UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

2nd way: integral ∫x/(2ax-x^2) dx

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

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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integral ∫ x dx withOUT using Power rule.

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Review: Linear form, Quadratic form & Bilinear form

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...

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Screen Recording 2024-05-05 at 11.28.23 PM

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exp Calculate ∫x^3 3^x dx via IBP

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Find the mean of the data given in the freq. distribution below ...

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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example: Mean, Median & Mode

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If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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Which of the following statements are true, & why?

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Screen Recording 2024-05-13 at 9.18.43 PM

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2010 Raytheon MATHCOUNTS National Competition

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