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
Section: Chapter Questions
Problem 1RQ
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
Please complete all parts a, b, and c
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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