Consider the parametric equations for 0 t :(I) r = cos(2t)i + sin(2t)j(II) r = 2 cos ti
Chapter 17, Problem 32(choose chapter or problem)
Consider the parametric equations for 0 t :(I) r = cos(2t)i + sin(2t)j(II) r = 2 cos ti + 2 sin tj(III) r = cos(t/2)i + sin(t/2)j(IV) r = 2 cos ti 2 sin tj(a) Match the equations above with four of the curvesC1, C2, C3, C4, C5 and C6 in Figure 17.42. (Eachcurve is part of a circle.)(b) Give parametric equations for the curves which havenot been matched, again assuming 0 t .
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