Volume / Work / Arc Length
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7 Terms
1
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Washer method volume formula (about x‑axis)?
V=\int_{a}^{b}\pi(R(x)^2-r(x)^2)dx
2
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Shell method volume formula (about y‑axis)?
V=\int_{a}^{b}2\pi xh(x)dx
3
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Quick rule: when to use washer vs. shell?
Strip ⟂ axis → washer; strip ∥ axis → shell
4
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Arc length formula for y=f\left(x\right) on [a,b]?
5
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Work when force varies with position x?
6
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Work when force is constant F over distance d?
W=Fd
7
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Midpoint Rule error bound formula?
Note 
Flashcards (56)