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  3. (a) on a separate sheet of paper, sketch the param

(a) On a separate sheet of paper, sketch the parameterized curve x=tcost, y=tsint for 0≤t≤4π. Use your graph...

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Basic Math

(a)On a separate sheet of paper, sketch the parameterized curvex=tcost,y=tsint for 0≤t≤4π. Use your graph tocomplete the following statement:


At t=6t=6, a particle moving along the curve in thedirection of increasing t is moving _________ and _____________

(b) By calculating the position at t=6 andt=6.01, estimate the speed at t=6.
speed ≈___________

(c) Use derivatives to calculate the speed att=6 and compare your answer to part (b).

speed ≈___________

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