trig derivative differentiate x^sin(x) + (sin(x))^cos(x)

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

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lim x/e^x? as x→∞

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

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2nd way: integral ∫ log √x(x^n) dx

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

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prob stat: x̄=∑xk where k=1,2,3,...,n?

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example: Mean, Median & Mode

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Compute the arithmetic mean for the following grouped data ...

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Given events J & K:

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integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx

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prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?

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Find the mean of the data given in the freq. distribution below ...

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Screen Recording 2024-05-19 at 11.13.23 PM

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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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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Express the sum of the digits of the number (1000^20 - 20) in decimal notation

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Screen Recording 2024-05-18 at 12.32.05 AM

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Screen Recording 2024-05-11 at 8.58.53 PM

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NYU: compute integral ∫√(1+ √x) dx

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