Provide an appropriate response.Find any horizontal or vertical asymptotes for the curve   (Suggestion: Express the curve in parametric form  and investigate what happens to x and y as ? varies.)

What will be an ideal response?


As ? ? 0+ or 2?-, x ? 0 and y ? 0. As ? ? -, x ? 4 and y ? +?. As ? ? +, x ? 4 and y ? -?. As ? ? -, x ? -4 and y ? -?. As ? ? +, x ?-4 and y ? +?. Thus the lines x = -4 and x = 4 are vertical asymptotes.

Mathematics

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A.  and 
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A.
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