Calc 3 Exam 3 Equations
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Last updated 8:20 PM on 3/28/26
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12 Terms
1
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(Spherical) X
psin(phi)cos(theta)
2
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(Spherical) Y
psin(phi)sin(theta)
3
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(Spherical) Z
pcos(theta)
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(Spherical) dV
p²sin(phi)dpd(phi)d(theta)
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(Cylindrical) X
rcos(theta)
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(Cylindrical) Y
rsin(theta)
7
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(Cylindrical) Z
Z
8
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(Cylindrical) dV
rdzdrd(theta)
9
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Unit Circle
sin gets (1/2) first in (pi/3) and then sqrt2/2 and lastly you get (1/2) instead of (sqrt3/2) in cos (pi/6)
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When you have vertices in triple
Z=ax+by+c
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12
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Average Value
1/the area of the shape times the integral
