37 Consider the curve given by the equation f(x) = 2-x. a. Sketch the region bounded by the curves f(x), g(x)=x², the lines x 0 and x 2. Hence, find the area of the region. b. Find the volume of solid...

Q37

Extracted text: 37 Consider the curve given by the equation f(x) = 2-x. a. Sketch the region bounded by the curves f(x), g(x)=x², the lines x 0 and x 2. Hence, find the area of the region. b. Find the volume of solid generated when the region bounded by the curve f (x), lines x=1 an x = 2 is rotated completely about the x-axis.