t9u ati 15. Find the partial derivatives— of u = X2 + yz where x =pr cos °, y pr sin 0, z p r. or, ar ao 16. Let C1-1,11 )lave the inner product
1 (p, q) = p(x)q(x)dx. —1 (a) Show that pi (x) 1 and p2(x) x are orthogonal. (b) Let p3(s) a + bx cx2, Calculate (pi, p:) and (p2, p3) in terms of a, b. c. (c) Find p3 so that {2)1,1)2, p3} is orthogonal,