How many distinct 4-digit numbers can be formed using the digits ${1, 2, 3, 4, 5}$ without repetition?

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In the binomial expansion of $(x + \frac{1}{x})^{10}$ , what is the term independent of $x$ ?
For $y = ln (\frac{1}{c o s x} + tan x)$ , determine the first derivative $\frac{d y}{d x}$ with respect to $x$ for all $x$ in…
If $z = 1 + i 3$ , what is the polar trigonometric form of $z$ ?
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Find the slope of the tangent to the curve $x^{2} + y^{2} - 4 x + 6 y = 0$ at the origin $(0, 0)$ .