Let f be the function defined by f(x)=6/1+x^2. Let R be the shaded region bounded by the graph of f and the horizontal line y=3, as shown in the figure above. (a) Find the area of R. (b) Write, but do not evaluate, an integral expression for the volume of the solid generated when R is rotated about the horizontal line y=7 (c) Let h(x) be the vertical distance between the point (x,f(x)) and the horizontal line y=3. Find the rate of change of h(x) with respect to x at x=2

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