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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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1st way: exp ∫(e^x)/x (1+x log(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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(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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Find the number of different 8 letter arrangements that can be made from the letters of the word ..
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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx
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NONelementary integral ∫e^(ax)/x dx
2nd/2ways: [k map] logic Simplify the Boolean function F=AB+BC+B'C
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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
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2010 #2 MIT Integration Bee
The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.
Jingle Bells 🎄 | 2025 Classic Christmas Songs for Kids to Sing Along! Snowy Christmas Songsا
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Example: Find the sum
A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R
alternate way: count sum 1+3+5+ ... +(2n-1)
derivative (f(x)/g(x))^h(x)
1st/2parts: Linear interpolation (2 given points)