For the following nonlinear equation, implement Newton's method for iterative solution using numerical derivatives (forward difference) with a step size in t of 0.00001. 0 = 4t2+ 2t3cos(8t) (Hint: use radians.)For a starting point of t = 1.0 ( at number of iterations = 0), what is the value of t after 50 iterations of the Newton method?

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For the following nonlinear equation, implement Newton's method for iterative solution using numerical derivatives (forward difference) with a step size in t of 0.00001. <br/><br/>0 = 4t<sup>2</sup>+ 2t<sup>3</sup>cos(8t) (Hint: use radians.)<br/><br/>For a starting point of t = 1.0 ( at number of iterations = 0), what is the value of t after 50 iterations of the Newton method?