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

Question

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

Quizplus · Accepted Answer

Using Newton's method with initial approximation 11eaae29_f50f_15dd_87fe_f168c4020f30_TB2067_11, we compute:

f(11eaae29_f50f_15dd_87fe_f168c4020f30_TB2067_11) = -3.1453
f'(11eaae29_f50f_15dd_87fe_f168c4020f30_TB2067_11) = 16.4354
11eaae29_f50f_15dd_87fe_f168c4020f30_TB2067_11 - (-3.1453)/16.4354 = 11eaae29_f50f_3cef_87fe_39ea5305c01c_TB2067_11

Round to four decimal places to get 11eaae29_f50f_b223_87fe_dd1e4ab92493_TB2067_11 as the third approximation. Therefore, the answer is D.

Use Newton's Method with the Specified Initial Approximation to Find