11. [-/4 Points] DETAILS LARCALC12 13.6.043. Consider the following A(x, v) = 2x2 - c = 3, P(2, 5) (a) Find the gradient of the function at P. VA(2, 5) = (b) Find a unit normal vector to the level curvef(x, y) = cat P. (c) Find the tangent line to the level curve f(x, y) = cat P. (d) Sketch the level curve, the unit normal vector, and the tangent line in the xy-plane. 50 100 50 -15 10 -50 -15 -10 10 O -100 O y 100/ 50 - 15 10 15 -50 -15 -10 1-5 5 10 15 O -50 O -100 Need Help? Read It Watch It 12. [-/1 Points] DETAILS LARCALC12 13.6.053.MI. The surface of a mountain is modeled by the equation h(x, y) = 7000 - 0.001x2 - 0.004y?. A mountain climber is at the point (500, 100, 6710). In what direction should the climber move in order to ascend at the greatest rate? Need Help? Read It Master It 13. [-/1 Points] DETAILS LARCALC12 13.6.059. Find the path of a heat-seeking particle placed at point F on a metal plate whose temperature at (x, y) is 7(x, y). (x, y) = 1500 - 10x2- 5y , F(4, 4) Need Help? Read It Watch it