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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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Screen Recording 2024-05-05 at 11.29.37 PM
multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx
prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point
Screen Recording 2024-05-10 at 6.17.33 PM
When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
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NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)
1st/2ways: Taylor series of cos(x)
2 ways: trig integral ∫tan^3(x) sec^2(x) dx
2nd/2ways: Taylor series of sin(x)
2nd way: sq rt log integral ∫√√√(x) ln(x) dx
3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..
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2 ways: integral ∫x√(1-x) dx
Median [special weighted mean]
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