Please complete all parts a, b, and c

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please complete all parts a, b, and c

FRQ 4
No calculator is allowed for the following problem.
For 0 st< 27, a particle is moving along the x-axis. The position of the particle is given by
t
x(t) = eż cos (). The velocity of the particle is given by v(t) =
;e° (cos () – sin ().
COS
a) Find the time t at which the particle is farthest to the left. Justify your answer.
b) Is the speed of the particle increasing or decreasing at timet = n? Justify your answer.
c) The total distance traveled by the particle can be expressed as v(t) dt – S" v(t) dt. What is the
value of k? Justify your answer.
k
Transcribed Image Text:FRQ 4 No calculator is allowed for the following problem. For 0 st< 27, a particle is moving along the x-axis. The position of the particle is given by t x(t) = eż cos (). The velocity of the particle is given by v(t) = ;e° (cos () – sin (). COS a) Find the time t at which the particle is farthest to the left. Justify your answer. b) Is the speed of the particle increasing or decreasing at timet = n? Justify your answer. c) The total distance traveled by the particle can be expressed as v(t) dt – S" v(t) dt. What is the value of k? Justify your answer. k
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