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2024 MIT Integration Bee Final
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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Swinburne U 2nd way: e^(-e^x) e^x dx
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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
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Pantun Melayu [Sorong papan tarik papan]
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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.
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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?
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Bijection of elements in tn & a pair of elements of (n+1)
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prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point
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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed
Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.
prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.
Screen Recording 2024-02-16 at 9.14.39 PM
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AP Calculus: integral ∫ln(a+bx^2) dx
1st/2 way: Expand e^sin(x) by Maclaurin's Theorem
1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx
Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub
AP Calculus 2nd way trig ∫sin^3(x)/(cos(x)-1) dx
#22 2019 MIT Integration Bee Final