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OSU Math 1151 Practice1: Compute the derivative (1)-(8)
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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logic Idempotent law show x=xVx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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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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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.
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2 ways: diff eq Solve dy/dx-x^2=0
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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100
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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number
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2 ways: Derivative √ (1+√ (1+√ x)))
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Express the sum of the digits of the number (1000^20 - 20) in decimal notation
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Alternate way: Derivative y=ln((x^4-8)^5/(x^6+5x)cos(x))
Evaluate these 7 integrals ...
trig integral ∫sin^2(x)/cos^6(x)) dx
AP Calculus 2nd way: integral ∫(1-√x)/(1+√x) dx
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