Question: 9. Consider: g(x) = cos(x) h(x) = sin(x). (a) Use WolframAlpha to plot the graphs of g(x) and h(x) on the same set of axes

9. Consider: g(x) = cos(x) h(x) = sin(x). (a) Use
9. Consider: g(x) = cos(x) h(x) = sin(x). (a) Use WolframAlpha to plot the graphs of g(x) and h(x) on the same set of axes for r E [0, 7/2). Include a screenshot of the commands entered into WolframAlpha and the plot that was generated. From your plot, describe when g(x) > h(x). (b) Starting with an initial guess of ro = 1.5, carry out 3 iterations of Newton's method to estimate the value of r e [0, x/2] where g(x) = h(x). Round to no less than 6 decimal places for all calculations. Show all working to obtain full marks. Hint: Newton's method approximates r* in f(x*) = 0 for an arbitrary function f(x).]

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