-32- Af % f'(a) Ax= (04)= (-0.4)=-0.00500 Identify the first error in the estimate of Af. The change in x should be Ax = 0.4. The derivative off should be The value of f'(a) should be '(a) = 3.2. The derivative off should be x The value of f'(a) should be f'(a) = -3.2 Using Linear Approximation, estimate Af. (Use decimal notation. Give your answer to five decimal places.) Af Rs Use a calculator to compute the error in the Linear Approximation. (Use decimal notation. Give your answer to live decimal places.) CITOR A
Transcribed Image Text:Using Linear Approximation, estimate A/ for a change in x from x=atox= f(x)=x, a=32, b = 32.4 Consider the work to estimate Af. (a)=-32- Af % f'(a) Ax= (04)= (-0.4)=-0.00500 Identify the first error in the estimate of Af. The change in x should be Ax = 0.4. The derivative off should be The value of f'(a) should be '(a) = 3.2. The derivative off should be x The value of f'(a) should be f'(a) = -3.2 Using Linear Approximation, estimate Af. (Use decimal notation. Give your answer to five decimal places.) Af Rs Use a calculator to compute the error in the Linear Approximation. (Use decimal notation. Give your answer to live decimal places.) CITOR A
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