3. Parametric Curves (7 marks total) (a) (3 marks) Explain in your own words the similarities...

3. Parametric Curves (7 marks total) (a) Explain in your own words the similarities and differences between the following two parametric curves. i. x = t 2 , y = t 4 ii. x = cost, y = cos2t (b) . Consider the curve defined parametrically by x = at2 + bt and y = ct3 + dt2 + et, where a, b, c, d, e are all constants. Give one example of what each of the constants a, b, c, d, e could equal so that your curve has exactly one vertical tangent line and no horizontal tangent lines. Show all of your work! Hint: start by finding a formula for dy dx !

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Colby Messinger answered 10 months ago

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