Use Newton's Method with the Initial Approximation $x _ { 1 } = 2$

Use Newton's method with the initial approximation $x _ { 1 } = 2$ to find $x _ { 2 }$ , the second approximation to a root of the equation $x ^ { 5 } - 34 = 0$ .

A) $\frac { 79 } { 40 }$

B) $\frac { 81 } { 40 }$
C) $\frac { 77 } { 40 }$
D) $\frac { 161 } { 80 }$
E) $\frac { 83 } { 40 }$
F) $\frac { 157 } { 80 }$

G)
$\frac { 163 } { 80 }$

H) $\frac { 159 } { 80 }$

Correct Answer:

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