The function f(x) changes value when x changes from xo to xo + dx. 3 f(x)=x-x, xo = 3, dx = 0.2 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.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The function f(x) changes value when x changes from Xo to Xo + dx. f(x)=x^3-x, Xo=3, dx=0.2 a) find the change b) find the value of estimate c) find the approximation error
The function f(x) changes value when x changes from xo to xo + dx.
3
f(x) = x - x, xo = 3, dx = 0.2
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.)
Transcribed Image Text:The function f(x) changes value when x changes from xo to xo + dx. 3 f(x) = x - x, xo = 3, dx = 0.2 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.)
0
(xo-fixo))
Tangent
O
y = f(x)
N
df = f'(xo) dx
to + dr
Save
Af = f(xo + dx) -f(x)
Transcribed Image Text:0 (xo-fixo)) Tangent O y = f(x) N df = f'(xo) dx to + dr Save Af = f(xo + dx) -f(x)
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