Calc 2 exam 4

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7 Terms

1
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Pn(x)

f(a) + f’(a)(x-a) + (f’’(a)(x-a)2)/2! +…+ (f'n(a)(x-a)n)/n!

2
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Parametric curve tan. line slope

m= dy/dx = y’(t)/x’(t)

3
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Polar curve tan. line slope

m= dy/dx = f’(θ)sinθ+f(θ)cosθ / f’(θ)cosθ-f(θ)sinθ

4
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Area of region bounded by a polar curve

A= ½ ∫αβ r2dθ

5
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Area of region between two polar curves

A=½ ∫αβ ( [ f(θ) ]² - [ g(θ) ]² ) dθ

6
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Half angle formula sin²x

(1-cos(2x)) /2

7
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Half angle formula cos²x

(1+cos(2x)) /2