8. [-/0.143 Points] DETAILS LARCALC11 13.6.016. Find the gradient of the function at the given point. g(x, y) = 11xeW/*, (14, 0) Vg (14, 0) = Need Help? Read It 9. [-/0.143 Points] DETAILS LARCALC11 13.6.017. Find the gradient of the function at the given point. z = Ir In(x- - y) - 2, (3, 8 ) X Vz(3, 8) = Need Help? Read It Watch It 10. [-/0.143 Points] DETAILS LARCALC11 13.6.020. Find the gradient of the function at the given point. w = x tan(y + z), (18, 14, -4) Vw(18, 14, -4) = Need Help? Read It Watch It 11. [-/0.143 Points] DETAILS LARCALC11 13.6.022. Use the gradient to find the directional derivative of the function at P in the direction of v. h(x, y) = =-6* sin(v), P(1, " ), v= -i12. [-/0.143 Points] DETAILS LARCALC11 13.6.024. Find the directional derivative of the function at P in the direction of v. A(x, y, 2) = xy + yz + xz, P(3, 4, -3), v = 6i + j - k Need Help? Read It 13. [-/0.142 Points] DETAILS LARCALC11 13.6.026.MI. Use the gradient to find the directional derivative of the function at P in the direction of PQ. f(x, y) = 3x2 - y2 + 4, P(1, 7), Q(2, 2) Need Help? Read It Master It 14. [-/0.142 Points] DETAILS LARCALC11 13.6.027. Use the gradient to find the directional derivative of the function at P in the direction of PQ. g(x, y, z) = xye , P(4, 12, 0), Q(0, 0, 0) Need Help? Read It Watch It15. [-/0.286 Points] DETAILS LARCALC11 13.6.030. Find the gradient of the function at the given point. Function Point Ax, y) = * + 10y (9, 3) y + 1 VF(9, 3) = Find the maximum value of the directional derivative at the given point. Need Help? Read It Watch It 16. [-/0.286 Points] DETAILS LARCALC11 13.6.032. Find the gradient of the function at the given point. Function Point h(x, y) = 5y cos(x - y) (0, 7/3) Vh (0, 1/3) = Find the maximum value of the directional derivative at the given point. Need Help? Read It17. [-/0.286 Points] DETAILS LARCALC11 13.6.035. Find the gradient of the function at the given point. Function Point R(x, y, z) = Vx2+2+ z2 (10, 3, 4) VA(10, 3, 4) = Find the maximum value of the directional derivative at the given point. Need Help? Read It 18. [-/0.142 Points] DETAILS LARCALC11 13.6.055. The temperature at the point (x, y) on a metal plate is 7(x, y) = * 2 + x2 Find the direction of greatest increase in heat from the point (1, 5). Need Help? Read It1. [-/0.154 Points] DETAILS LARCALC11 13.7.008. Find an equation of the tangent plane to the surface at the given point. F(x, y) = _, (1, 2, 2) 10 2 10 5 10 Need Help? Read It 2. [-/0.154 Points] DETAILS LARCALC11 13.7.010. Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan , (8, 0, 0) Need Help? Read It Watch It 3. [-/0.154 Points] DETAILS LARCALC11 13.7.012. Find an equation of the tangent plane to the surface at the given point. F(x, y ) = x2 - 2xy + y. (2, 5, 9)