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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Message
[e^(7*t)]*i+5*cos(8*t)*j+5*sqrt(8*t)*k
e7ti + 5 cos(8t) j+5/8tk
incorrect
The domain of your function doesn't match that of the correct answer
49*[e^(7*t)]*i-320*sin(8*t)*j-320*sin(8*t)*k
49ei – 320 sin(8t) j – 320 sin(8t) k
incorrect
40.6
40.6
correct
The first coordinate is incorrect
7i+40k
7i + 40k
incorrect
The third coordinate is incorrect
The equation F(t)
(e7t) i + (5 cos(8t)) j+ (5 sin(8t)) k gives the position of a particle in space at time t. Find the particle's velocity and acceleration vectors at time
t. Then find the particle's speed and direction at time t = 0.
v(t)
= (e^(7t))i+(5cos(8t)j)+(5sqrt(E E
a(t) = (49e^(7t))i-(320sin(8t))j-320:
Speed at time t = 0 is 40.6
Direction at time t = 0 is 7i+40k](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64d090b5-9aa7-4013-b2cb-ea5dc7d5ba51%2F59d04b3a-55b8-4150-bc6f-da53d52eac52%2Fep9moca_processed.png&w=3840&q=75)
Transcribed Image Text:Entered
Answer Preview
Result
Message
[e^(7*t)]*i+5*cos(8*t)*j+5*sqrt(8*t)*k
e7ti + 5 cos(8t) j+5/8tk
incorrect
The domain of your function doesn't match that of the correct answer
49*[e^(7*t)]*i-320*sin(8*t)*j-320*sin(8*t)*k
49ei – 320 sin(8t) j – 320 sin(8t) k
incorrect
40.6
40.6
correct
The first coordinate is incorrect
7i+40k
7i + 40k
incorrect
The third coordinate is incorrect
The equation F(t)
(e7t) i + (5 cos(8t)) j+ (5 sin(8t)) k gives the position of a particle in space at time t. Find the particle's velocity and acceleration vectors at time
t. Then find the particle's speed and direction at time t = 0.
v(t)
= (e^(7t))i+(5cos(8t)j)+(5sqrt(E E
a(t) = (49e^(7t))i-(320sin(8t))j-320:
Speed at time t = 0 is 40.6
Direction at time t = 0 is 7i+40k
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