1. If t is the degree measure of the angle LOK, is t an acute angle? 2. By setting x= cost t, y=sin t, defind parametric curve C and Is C coincide with the unit circle? 3. Write the position vector r(t). r(t) can be the position vector corresponding with any point K on L. 4. what is the velocity of a particle moving along C? 5. Is the position vector a constant magnitude?
1. If t is the degree measure of the angle LOK, is t an acute angle? 2. By setting x= cost t, y=sin t, defind parametric curve C and Is C coincide with the unit circle? 3. Write the position vector r(t). r(t) can be the position vector corresponding with any point K on L. 4. what is the velocity of a particle moving along C? 5. Is the position vector a constant magnitude?
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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Question
Given the unit circle, x^2 +y^2=1. Sketch the unit circle and pick a point K(a,b) on the unit circle (a,b must be greater than 0). Draw a line from the origin O to K and draw the right triangle with hypotenus OK and vertices at O, K, L (a, 0)
1. If t is the degree measure of the angle LOK, is t an acute angle?
2. By setting x= cost t, y=sin t, defind parametric curve C and Is C coincide with the unit circle?
3. Write the position
4. what is the velocity of a particle moving along C?
5. Is the position vector a constant magnitude?
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