3(x, y) x=2v - Bu, y = 100 + 2v implies a(u, v)
Use the given vectors to compute u + v, u - v, and 5u - 2v. u = (9,-3), v = (1,7) U + V = U - V = 5u - 2y =
Consider the elliptic paraboloid which is given by (1) = {r(u, v) = (5u cos(u), 5u sin(u), u?)? | >0, v € (-,7]} . Below, we work in the chart (U,r) obtained by taking U = RX0 X (-,7), where the map r:U + R3 is defined in (1). 0 Question 2 (1 mark). Show that the second fundamental form II is given by 10 10 14u2 + 25 ( 0 u =
Given vectors u and v, find (a) 5u (b) 5u +3v (c) v-3u. u = 4i, v = 8i + 3j (a) 5 = (Type your answer in terms of i and j.) (b) 5u + 3y = (Type your answer in terms of i and j.) (c) v- 3u = (Type your answer in terms of i andj.)
ysing laplace transform 25.15. u"-2v = 2 u+v 5e2+ 1; JCOU u(0)2, u(0) 2, v(0) = 1 25.15. u"-2v = 2 u+v 5e2+ 1; JCOU u(0)2, u(0) 2, v(0) = 1
Let XN(0, 1) and Y eX. (X) (a) Find E[Y] and V(Y). (b) Compute the approximate values of E[Y] and V(Y) using E(X)(u)+"()VX) and V((X))b(u)2V(X). Do you expect good approximations? Justify your an- Swer Let XN(0, 1) and Y eX. (X) (a) Find E[Y] and V(Y). (b) Compute the approximate values of E[Y] and V(Y) using E(X)(u)+"()VX) and V((X))b(u)2V(X). Do you expect good approximations? Justify your an- Swer
Wassignet -/3 POINTS LARLINALG8 4.1.029. Find u - v, 2(u + 3v), and 2v - u. u = (7,0, -3, 9), v = (0, 6, 9, 7) (b) 2(u + 3V) - (c) 2v - u =
Solve the following relations for x and y, and compute the Jacobian J(u,v). u=x+3y, v = 5x + 4y x=y=0 (Type expressions using u and v as the variables.) Choose the correct Jacobian determinant of T below. a A. J(u, v) = du - 4u + 3v a 11 - 4u+ 3v 11 a O B. J(u,v) = -4u + 3v 11 a (5u-v dy du Mal . (517") i (517) (507°) (-44*34) dic (547) OC. Jusv) = m (...
For the functions w = xy + yz + xz, x=u +21, y=u-2v, and zuv, express dw du dw and ar using the chain rule and by expressing w directly in terms of u and v before differentiating. Then evaluate dw du dw and ov at the point (u, v) = اله | العيا dw dw Express and du ov as functions of u and v dw du dw av Evaluate dw and du ow ar at Nim dw du...
Compute u + v and u-2v. 3 8 UE V= 9 -5 Compute u +v. U +V= 8