7.1 Let f (x) = 4 -x2, and let P be a partition of [0, 1] given by P = n 74, ly, ne N.. Find U (P) and L (P) with respect to this partition P. 7.2 Obtain also the values U (Px) and L (Px) for the function in 7.1 where P. is obtained by dividing [1, 2] into n equal intervals. Hint 1: [Pan is obtained by dividing [1, 2] into n equal intervals so Pan = [1, 1+ 1, 1+ 2, ..., 1+ n] ] Hint 2 : See also that f (x) = 4-x2 is a decreasing function on these intervals