quiz 8

Question 1

polar coords dictionary

Answer 1

x=rcosθ
y=rsinθ
x^2 + y^2 = r^2
dA = rdrdθ

Question 2

cylindrical coords dictionary

Answer 2

x=rcosθ
y=rsinθ
z=z
x^2 + y^2 = r^2
dV = r d_ d_ d_

Question 3

sphereical coords dictionary

Answer 3

x=ρsinϕcosθ
y=ρsinϕsinθ
z=ρcosϕ
x^2 + y^2+ z^2 = ρ^2
dV = ρ^2 * sin ϕ d_ d_ d_