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Single Variable Calculus

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Use Newton's Method with a Radical Function

SVCALC-YEXLC6

Using Newton's Method, we wish to find a root of:

$$f(x)=7\sqrt{x}-2$$

...starting with $x_0=\dfrac{1}{4}$.

Find $x_1$.

A

$\dfrac{7}{28}$

B

$\dfrac{3}{14}$

C

$\dfrac{1}{28}$

D

$\dfrac{7}{2}$