Screen Recording 2024-05-12 at 9.04.39 PM

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

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example: Mean, Median & Mode

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

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integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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Screen Recording 2024-05-18 at 10.21.39 PM

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Which of the following statements are true, & why?

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx

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2 ways: ∫1/(x^2+2x-3) dx

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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Evaluate these 9 integrals containing ...

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matrix example: How to select the ROW you want ...

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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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Evaluate these 7 integrals ...

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2nd way: integral ∫x/(2ax-x^2) dx

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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

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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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2024 #3 MIT Integration Bee Final Lightning Round

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