For a positive constant a and t 0, the parametric equationsI-V represent the curves

Chapter 17, Problem 72

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For a positive constant a and t 0, the parametric equationsI-V represent the curves described in (a)-(e). Matcheach description (a)-(e) with its parametric equations andwrite an equation involving only x and y for the curve.(a) Line through the origin.(b) Line not through the origin.(c) Hyperbola opening along x-axis.(d) Circle traversed clockwise.(e) Circle traversed counterclockwise.I. x = a sin t, y = a cos t II. x = a sin t, y = a sin tIII. x = a cos t, y = a sin t IV. x = a cos2 t, y = a sin2 tV. x = a/ cos t, y = a tan t

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