Solved: Area of a region in a plane Let R be a region in a
Chapter 14, Problem 40(choose chapter or problem)
Area of a region in a plane Let R be a region in a plane that has a unit normal vector n = 8a, b, c9 and boundary C. Let F = 8bz, cx, ay9. a. Show that _ * F = n. b. Use Stokes Theorem to show that area of R = C C F # dr. c. Consider the curve C given by r = 85 sin t, 13 cos t, 12 sin t9, for 0 t 2p. Prove that C lies in a plane by showing that r : r_ is constant for all t. d. Use part (b) to find the area of the region enclosed by C in part (c). (Hint: Find the unit normal vector that is consistent with the orientation of C.)
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer