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. Particle P moves along the y-axis so that its position at time t is given byy(t) = 4t²5t + 7 for all times t. A second particle, Q, moves along the x axis so that itssin(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→2b. Show that the velocity of particle Q is given by vo(t)=2π сos(лt)-лt cos(πt)+sin(πt)(2-t)²for alltimes 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.

Answered: Image /qna-images/answer/beacffbd-c5ed-421a-b962-6af93fca8ab7.jpg

Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t² - 5t + 7 for all times t. A second particle, Q, moves along the x axis so that its position at time t is given by x(t): sin(at) 2-t for all times t # 2. = 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) = 2n cos(nt)—rt cos(at)+sin(zt) (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.

Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t² - 5t + 7 for all times t. A second particle, Q, moves along the x axis so that its position at time t is given by x(t): sin(at) 2-t for all times t # 2. = 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) = 2n cos(nt)—rt cos(at)+sin(zt) (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.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 2E

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