MAT136H1 Quiz: MAT136H1 Quiz 2 2014 Fall

(1 point) Suppose that x(s, t) = 4s2-2t2, y a function of (s, t) with y(1, 1) = 1 and (1, 1) = 4 Suppose that u-xy, v a function of z, y with (2, 1)-1 Now suppose that f(s, t) -u(x(s, t), y(s, t)) and g(s, t)-v(r(s,t), y(s, t)). You are giver (1,1) 4, (1,1)=5. The value of (1,1) must be (a) -7 (b) -6 (c) -5 (d) -4 (e) 0

Let W(s, t) = F(u(s, t), v(s, t)) where u(1, 0) = -9, us(1, 0) = 7, ut(1,0) = 2 v(1, 0) = -1, vs(1, 0) = -6, vt(1, 0) = 3 Fu(-9, -1) = -2, Fv(-9, -1) = 7 Ws(1, 0) = Wt(1, 0) = Let w = -xy - 3yz + 5 xz, x = st, y = est, z = t2 Compute (5, 2) = -2 + 10z + 2xe^(10) - 6ze^(10) (5, 2) = 300 + 43e^(10)

Let W(s, t) = F(u(s, t), v(s, t)) where u(1, 0) = -9, us(1, 0) = 7, ut(1,0) = 2 v(1, 0) = -1, vs(1, 0) = -6, vt(1, 0) = 3 Fu(-9, -1) = -2, Fv(-9, -1) = 7 Ws(1, 0) = Wt(1, 0) = Let w = -xy - 3yz + 5 xz, x = st, y = est, z = t2 Compute (5, 2) = -2y + 10z + 2xe^(10) - 6ze^(10) (5, 2) = 300 + 43e^(10)