Question
Find the angle between the curves$2 y^{2}=x^{3}$ and $y^{2}=32 x$.
Step 1
Setting $2y^{2}=x^{3}$ and $y^{2}=32x$ equal to each other, we get $2y^{2}=32x$. Solving this equation, we get $x=0$ and $y=0$ or $x=8$ and $y=\pm 16$. So, the points of intersection are $(0,0)$ and $(8,16)$, $(8,-16)$. Show more…
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