1. [-/5 Points] DETAILS LARCALCET7 13.7.042. MY NOTES ASK YOUR TEACHER Find the point(s) on the surface at which the tangent plane is horizontal. z = xy+ X (x, y, Z) = (2. [-5 Points] DETAILS LARCALCET7 13.7.029. MY NOTES ASK YOUR TEACHER Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces at the given point. (Enter your answers as a comma-separated list of equations.) x2 + 22 = 100, y2 + 22 = 100, (a, a, 5) 1. [-18 Points] DETAILS LARCALCET7 13.6.046. MY NOTES ASK YOUR TEACHER Consider the following. x, y) = 9x2 + 4}!2 c = 45, P(1, 3) (a) Find the gradient of the function at P. Wu, 3) = (b) Find a unit vector that is normal to the level curvex, y) = c at P. (c) Find the tangent line to the level curve .F(x, y) = c at P. (d) Sketch the level curve. the unit normal vector, and the tangent line in the xyplane. O O