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Calc 2 (test 2 formulas)

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valleystudent84's version from 2016-09-20 05:15

Section

Question Answer
Disk methodY = π ᶴ [R(x)^2] dX (Perpendicular Rectangles)
Washer MethoddY = π ᶴ [R(x)^2 - r(x)^2] dX (Perpendicular Rectangles)
Shell MethodY = 2π ᶴ [P(x)*h(x)] dX (Parallel Rectangles)
Arc LengthY = ᶴ (1 + Y'^2)^1/2 dX
Surface Area of a functionY = 2π ᶴ (Y)(1+Y'^2)^(1/2) dX
Area of a known shapeY = ᶴ [formula] dX
P(x) = Distance from Rectangles to AXIS OF ROTATION
h(x) = Width of area being integrated
R(x) = Outer function
r(x) = Inner function
Hookes law (explain variables)F = K * d - (F = force) - (K = spring constant) - (d = distance)
Cone (cylinder) problem formula - set up for radius and volumeπ ᶴ (r^2)(h) - r/y = r#/y#
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