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14 Cards in this Set
- Front
- Back
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inverse sine deriv
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1/sqr(1+u^2) du
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inv tan deriv
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1/(1+u^2) du
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inv sec deriv
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1/abs(u)sqr(u^2-1) du
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deriv a^u
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a^u ln(a) du
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deriv log u base a
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1/uln(a) du
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maximum profit
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marg rev=marg cost
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minimal ave cost
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marg cost=ave cost
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linearization
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L(x)=f(a)+f'(a)(x-a)
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Newton's method
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x=x0 - f(x0)/f'(x0)
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trapezoidal rule
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h/2 (y0+2y1+...+2yn-1+yn)
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Simpson's rule
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h/3 (1 4 2 4 2 4 1)
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Integration by parts
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int(u dv)=uv-int(v du)
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Newton's law of cooling
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T-Ts=(T0-Ts)e^-kt
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Euler's method
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y1=y0+f(x0, y0)dx
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