Problems Problem 1. Give a parametrization (including range of t values) for each path below. Briefly explain how you generated each of your parametrizations. (a) A circle of radius 7 traversed 12 times per second in the clock-wise direction. (b) The line segment connecting (2, -1) to (-1,5). Give two such parametrizations, one in each direction. Compare this to the 'normal' equation (of the form y = mx+b) of the line that connects these two points.

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Problems Problem 1. Give a parametrization (including range of

t

values) for each path below. Briefly explain how you generated each of your parametrizations. (a) A circle of radius

π

traversed 12 times per second in the clock-wise direction. (b) The line segment connecting

(2, - 1)

to

(- 1, 5)

. Give two such parametrizations, one in each direction. Compare this to the 'normal' equation (of the form

y =

m x + b)

of the line that connects these two points.

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