Your house lies on the surface z = f(x,y) = 2(x/50)^2 – (y/50)^2 directly above the point (200,150) in the xy-plane. x, y, and z are measured in meters.

a) How high above the xy-plane do you live?
b) What is the slope of your lawn when you look from your house directly toward the z-axis (that is along the vector -200i – 150j)? Express the slope as an angle in degrees!
c) When you wash your care in the driveway, on this surface above the point (200,150), which way does the water run off? Give the answer as a two directional vector. (Water runs off in direction of steepest decent)

Question

Your house lies on the surface z = f(x,y) = 2(x/50)^2 – (y/50)^2  directly above the point (200,150) in the xy-plane. x, y, and z are measured in meters.

a)	How high above the xy-plane do you live?
b)	What is the slope of your lawn when you look from your house directly toward the z-axis (that is along the vector -200i – 150j)? Express the slope as an angle in degrees!
c)	When you wash your care in the driveway, on this surface above the point (200,150), which way does the water run off? Give the answer as a two directional vector. (Water runs off in direction of steepest decent)

anonymous · Answer

Do you know what shape the equation represents?