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

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

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

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

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

speed ≈___________

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Expert Solution

milcah answered 1 year ago

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