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Me and the Alien MuMu 07
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lim x/e^x? as x→∞
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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3rd/3part: Maclaurin Series [ahp kia]
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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.
IIT-1995 2nd way integral ∫x^5/(1+x^3) dx
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2 ways: Derivative √ (1+√ (1+√ x)))
prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
CMU integral ∫1/(x^2 √(16x^2 -19)) dx
Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx
Sword of The Demon Hunter S01E02
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impIicit diff f x^y=y^x, find dy/dx at (2,4)
matrix example: How to select the ROW you want ...
Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx
Evaluate the integrals
sq root integral ∫1/√...√√x dx with n √
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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed
2nd way: exp integral e^3x/(e^x +2) dx withOUT u-sub