MATH 232 FINAL

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64 Terms

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d/dx \[sin(x)\] = ?
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d/dx \[cos(x)\] =?
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d/dx \[tan(x)\] = ?
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d/dx \[cot(x)\] = ?
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d/dx \[sec(x)\] =
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d/dx \[csc(x)\] = ?
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d/dx \[sin⁻¹(x)\] = ?
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d/dx \[cos⁻¹(x)\] = ?
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d/dx \[tan⁻¹(x)\] = ?
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d/dx \[cot⁻¹(x)\] = ?
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d/dx \[sec⁻¹(x)\] = ?
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d/dx \[csc⁻¹(x)\] = ?
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What is the polar equation of a circle?
r = asinθ

r = acosθ
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What is the polar equation of a cardioid?
r = a±bsinθ

r = a±bcosθ
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What is the polar equation of a lemniscate?
r² = a²sin(2θ)

r² = a²cos(2θ)
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What is the polar equation of a petal curve?
r = asin(bθ)

r = acos(bθ)
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Which polar graph is this?

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Which polar graph is this?

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cardioid
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Which polar graph is this?

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Which polar graph is this?

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One-loop limacon
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Which polar graph is this?

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Which polar graph is this?

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Two-loop limacon
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Which polar graph is this?

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Which polar graph is this?

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lemniscate
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How do you convert polar points to cartesian?
x = rcosθ

y = rsinθ
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How do you convert cartesian points to polar?
r = √(x²+y²)

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θ = tan⁻¹(y/x) if x > 0

θ = tan⁻¹(y/x) + π if x < 0
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p-Series Test
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Ratio Test
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Root Test
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Taylor Series Test
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Integral Test
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Divergence Test
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Comparison Test
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Limit Comparison Test
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Alternating Series Test
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What is the series for 1/(1-x)?
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