# Question 6 of 149n. Use Newton's Method to calculate 97t with xo = 27The ninth positive solution of sin(x) = 0 is x(Give your answers to six decimal places.)Xз

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6 views help_outlineImage TranscriptioncloseQuestion 6 of 14 9n. Use Newton's Method to calculate 97t with xo = 27 The ninth positive solution of sin(x) = 0 is x (Give your answers to six decimal places.) Xз fullscreen
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Step 1 help_outlineImage TranscriptioncloseConsider the given ninth positive solution of sinr 0 is x 97 Let the function be f(x) sinx and x 27 Calculate the derivative of f (x)=sinx as f'(x) =COSx f(x) f(x,) Note that, the Newton Raphson method is given by x= x n+1 fullscreen
Step 2 help_outlineImage TranscriptioncloseNow, compute the value of x using Newton Raphson method as follows f(x) f(x) sin (27) =27 cos(27 0.956376 30.273704 =27- -0.292139 Now, compute the value of x, using Newton Raphson method as follows f(x) sin (30.273704) cos(30.273704 = 30.273704 0.909559 32.462375 = 30.273704 0.415576 fullscreen

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