Levels Tought:
Elementary,Middle School,High School,College,University,PHD
Teaching Since: | Apr 2017 |
Last Sign in: | 234 Weeks Ago, 5 Days Ago |
Questions Answered: | 12843 |
Tutorials Posted: | 12834 |
MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
Question 1
i). Verify Green’s theorem for the indicated Region D with boundary 6D and functions P,Q:
1r 7r
13— [0:5] X [015]
P (M!) = sin($) Q($, y) = C03(y) ii). Use Green’s theorem to find the area of one loop of the four leafed rose 7' : 3sin(29). As a hint,
mdy — ydx = 1'2 d9.
Question 2 1). Evaluate the surface integral f [S F - n dA where F(a:, y, z) : i+ j + z($2 + y2)2k. Also, S is the surface
of the cylinder 3:2 + y2 s 1,0 g z 3 1. ii). Let the velocity field of a fluid be described by F : fl - 1 (m/s). Compute the number of cubic meters
of fluid per second that cross the surface :52 + 2:2 = 1, 0 g y g 1, 0 g a: 5 1
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