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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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2nd way: integral ∫ log √x(x^n) 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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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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Pantun Melayu [Buah cempedak di luar pagar]
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integral ∫ x dx withOUT using Power rule.
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Pantun Melayu [Sorong papan tarik papan]
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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)
2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx
Simplify the following statements using only the connectives ∧, ∨ and ¬
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Find the power set of each of the following sets ...
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logic: Translate the following compound into symbols using statements P & Q & logical connective
derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.
2nd way: exp integral ∫2^(5x) 3^(-x) dx
If P and Q are statements, then write the negation of P Q using only the connectives ∧ and ¬
set Show X∩ ((Y∪ X') ∩ Y') = ∅
Show that ar sinh(x) = ln(x + √ (x^2+1))
alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"