I can compute the area between two curves on an interval. I can find where two curves intersect and then determine the area of a bounded region defined by two or more curves. 1. Consider the region 2 bounded between the curves y = f(x) = sin(x) and y = g(x) = cos(2x) on the interval [-5, 7 (a) Find the x-coordinate of the point of intersection(s) of the two functions f and g. Hint: First rewrite g(x) in terms of one or more trigonometric functions of x rather than 2x. Use trigonometric identities. Then try to express the equation f(x) =g(x) so that only one kind of trigonometric function appears. (b) Sketch the curves and shade the region 2. (Your sketch must be of a reasonable size. Small, cramped sketches will not meet the target.) Show the representative rectangles in your sketch. (You must show the rectangle(s). This is not optional.) (c) Set up the integral(s) that will determine the area of the region R. (d) Determine the exact value of the area of the region R