Assume C is a circle centered at the origin, oriented counter clockwise, that encloses disk R in the plane. Complete the following steps for each vector field F. a. Calculate the two-dimensional curl of F . b. Calculate the two-dimensional divergence of F. C. Is F irrotational on R ? d. Is F source free on R ? 13. F = 〈 4 x 2 y , x y 2 + x 4 〉
Assume C is a circle centered at the origin, oriented counter clockwise, that encloses disk R in the plane. Complete the following steps for each vector field F. a. Calculate the two-dimensional curl of F . b. Calculate the two-dimensional divergence of F. C. Is F irrotational on R ? d. Is F source free on R ? 13. F = 〈 4 x 2 y , x y 2 + x 4 〉
Solution Summary: The author calculates the two dimensional curl of the vector field F=langle x,yrangle with f(x.y)=4x3y and
Assume C is a circle centered at the origin, oriented counter clockwise, that encloses disk R in the plane. Complete the following steps for each vector field F.
a. Calculate the two-dimensional curl of F.
b. Calculate the two-dimensional divergence of F.
C. Is F irrotational on R?
d. Is F source free on R?
13. F =
〈
4
x
2
y
,
x
y
2
+
x
4
〉
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Only 100% sure experts solve it correct complete solutions ok
rmine the immediate settlement for points A and B shown in
figure below knowing that Aq,-200kN/m², E-20000kN/m², u=0.5, Depth
of foundation (DF-0), thickness of layer below footing (H)=20m.
4m
B
2m
2m
A
2m
+
2m
4m
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
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