In advanced mathematics (pitkä matematiikka), what is the distance from the point $P (1, 2, 3)$ to the plane $2 x - 2 y + z - 7 = 0$ ?

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In advanced mathematics (pitkä matematiikka), what is the limit $lim_{x \to 0} \frac{s i n ( 3 x )}{2 x}$ ?
In advanced mathematics (pitkä matematiikka), what is the derivative of $f (x) = e^{2 x} cos x$ ?
In advanced mathematics (pitkä matematiikka), what is the value of the definite integral $\int_{0}^{1} (3 x^{2} + 2 x - 1) d x$ ?
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