Math 53: Multivariable Calculus Worksheets

Problems 1. Consider the curve parametrized by x(θ) = acosθ, y(θ) = bsinθ. (a) Plot some points and sketch the curve when a= 1 and b= 1, when a= 2 and b= 1, and when a= 1 and b= 2. (b) Eliminate the parameter θto obtain a single equation in x, y, and the constants aand b. What curve does this equation describe? (Hint: Eliminate θusing the ................
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