For t > 0, a particle moves along the x-axis. The velocity of the particle at time t is given by v (t) = cos(). (a) At time t = 4, is the particle speeding up or slowing down? Why? (b) Find all times t in the interval 0 < t <3 when the particle changes direction. Justify your answer.
For t > 0, a particle moves along the x-axis. The velocity of the particle at time t is given by v (t) = cos(). (a) At time t = 4, is the particle speeding up or slowing down? Why? (b) Find all times t in the interval 0 < t <3 when the particle changes direction. Justify your answer.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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![Fort > 0, a particle moves along the x-axis. The velocity of the particle at time t is given by
v (t) = 1/cos ( ² ).
3
(a) At time t
4, is the particle speeding up or slowing down? Why?
(b) Find all times t in the interval 0 < t < 3 when the particle changes direction. Justify your answer.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7353de8a-3834-465a-af3b-558129de7e04%2F2e38d21a-d0eb-4b3a-a35f-bb75d5109d99%2F4g9rexf_processed.png&w=3840&q=75)
Transcribed Image Text:Fort > 0, a particle moves along the x-axis. The velocity of the particle at time t is given by
v (t) = 1/cos ( ² ).
3
(a) At time t
4, is the particle speeding up or slowing down? Why?
(b) Find all times t in the interval 0 < t < 3 when the particle changes direction. Justify your answer.
=
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