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4. Describe in words the curve in R³ given by the equation r(t) = (3 + 4 sint, -2 +4 cost, t), 0≤t≤ 2n? (You'll plot it in problem 5.) (Hint: The x- and y-components are the same as in problem 3. What is happening to the z-component?) The name of such a curve is helix.

4. Describe in words the curve in R³ given by the equation r(t) = (3 + 4 sint, -2 +4 cost, t), 0≤t≤ 2n? (You'll plot it in problem 5.) (Hint: The x- and y-components are the same as in problem 3. What is happening to the z-component?) The name of such a curve is helix.

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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4. Describe in words the curve in R³ given by the equation r(t) = (3 + 4 sint, -2 + 4 cost, t), 0≤t≤ 2π? (You'll plot it in problem 5.) (Hint: The x- and y-components are the same as in problem 3. What is happening to the z-component?) The name of such a curve is helix.
Transcribed Image Text:4. Describe in words the curve in R³ given by the equation r(t) = (3 + 4 sint, -2 + 4 cost, t), 0≤t≤ 2π? (You'll plot it in problem 5.) (Hint: The x- and y-components are the same as in problem 3. What is happening to the z-component?) The name of such a curve is helix.
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