Question
$7-18$ Find the length of the curve.$$y^{2}=4(x+4)^{3}, \quad 0 \leqslant x \leqslant 2, \quad y>0$$
Step 1
Step 1: Given the equation $y^{2}=4(x+4)^{3}$, we can rewrite it as $y=2(x+4)^{3/2}$ since $y>0$. Show more…
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$7-18$ Find the exact length of the curve. $$y^{2}=4(x+4)^{3}, \quad 0 \leqslant x \leqslant 2, \quad y>0$$
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$7-18$ Find the exact length of the curve. $$x=\frac{y^{4}}{8}+\frac{1}{4 y^{2}}, \quad 1 \leq y \leq 2$$
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