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

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(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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prob stat: 1st/2 parts. One sample has a mean of M=6 &

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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

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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

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3 ways: Find 1+2+3+ ... + n^2.

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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5 ways: trig Derivative of sin^2(x)

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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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prob stat: One sample of n=4 scores has a mean of M=10, &

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UC Davis #1 integral 1/(1+√x) dx via power sub.

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