Screen Recording 2024-05-10 at 5.44.02 PM

STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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Review: Linear form, Quadratic form & Bilinear form

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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2nd way: ∫2x/(x+5)^6 dx vs ∫2x (x+5)^6 dx

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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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Which of the following statements are true, & why?

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

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Find r, if 5 4Pr = 6 5(r-1)

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Simplify the following statements using only the connectives ∧, ∨ and ¬

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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

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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)

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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx

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2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2

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#18 2010 MIT Integration Bee Qualifying Exam

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