1
Q
Rectangular to Cylindrical r
A
√x²+y²
2
Q
Rectangular to Cylindrical θ
A
arctan(y/x)
3
Q
Rectangular to Cylindrical z
A
z
4
Q
Cylindrical to Rectangular x
A
rcosθ
5
Q
Cylindrical to Rectangular y
A
rsinθ
6
Q
Cylindrical to Rectangular z
A
z
7
Q
Rectangular to Spherical ρ
A
√x²+y²+z²
8
Q
Rectangular to Spherical θ
A
arctan(y/x)
9
Q
Rectangular to Spherical Φ
A
arccos(z/ρ)
10
Q
Spherical to Rectangular x
A
ρsinΦcosθ
11
Q
Spherical to Rectangular z
A
ρcosΦ
12
Q
Spherical to Rectangular y
A
ρsinΦsinθ
13
Q
Cylindrical to Spherical ρ
A
√r²+z²
14
Q
Cylindrical to Spherical θ
A
θ
15
Q
Cylindrical to Spherical Φ
A
arccos(z/ρ)
16
Q
Spherical to Cylindrical r
A
ρsinΦ
17
Q
Spherical to Cylindrical θ
A
θ
18
Q
Spherical to Cylindrical z
A
ρcosΦ
Multi-Variable Calculus
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