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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=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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