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The function f(x) changes value when x changes from xo to xo + dx. f(x) = x³ -x, x₁ = 3, dx = 0.1 a. Find the change Af=f(xo + dx)-f(xo). b. Find the value of the estimate df = f'(x) dx. c. Find the approximation error Af-df. a. Find the change Af=f(x₁+dx) -f(xo). Af= (Round to three decimal places as needed.) b. Find the value of the estimate df = f'(xo) dx. df= (Round to three decimal places as needed.) c. Find the approximation error Af-df. | Af-df|= (Round to three decimal places as needed.)

The function f(x) changes value when x changes from xo to xo + dx. f(x) = x³ -x, x₁ = 3, dx = 0.1 a. Find the change Af=f(xo + dx)-f(xo). b. Find the value of the estimate df = f'(x) dx. c. Find the approximation error Af-df. a. Find the change Af=f(x₁+dx) -f(xo). Af= (Round to three decimal places as needed.) b. Find the value of the estimate df = f'(xo) dx. df= (Round to three decimal places as needed.) c. Find the approximation error Af-df. | Af-df|= (Round to three decimal places as needed.)

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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The function f(x) changes value when x changes from xo to xo + dx. f(x) = x³ -x, x₁ = 3, dx = 0.1 a. Find the change Af=f(xo+dx)-f(xo). b. Find the value of the estimate df = f'(x) dx. c. Find the approximation error Af-df. a. Find the change Af=f(xo + dx) -f(xo). Af= (Round to three decimal places as needed.) b. Find the value of the estimate df = f'(xo) dx. df= (Round to three decimal places as needed.) c. Find the approximation error Af-df). |Af-df|= (Round to three decimal places as needed.) 0 (xo-f(x)) Tangent хо dx y=f(x)/ Af-fixo + dx)-f(x) F df-f(x) dx xo + dr
Transcribed Image Text:The function f(x) changes value when x changes from xo to xo + dx. f(x) = x³ -x, x₁ = 3, dx = 0.1 a. Find the change Af=f(xo+dx)-f(xo). b. Find the value of the estimate df = f'(x) dx. c. Find the approximation error Af-df. a. Find the change Af=f(xo + dx) -f(xo). Af= (Round to three decimal places as needed.) b. Find the value of the estimate df = f'(xo) dx. df= (Round to three decimal places as needed.) c. Find the approximation error Af-df). |Af-df|= (Round to three decimal places as needed.) 0 (xo-f(x)) Tangent хо dx y=f(x)/ Af-fixo + dx)-f(x) F df-f(x) dx xo + dr
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