Term
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Definition
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Term
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Definition
π∫ab (f(x)-k)2 - (g(x) - k)2 dx
Around the line y = k
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Term
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Definition
2π∫ab |x-h|*(f(x)-g(x)) dx
Around the line x = h
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Term
Finding Centroid
_ _
(x, y) |
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Definition
( ∫ab x*(f(x)-g(x))dx
,
.5 ∫ab f(x)2 - g(x)2 dx
∫ab (f(x)-g(x)) dx )
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Term
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Definition
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Term
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Definition
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Term
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Definition
∫ab kx dx
k = spring constant
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Term
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Definition
∫if (mog - Rt) * x/Δt dt
i, f = initial/final time
R = leak rate
Δt = f - i
i usually = 0
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Term
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Definition
ρg ∫ab (H-y) A(y) dy
ρg = weight density
A(y) = area of cross-section | to y
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Term
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Definition
ρg∫ab (H-y)*L(y) dy
H = total height of plate
L(y) = length of plate at y
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Term
MVT for Integrals
(Average value on [a, b]) |
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Definition
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Term
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Definition
∫ab A(x) dx
A(x) = area of cross-section
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