1. I A particle moving along a curve in the xy-plane has position (x(). JU), at time r>0, where At time 1= 3, the particle is at the point (5. 4). (a) Find the speed of the particle at time t= 3. Please respond on separate paper, following directions from your teacher. (b) Write an equation for the line tangent to the path of the particle at time 1 = 3. Please respond on separate paper, following đirections from your teacher. (e) Is there a time t at which the particle is farthest to the right? If yes, explain why and give the value of t and the r-coordinate of the position of the particle at that time. If no, explain why not. Please respond on separate paper, following directions from your teacher. (d) Describe the behavior of the path of the particle as t increases without bound. Please respond on separate paper, following đirections from your teacher.

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Chapter1: Units, Trigonometry. And Vectors
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Please help on a b c d with explanations. Thank you so much

1. I A particle moving along a curve in the xy-plane has position (x(1), ()), at time 1> 0, where
:- (:-)" and - te*.
At time 1 = 3, the particle is at the point (5, 4).
(a) Find the speed of the particle at time 1 = 3.
Please respond on separate paper, following directions from your teacher.
(b) Write an equation for the line tangent to the path of the particle at time t = 3.
Please respond on separate paper, following đirections from your teacher.
(c) Is there a time t at which the particle is farthest to the right? If yes, explain why and give the value
of t and the x-coordinate of the position of the particle at that time. If no, explain why not.
Please respond on separate paper, following directions from your teacher.
(d) Describe the behavior of the path of the particle as t increases without bound.
Please respond on separate paper, following directions from your teacher.
Transcribed Image Text:1. I A particle moving along a curve in the xy-plane has position (x(1), ()), at time 1> 0, where :- (:-)" and - te*. At time 1 = 3, the particle is at the point (5, 4). (a) Find the speed of the particle at time 1 = 3. Please respond on separate paper, following directions from your teacher. (b) Write an equation for the line tangent to the path of the particle at time t = 3. Please respond on separate paper, following đirections from your teacher. (c) Is there a time t at which the particle is farthest to the right? If yes, explain why and give the value of t and the x-coordinate of the position of the particle at that time. If no, explain why not. Please respond on separate paper, following directions from your teacher. (d) Describe the behavior of the path of the particle as t increases without bound. Please respond on separate paper, following directions from your teacher.
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