1 View PremiumJun 22, 2023
STPM Math T Sem.2:
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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2 ways: sq root derivative 1/(√√(1/√x))
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integral ∫ x dx withOUT using Power rule.
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trig Write each expression as an equivalent algebraic expression involving only x.
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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx
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3 ways: Derivative x^(-1/x)
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3 ways: rational function integral ∫2x/(x+1)^2 dx
2nd/2parts: Linear interpolation (2 given points)
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Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx
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GPT4: A tweet snippet from Michal Kosinski
A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.
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Pure Math: Calculate the coordinates of the two points on the curve
1st/parts: Derivative of the inverse circular functions
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expon directive a^f(x)
2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)
2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".
STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]
4 ways: exp integral ∫a^(bx+c) dx