1. Using R, compute the surface area of rotating the curve sin(x)+cos(x^2 ) from 0 to 2 about the x-axis. 2. Using R, find the

1. Using R, compute the surface area of rotating the curve sin(x)+cos(x^2 ) from 0 to 2π about the x-axis.

2. Using R, find the extreme value of the function y = |x^2 -27| on the interval (-1,3).