Calc Exam 3 Formulas
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14 Terms
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spherical coordinates
(rho, theta, phi)
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rho =
sqrt x²+y²+z²
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theta =
tan(theta) = y/x
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phi =
cos(phi) = z/rho
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x in spherical
rho sin(phi) cos(theta)
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y in spherical
rho sin(phi) sin(theta)
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z in spherical
rho cos(phi)
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cylindrical coordinates
(r, theta, z)
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r =
sqrt (x²+y²)
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x in cylindrical
r cos(theta)
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y in cylindrical
r sin(theta)
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curl(F) =
gradient x F
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div(F)=
gradient dot product F
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Green’s Theorem
relates a line integral around a simple, closed curve to a double integral over the 2D region it encloses
Note 
Flashcards (37)