Determine the speed as a function of time t for a particle having position function r(t) (t, 10t2, tª) in 3-space. 1. speed V1+400t² + 16t6

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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Determine the speed as a function of time t
for a particle having position function
r(t)
(t, 10£², tª)
=
in 3-space.
1. speed
= V1+400t2 + 16t6
Transcribed Image Text:Determine the speed as a function of time t for a particle having position function r(t) (t, 10£², tª) = in 3-space. 1. speed = V1+400t2 + 16t6
2. speed
/t² + 100t4 + t8
3. speed
V1+ 400t + 16t3
4. speed
V1+ 20t + 4t3
5. speed
= V1+400t2 + 16t4
Transcribed Image Text:2. speed /t² + 100t4 + t8 3. speed V1+ 400t + 16t3 4. speed V1+ 20t + 4t3 5. speed = V1+400t2 + 16t4
Expert Solution
Step 1

We have 

r(t) = <t,10t2, t4

Speed = ||r'(t)|| 

 

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