8Screen Recording 2023-12-07 at 1.55.57 AM

prob stat: One sample of n=4 scores has a mean of M=10, &

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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lim x/e^x? as x→∞

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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What would the value of SS be for his set of scores [118,118,118,118,118,118]?

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...

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example: Mean, Median & Mode

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Find the number of permutations of the letters of the word ALLAHABAD

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pretend: to pretend

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Evaluate these 7 integrals ...

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

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Given events J & K:

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prob stat It is known that P(X)=1/2 & P(Y)=1/4. Given that X & Y are mutually exclusive, find

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