Answer to Question #97941 in Calculus for Rachel

Answer to Question #97941 in Calculus for Rachel

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Question #97941

Sketch each of the following parameterized curves.(a) g(t) =[cos(t2), sin(t2)],0≤t≤π ;(b) g(t) =[cosh(t), sinh(t)],−2≤t≤2 ;(c) g(t) =[2−3t, 5t+ 4],0≤t≤1

Expert’s answer

Notice that for all and Then the image of under is indeed the whole unit circle We’ll notice that for all So the needed sketch is just a part of the hyperbola with endpoints at Both coordinates depend linearly on so the needed sketch will be a line segment with endpoints at and

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