A moving particle that has the position function r(t) = (-t+sin(t), 1 - cos(t)) where r(t) is given in meters, and t is in seconds. How far has the particle moved during the first 9 second period? Show all your work. Show all your work, and leave your final answer in exact expression with a correct unit. Make sure to simplified all numerical parts. Double angle formulas: cos (20) = cos² 0 - sin² 0 = 1 - 2 sin² 0 = 2 cos² 0 - 1

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...
Question
A moving particle that has the position function r(t) = (−t + sin(t), 1 − cos(t)) where r(t) is given
in meters, and t is in seconds. How far has the particle moved during the first 9 second period?
Show all your work. Show all your work, and leave your final answer in exact expression with a
correct unit. Make sure to simplified all numerical parts.
Double angle formulas: cos (20) = cos²0 — sin² 0 = 1 - 2 sin² 0 = 2 cos² 0 - 1
Transcribed Image Text:A moving particle that has the position function r(t) = (−t + sin(t), 1 − cos(t)) where r(t) is given in meters, and t is in seconds. How far has the particle moved during the first 9 second period? Show all your work. Show all your work, and leave your final answer in exact expression with a correct unit. Make sure to simplified all numerical parts. Double angle formulas: cos (20) = cos²0 — sin² 0 = 1 - 2 sin² 0 = 2 cos² 0 - 1
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