2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem

A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.

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trig integral ∫sec(x) dx =

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Screen Recording 2024-02-02 at 1.54.05 AM

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derivative log f(g(x)) (a)

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"baby" fact: exp e^(ix)

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prob stat: x̄=∑xk where k=1,2,3,...,n?

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Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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Median [special weighted mean]

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prob stat: A group consists of 4 girls & 7 boys. In how many ways can a team of 5 members ...

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#8 2014 MIT Integration Bee Qualifying Exam

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matrix example: How to select the column you want ...

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example Find 1+2+3+...+n via Pick's Theorem

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NUS MA1102R: For f(x,y) = e^(xy) + x/y, compute fx & fy

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#2 2012 MIT Integration Bee Qualifying Exam

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Growing patterns #3

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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number

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