Screen Recording 2024-03-03 at 12.00.11 AM

Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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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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Do you know ... in tagalog?

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prpob stat A bag contains 5 black balls 6 red balls. Determine the number of ways in which ...

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

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

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Pantun Melayu [Buah cempedak di luar pagar]

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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2nd/2ways: count perm Show P(n,2)+P(n,1)=n^2

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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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UC Davis #8: integral cos(5x)/(3+sin(5x)) dx

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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2 ways: derivative log3(x)

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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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Screen Recording 2023-12-06 at 3.09.43 AM

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1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]

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2 ways: integral ∫ (4t+7) dt

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Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx

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Screen Recording 2023-12-07 at 2.09.05 AM

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