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Particle P moves along the y-axis so that its position at time t is given by y (t) = 4t - for all times t. A second particle, particle Q, moves along the x-axis so that its position at time t is given by x (t) sin(at) = for all times t# 2. 2-t (a) As time t approaches 2, what is the limit of the position of particle Q? Show the work that leads to your answer. B I U X² X₂ Ć 22 (b) Show that the velocity of particle Q is given by vo (t) BIUX² X₂ C 22 E 111 M 2n cos(nt)-nt cos(at)+sin(at) (2-t)² for all times t 2. 0/10000 Word Lin 0/10000 W (c) Find the rate of change of the distance between particle P and particle Q at time t = Show the work that leads to your answer.

Particle P moves along the y-axis so that its position at time t is given by y (t) = 4t - for all times t. A second particle, particle Q, moves along the x-axis so that its position at time t is given by x (t) sin(at) = for all times t# 2. 2-t (a) As time t approaches 2, what is the limit of the position of particle Q? Show the work that leads to your answer. B I U X² X₂ Ć 22 (b) Show that the velocity of particle Q is given by vo (t) BIUX² X₂ C 22 E 111 M 2n cos(nt)-nt cos(at)+sin(at) (2-t)² for all times t 2. 0/10000 Word Lin 0/10000 W (c) Find the rate of change of the distance between particle P and particle Q at time t = Show the work that leads to your answer.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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Particle P moves along the y-axis so that its position at time t is given by y (t) = 4t - for all times t. A second particle, 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) As time t approaches 2, what is the limit of the position of particle Q? Show the work that leads to your answer. X2 0 BIU x²x₂ 5 C C Ω BIU X² X₂ = !!! 3 C 2 FNM (b) Show that the velocity of particle Q is given by vo (t) !!! ||| E = 123 ||| 2π cos(πt)-nt cos(nt)+sin(t) 12 (2-t)² 8 of 8 for all times t# 2. 0/10000 Word Lir 0/10000 W (c) Find the rate of change of the distance between particle P and particle at time t = 1. Show the work that leads to your answer.
Transcribed Image Text:Particle P moves along the y-axis so that its position at time t is given by y (t) = 4t - for all times t. A second particle, 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) As time t approaches 2, what is the limit of the position of particle Q? Show the work that leads to your answer. X2 0 BIU x²x₂ 5 C C Ω BIU X² X₂ = !!! 3 C 2 FNM (b) Show that the velocity of particle Q is given by vo (t) !!! ||| E = 123 ||| 2π cos(πt)-nt cos(nt)+sin(t) 12 (2-t)² 8 of 8 for all times t# 2. 0/10000 Word Lir 0/10000 W (c) Find the rate of change of the distance between particle P and particle at time t = 1. Show the work that leads to your answer.
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