If $y = (x + 2) (x^{2} + 3)$ , find $\frac{d y}{d x}$ when $x = 1$ .

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A box contains 7 red and 6 blue balls. Two balls are taken at random without replacement. Find the probability that they are of different co…
A straight line passes through $(- 2, 5)$ and $(1, 8)$ . Find the value of $y$ when $x = 9$ .
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If $α$ and $β$ are the roots of $x^{2} + 11 x + 30 = 0$ , find $α^{2} + β^{2}$ .
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Evaluate $lo g_{2} 32 + lo g_{2} 8 - lo g_{2} 4$ .