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Let r(t) = (2+³/², cos(2t), sin(2t)). (a) Find the displacement from t = 0 to t = π (Hint: the magnitude of this vector is about 11.14) (b) Find the distance traveled (arc length) from t = almost 13) 0 to t = π (Hint: should get

Let r(t) = (2+³/², cos(2t), sin(2t)). (a) Find the displacement from t = 0 to t = π (Hint: the magnitude of this vector is about 11.14) (b) Find the distance traveled (arc length) from t = almost 13) 0 to t = π (Hint: should get

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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Let \(\vec{r}(t) = \langle 2t^{3/2}, \cos(2t), \sin(2t) \rangle\). (a) Find the displacement from \(t = 0\) to \(t = \pi\) (Hint: the magnitude of this vector is about 11.14). (b) Find the distance traveled (arc length) from \(t = 0\) to \(t = \pi\) (Hint: should get almost 13).
Transcribed Image Text:Let \(\vec{r}(t) = \langle 2t^{3/2}, \cos(2t), \sin(2t) \rangle\). (a) Find the displacement from \(t = 0\) to \(t = \pi\) (Hint: the magnitude of this vector is about 11.14). (b) Find the distance traveled (arc length) from \(t = 0\) to \(t = \pi\) (Hint: should get almost 13).
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