College Algebra

7th Edition

ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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I submitted this same question twice because I am looking for more detail in the solution, especially with part b. Can you help? Thank you.

Transcribed Image Text:Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t²5t + 7 for all times t. A second particle, Q, moves along the x axis so that its sin(at) position at time t is given by x(t) for all times t # 2. 2-t = a. Find lim x(t). Show the work that leads to your answer. t→2 b. Show that the velocity of particle Q is given by vo(t) = 2π сos(лt)-лt cos(πt)+sin(πt) (2-t)² for all times t # 2. c. Use calculus and algebra to find a value of t such that P and Q reach the same velocity. Show the work that leads to your answer. State the velocity.

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