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a. Sketch the graphs of y=ex2 and y=cos(ex2) together. Observe the intersection of the curves. b. Use the Bisection method to find the intersection using an approximation to within (s=105) to a value in [0.5,1.5] with ex2=cos(ex2). Q.2 A trough of length L has a cross section in the shape of a semicircle with radius r. (See the figure.) When filled with water to within a distance h of the top, the volume V of water is V=L[0.5r2r2arcsin(h/r)h(r2h2)1/2] Suppose L=10m,r=1m, and V=12.4m3. Find the depth of water in the trough to within s =0.01m. Q.3 Find an approximation to 3 correct to within x=104 using the Bisection Algorithm. [Hint: Consider f(x)=x23.]