The function f(x) changes value when x changes from xo to xo + dx.

f(x) = 8x²-3x - 3, Xo = 2, dx = 0.1

a. Find the change Af=f(x₁+x)-f(xo).

b. Find the value of the estimate df = f'(xo) dx.

c. Find the approximate error |Af-df|.

a. The change Af is

(Simplify your answer. Type an integer or a decimal.)

b. The value of the estimate df is

(Simplify your answer. Type an integer or a decimal.)

<

c. The approximate error is

(Simplify your answer. Type an integer or a decimal.)

Question 7 of 20

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y

(xo.f(x))

Tangent

ХО

y = f(x)

dx

Af=f(x0 + +dx) -f(xc

= f (x0)

df = f'

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xo + dx

▶X