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Math 213-001 201130 Assignment # 4 -Sample answers
 

Summary: Math 213-001 201130
Assignment # 4 - Sample answers
1. Find the indicated partial derivatives:
(a) f(x, y) = sin(2x + 3y), fy(-6, 4).
Answer. fy(x, y) = 3 cos(2x+3y); fy(-6, 4) = 3 cos(-12+12) =
3 cos 0 = 3.
(b) f(u, v) = u cos(uv), fv(1, 1).
Answer. fv(u, v) = -u2
sin(uv); fv(1, 1) = - sin(1).
2. Verify that uxy = uyx:
(a) u(x, y) = x2
y2
- 2x3
y5
.
Answer.
ux(x, y) = 2xy2
- 6x2
y5
;

  

Source: Argerami, Martin - Department of Mathematics and Statistics, University of Regina

 

Collections: Mathematics