Midterm 2 SolutionsMath 10C. Spring 2013.Prof. Ben Hummon1. Consider the following function.z=f(x, y) =radicalbig25−x2−y2(a) Findf(2,√5).(b) Find the gradient∇f.(c) Evaluate the gradient atP=(2,√5).(d) Make a contour diagram withz= 3,4,and5contours. Please also draw and label thepointP=(2,√5).(e) Find an equation for the tangent line to the level set atP=(2,√5).Solution.