Differential Equations
4th Edition
ISBN: 9780495561989
Author: Paul Blanchard, Robert L. Devaney, Glen R. Hall
Publisher: Cengage Learning
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(2) (22 points) Let F(x, y, z) = (x sin y, cos y, ―xy).
(a) (2 points) Calculate V. F.
(b) (6 points) Given a vector field
is everywhere defined with V
G₁(x, y, z) = *
G2(x, y, z) = −
G3(x, y, z) = 0.
0
0
F(x, y, z) = (F₁(x, y, z), F₂(x, y, z), F(x, y, z)) that
F = 0, let G = (G1, G2, G3) where
F₂(x,
y,
y, t) dt
- √ F³(x, t, 0) dt,
*
F1(x,
y, t) dt,
t) dt - √ F
Calculate G for the vector field F(x, y, z) = (x sin y, cos y, -xy).
5) Solve the triangle.
2
95°
4
B
с
A) c=3.63, A=59.5°, B = 25.5°
C) c = 4.63, A = 59.5°, B = 25.5°
A
B) c 4.63, A 25.5°, B = 59.5°
=
=
D) c 5.63, A = 25.5°, B = 59.5°
Find zw. Leave your answer in polar form.
= လ
3π
2
z = 6 cos
6 cos 37
3π
+ i sin
2
57
W = 12 cos
+ i sin
6
6
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