1. [-/0.333 Points] DETAILS LARCALC11 13.5.003. Find dw/dt using the appropriate Chain Rule. Function Value w=x-+ 2 t = 2 x = 3t, y = 2t dw dt Evaluate dw/dt at the given value of t. Need Help? Read It 2. [-/0.333 Points] DETAILS LARCALC11 13.5.005. Find dw/dt using the appropriate Chain Rule. Function Value w = x sIn y t = 0 xzey=I-t dw dt Evaluate dw/dt at the given value of t. Need Help? Read It Watch It 3. [-/0.333 Points] DETAILS LARCALC11 13.5.007. Consider the following. W = X 1, xzell, yet (a) Find dw/dt by using the appropriate Chain Rule. dw dt (b) Find dw/dt by converting w to a function of & before differentiating. dw dt4. [-/0.333 Points] DETAILS LARCALC11 13.5.008. Consider the following. w = cos(x - y), x = t, y = 61 (a) Find dw/dt by using the appropriate Chain Rule. dw dt (b) Find dw/dt by converting w to a function of & before differentiating. dw dt Need Help? Read It 5. [-/0.334 Points] DETAILS LARCALC11 13.5.010. Consider the following. w = xy cos z, x = t, y = t, z = arccost (a) Find dw/dt by using the appropriate Chain Rule. dw dt (b) Find dw/dt by converting w to a function of & before differentiating. dw dt Need Help? Read It Watch It 6. [-/0.334 Points] DETAILS LARCALC11 13.5.012. Consider the following. w = xy~ + x z + yz?, x = t, y = 2t, z = 2 (a) Find dw/dt using the appropriate Chain Rule. dw dt (b) Find dw/dt by converting w to a function of & before differentiating. dw dt1. [-/0.143 Points] DETAILS LARCALC11 13.6.004. Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the unit vector u = cos di + sin #j. A(x, y) = - y Bx + y P(2, 0), 8 = -_ Need Help? Read It 2. [-/0.143 Points] DETAILS LARCALC11 13.6.005. Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the unit vector u = cos di + sin ej. f(x, y) = sin(2x + y), P(0, "), 8 = - 31 6 Need Help? Read It Watch It 3. [-/0.143 Points] DETAILS LARCALC11 13.6.008. Find the directional derivative of the function at P in the direction of v. Ax, y ) = x3 - y3, P(6, 3 ), v = _2(i+ j) 2 Need Help? Read It4. [-/0.143 Points] DETAILS LARCALC11 13.6.009. Find the directional derivative of the function at P in the direction of v. g(x, y) = v x2 + y?, P(3, 4), v = 5i - 12j Need Help? Read It 5. [-/0.143 Points] DETAILS LARCALC11 13.6.012. Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ. (Give your answer correct to 2 decimal places.) f(x, y) = cos(x + y), P(0, m), (5 0) Need Help? Read It 6. [-/0.143 Points] DETAILS LARCALC11 13.6.013. Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ. F(x, y) = eby sin(x), P(0, 0), Q(5, 1) Need Help? Read it Watch It 7. [-/0.143 Points] DETAILS LARCALC11 13.6.015. Find the gradient of the function at the given point. f(x, y ) = 2x + 5yz + 1, (5, 2) VA ( 5 , 2 ) = Need Help? Read It