* Antidifferentiate to find r(t), then use the given data to determine constants. 5 7. r' (t) = (te-t²,- sin(2t), 1) with r(0) = (2,-,-3)
* Antidifferentiate to find r(t), then use the given data to determine constants. 5 7. r' (t) = (te-t²,- sin(2t), 1) with r(0) = (2,-,-3)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
Related questions
Question
For number 7
![a-b
ti
* r(t) = (-8t4 + 5/t, sec² , 3et - 2tln(t)) COMPUTE:
* Antidifferentiate to find r(t), then use the given data to determine constants.
5
7. r'(t) = (te-t²,- sin(2t), 1) with r(0) = (2-3)
*r(t) = (cos(3t), 1 - sin(3t), 3 sin(3t) + cos(3t))
π
8. For the space curve r, compute values at t =
4
a. Velocity v
b. Speed v
e. Tangential acceleration component at
for:
5. r' (t)
c. Acceleration a
6.
d. Curva
f. Normal acceleration compone](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbba43b9d-4f38-46de-9300-69343f4b07df%2F0d1f9850-c5b3-4595-9e0d-016e3388d42c%2Fzuk2dmh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a-b
ti
* r(t) = (-8t4 + 5/t, sec² , 3et - 2tln(t)) COMPUTE:
* Antidifferentiate to find r(t), then use the given data to determine constants.
5
7. r'(t) = (te-t²,- sin(2t), 1) with r(0) = (2-3)
*r(t) = (cos(3t), 1 - sin(3t), 3 sin(3t) + cos(3t))
π
8. For the space curve r, compute values at t =
4
a. Velocity v
b. Speed v
e. Tangential acceleration component at
for:
5. r' (t)
c. Acceleration a
6.
d. Curva
f. Normal acceleration compone
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