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1st/2parts: Linear interpolation (2 given points)
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🪔 Happy Deepavali 🪔 [Nov-12-2023]
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2nd way: derivative (x^x)^x
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2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)
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UT Austin: trig sq root integral ∫1/(sin(x) + cos(x)) dxsin(√x)/√(x cos^3(√x)) dx
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Alternate way: trig sq root Differentiate the function w.r.t √ (1+tan(x))/(1-tan(x))
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integral ∫√(x-a)/x dx
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1st/3 parts: Growing patterns
2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(x) cos^2(x)) dx
1st/3ways: trig integral ∫sec(x) dx
Determine the equation of the normal drawn to the astroid ...
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Bijection of elements in tn & a pair of elements of (n+1)
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Compute the derivatives of the following function
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2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...
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Solve x(x-1)dy/dx - (x-2)y=x^3(2x-1) via Integrating Facto[IF]
Why is this spot… so perfect?
2nd/3part: Maclaurin Series [ahp kia]
Oula Lightning Cat, designed specifically for women—yet the “goddess” took one look and seemed a bit