Use Newton's method with the specified initial approximation Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation....

Use Newton's method with the specified initial approximation

Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Round your answer to four decimal places.)

(1/3)x^3 +(1/2)x^2 +10 =0,

x1=-3

x3=___________?

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Given `f(x)=1/3 x^3+1/2x^2+10`

`f'(x)=x^2+x`

Newtons method begins with a "guess", `x_1` , then proceeds...

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