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Lamar U: Derivatives of Exponential & Log Functions Practice Problems.

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Find the expected value & the variance of a geometric r.v. X
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Find the expected value & the variance of a geometric r.v. X

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The principal value of arc tan(tan(3π/5)

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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.
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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

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Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane
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Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane

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exp integral ∫x^2 e^(-2) dx
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exp integral ∫x^2 e^(-2) dx

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3 ways: derivative e^y=x
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