If f(x,y)=xy, find the gradient vector ∇f(5,2) and use it to find the tangent line to the level curve f(x,y)=10 at the point (5,2). gradient vector tangent line equation o Sketch the level curve, the tangent line, and the gradient vector. (Do this on paper. Your instructor may ask you to turn in this work.) ( Find equations of the following. x 2
−2y 2
+z 2
+yz=29,(5,1,−3) (a) the tangent plane (b) the normal line to the given surface at the specified point (Enter your answer in terms of t.) x=10t+5 y= z=