Match each of the following six functions with the path in Figure 1 that it parametrizes.(...

Match each of the following six functions with the path in Figure 1 that it parametrizes.

(a)

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(b) c(t) = (3 sin t + 1)i + (cos t − 1)j

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(c)

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(d) a(t) = cos 3ti + sin 2tj

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(e) d(t) = t(t − 1)i + t(t − 1)(t − 2)j

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(f)

Figure 1