Question

Express the surface

x = 5cosθsinφ, y = 6sinθsinφ, z = 4cosφ
as a level surface f(x,y,z) = 14400,
f(x,y,z) =

Answer 1

Do you think you could show us any progress you have made to this point?

Answer 2

x^2/(5sinφ)^2 + y^2/(6sinφ)^2 =1
(sinφ)^2 =1 - (z/4)^2
substitute for sinφ

Answer 3

x^2/25 + y^2/36 = 1 - (z/4)^2
x^2/25 + y^2/36 + z^2/16 = 1

Answer 4

multiply by 14400 on both sides

Answer 5

576x^2 + 400y^2 + 900z^2 =14400= f(x,y,z)