NUS MA1102R: For f(x,y) = e^(xy) + x/y, compute fx & fy

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Penggg0710

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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2 ways: sq root derivative 1/(√√(1/√x))

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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lim x/e^x? as x→∞

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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Bijection of elements in tn & a pair of elements of (n+1)

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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MovieMaster99

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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2 ways: integral ∫ (4t+7) dt

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Show Σ(a+bk) = (a+1/2bn)(n+1)

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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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.

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Simplify the Boolean function F=A+A'B

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Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))

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multivariable Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1)...

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