Polar Coordinates and Graphing
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5 Terms
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(x,y)
(r,θ)
2
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unit conversions
cosθ=x/r → x=rcosθ
sinθ=y/r → y=rsinθ
tanθ=y/x → θ=tan-1(y/x)
3
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area of polar curve
from a to b → ∫ 1/2r²(θ) dθ
4
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speed formula
√(x’(t)²+y’(t)²)
5
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arc length formula
from a to b → ∫ √(x’(t)²+y’(t)²) dt
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Flashcards (27)