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Review: Multiplying each obs. by a CONSTANT results in new variance =
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Bijection of elements in tn & a pair of elements of (n+1)
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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logic Idempotent law show x=xVx
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Review: Linear form, Quadratic form & Bilinear form
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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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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.
2010 #2 MIT Integration Bee
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NONelementary integral ∫e^(ax)/x dx
sum picture proof show 1^2+2^2+3^2+...+n^n=1/3 1/2n(1+n) (2n+1)
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NYU: 3 ways ∫(1+ln(x))/x dx
Fill in each blank using either mean or median.
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2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3
trig integral ∫x^2 cos(x^3) e^sin(x^3) dx
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MPPET 1993 BIT Ranchi 1982 Hindusta: trig integral ∫ (1+cos^2(x)/sin^2(x) dx
prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:
prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.
A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R