Determine the coefficient of x3 in the binomial expansion of (2 + x)5.
v = f(x, y, z) is a real valued function of 3 variables.
Express the partial derivative of v with respect to z in standard mathematical notation.
Define the partial derivative of f(x, y) with respect to x.
Determine which of the following is the Maclaurin expansion (up to the second order term) of: e2x
Identify the condition that fully describes the existence of independence between two events A and B.
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