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7. A particle moves along the x-axis with its velocity modeled by the function (t)= 3cost + 3t. The particle's position time t 0 seconds is 5 units to the left of the origin. Where is the particle at time t = 6? 26-2)²-(-2)²-66-2) + c = 4 312,

7. A particle moves along the x-axis with its velocity modeled by the function (t)= 3cost + 3t. The particle's position time t 0 seconds is 5 units to the left of the origin. Where is the particle at time t = 6? 26-2)²-(-2)²-66-2) + c = 4 312,

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Problem 17 A particle moves along the x-axis with its velocity modeled by the function \( v(t) = 3\cos t + 3t \). The particle's position at time \( t = 0 \) seconds is 5 units to the left of the origin. Where is the particle at time \( t = 6 \) seconds? \[ 2(z)^2 - \frac{6}{5}(2)^2 - 6(-z) + c = 4 \]
Transcribed Image Text:### Problem 17 A particle moves along the x-axis with its velocity modeled by the function \( v(t) = 3\cos t + 3t \). The particle's position at time \( t = 0 \) seconds is 5 units to the left of the origin. Where is the particle at time \( t = 6 \) seconds? \[ 2(z)^2 - \frac{6}{5}(2)^2 - 6(-z) + c = 4 \]
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