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

3 ways: derivative a^(f(x)g(x))

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

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

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

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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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: The discrete r.v. W has prob dist. as shown

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1st/2 ways[Direct]: Prove that the sum of 2 ODD numbers is ALWAYS EVEN

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Kimetsu no yaiba - Arc: Hashira Geiko Hen

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2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'

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logic [k map]: Simplify Boolean function F=X'Y'+X'Y+XY'+XY'

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derivative (f(x) g(x))^h(x)

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logic [k map]:Simplify Boolean function F=(X'+Y)(X+Y)

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Screen Recording 2023-12-30 at 9.34.01 PM

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2nd part: STPM Math T Sem.2: 12.1 Numerical solution of Equations

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Compute the arithmetic mean for the following grouped data ...

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UT Austin: trig integral ∫(1-cos^2(x/2))^2 sin(x/2) dx

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Alternate way: exp derivative x^n

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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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