As some africa leaders turned to socialism to repair he damage done by colonialism, they A) ordered foreign companies to leave africa. B) embraced the capitalism of colonialism. C) abolished government control of agriculture and industry. D) saw an increase in production of goods and food.

e3r2a1cakCh7

e3r2a1cakCh7

Answered question

2022-12-01

Let f be a differentiable function such that f(3) = 2 and f'(3) = 5. If the tangent line to the graph of f at x = 3 is used to find an approximation to a zero of f, that approximation is?

Answer & Explanation

ysik92ASw

ysik92ASw

Beginner2022-12-02Added 13 answers

Find an approximate value of a zero of f(x) near a=3. That is to say, you're looking for some value c such that f(c)=0, but all you have at your disposal is the linear approximation to the function.
f ( x ) f ( 3 ) + f ( 3 ) ( x 3 ) f ( x ) 2 + 5 ( x 2 ) f ( x ) 5 x 8
You know that if c is a zero of , f(c)=0, so you get
f ( c ) 5 c 8 0 = 5 c 8 5 c = 8 c = 8 5 = 1.6An approximate zero of f(x) is x=1.6.

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