In Exercises 35 and 36, determine how the plane curves differ from each other. 36. (a) x

Chapter 10, Problem 36

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Comparing Plane Curves   In Exercises 35 and 36, determine how the plane curves differ from each other.

(a) \(x=2 \sqrt{t}\)                                                              (b) \(x=2 \sqrt[3]{t}\)

     \(y=4-\sqrt{t}\)                                                                    \(y=4-\sqrt[3]{t}\)

(c)               x = 2(t + 1)                                                   (d) \(x=-2 t^{2}\)

      y = 3 − t                                                                          \(y=4+t^{2}\)

Text Transcription:

x=2 sqrt t

x=2 3sqrt t

y=4-sqrt t

y=4 3sqrt t

x=-2 t^2

y=4+t^2

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