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Let F(t)= sin ti + cos tj + k. Find F'(t).  Show that F'(t) is always parallel to the xy-plane.  For what values of t is F'(t) parallel to the xz-plane? Does F(t) have a constant magnitude? Does F'(t) have a constant magnitude? Please answer #2-5. I already found #1.

Let F(t)= sin ti + cos tj + k. Find F'(t).  Show that F'(t) is always parallel to the xy-plane.  For what values of t is F'(t) parallel to the xz-plane? Does F(t) have a constant magnitude? Does F'(t) have a constant magnitude? Please answer #2-5. I already found #1.

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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Let F(t)= sin ti + cos tj + k.

  1. Find F'(t). 
  2. Show that F'(t) is always parallel to the xy-plane. 
  3. For what values of t is F'(t) parallel to the xz-plane?
  4. Does F(t) have a constant magnitude?
  5. Does F'(t) have a constant magnitude?

Please answer #2-5. I already found #1.

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