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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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Review: Linear form, Quadratic form & Bilinear form
A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx
prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.
multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
prob stat: 2nd/2 parts. One sample has a mean of M=6 &
prob stat: One sample of n=4 scores has a mean of M=10, &
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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2
Columbia U: 4th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx
U Arizona: For each integral decide which of the following is needed:
Express the sum of the digits of the number (1000^20 - 20) in decimal notation
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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?