Convert the rectangular point x y z 3radic3 3 4 into

Question

1. Draw a contour map of the function f(x, y) = √(4x² + y²). Draw level curves for z = 0,1.2,4.

2. Convert the rectangular point (x, y, z) = (3√3, 3, 4) into cylindrical (r, θ, z).

3. Convert the spherical point (ρ, θ, Φ) = (10, π/2, π/6) into rectangular (x, y, z).