Calc3

Describe in words the surface whose equation is given. (Assume that r is not negative.) θ = π/4

Describe in words the surface whose equation is given. r = 4

p=

for spherical coordinates, cos φ=

Describe in words the surface whose equation is given. ρ = 8

Identify the surface whose equation is given. ρ = sin θ sin φ

in spherical coordinates, (x2+y2+z2)2=p^ what?

in spherical coordinates dV=

dA=

x2+y2=

The Jacobian is ∂(x, y) ∂(u, v) =matrix ∂x/∂u ∂x/∂v ∂y/∂u ∂y/∂v

Determine whether or not the given set is open, connected, and simply-connected. (Select all that apply.) {(x, y) | 9 ≤ x2 + y2 ≤ 16, y ≥ 0}

Question Part Points Submissions Used Determine the qualities of the given set. (Select all that apply.) {(x, y)| x ≠ 1}

clairaut's theorem

domain = R2 is ?

F is conservative when derivative of first half is equal to

gradient of f is continuous f is