Screen Recording 2024-05-05 at 11.29.37 PM

review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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

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Review: Linear form, Quadratic form & Bilinear form

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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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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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Find the number of digits in a number? (118^118)

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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Texas Tech: 5 ways trig Differentiate g(x)=cos^2(x)

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Variability or spread of a distribution. Whey we need it!

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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median

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CMU: Find these integrals (a)-(b)

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UC Davis: differentiate y=(3x+1)^2

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Iowa State U [Fall 2019]: integral Find the integral

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2nd way: ∫ 3/x^5 √((x^4+1)/x^4) dx

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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