7.1 Let f (x) = 4 x 2 ; and let P be a partition of [0; 1] given by P = 0; 1 n ; 2 n ; ; n1 n ; 1 ; n 2 N:: Find U (P) and L(P) with respect to this partition P. 7.2 Obtain also the values U (P) and L(P) for the function in 7.1 where P is obtained by dividing [1; 2] into n equal intervals. Hint 1: [Pn is obtained by dividing [1; 2] into n equal intervals so Pn = [1; 1 + 1=n; 1 + 2=n; :::; 1 + n=n] ] Hint 2 : See also that f (x) = 4 x 2 is a decreasing function on these interva