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Provide an Appropriate Response r=4tanθ,0θ2πr = 4 \tan \theta , 0 \leq \theta \leq 2 \pi

Question 167

Essay

Provide an appropriate response.
-Find any horizontal or vertical asymptotes for the curve r=4tanθ,0θ2πr = 4 \tan \theta , 0 \leq \theta \leq 2 \pi . (Suggestion: Express the curve in parametric form (x=rcosθ,y=rsinθ)( \mathrm { x } = \mathrm { r } \cos \theta , \mathrm { y } = \mathrm { r } \sin \theta ) and investigate what happens to x\mathrm { x } and y\mathrm { y } as θ\theta varies.)

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