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* 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)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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