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Q: Vector analysis
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Locate the centroid of the plane areas shown:
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- ThanksDetermine the indices for the crystallographic directions shown for B and C only in the following cubic unit cell. Show your solution by trying to construct a table the same as in the solved examples in our class. 113 1/3 1/2 B.Evaluate [ F i nds (i.e., find the flux of F across S) where F(x, y, z)= and S is the у, hemisphere x +y² +z? = 4, z >0 oriented in the direction of the positive z-axis (upward).
- Find the electric field vector at the point (0cm,5cm).Can you can explain the proof of "the equation of continuity", in an easy-to-understand manner? Attached images are the proof my professor gave. I really do not understand all the simple v's , capital v's and all? Can you kindly explain it in an easy-to-understand manner? Thank you!Calculate the flux of the given vector field by evaluating the line integral directly alongthe given curve for the below parts:(a) The vector field is ⃗ F = (x − y)⃗i + x⃗j. The curve is the circle x^2 + y^2 = 1in the xy-plane. Use the parameterization x = cos t and y = sin t.(b) The vector field is ⃗ F = (x − 1)⃗i + y⃗j. The curve is a circle of radius 3centered at (1, 1). The parametric form of this circle is⃗r = (1 + 3 cos t)⃗i + (1 + 3 sin t)⃗j, 0 ≤ t ≤ 2π(c) The vector field is ⃗F = x⃗i + y⃗j. The curve is the line segment from thepoint (0, 1) to the point (1, 3).
- A webassign.net/web/Student/Assignment-Responses/submit?dep=263123668tags=autosave#question4036946 0 M Gmail Maps YouTube Translate O Microsoft Office Ho... Check You: Paper f. Solve inequalities w. They can click and drag the black point at the outer end of the brown line to various points in the xy plane and see how its Cartesian and polar coordinates change in the readouts at the bottom. Note that 0 is defined as the angle measured in a direction counterclockwise from the positive x-axis. y (m) x (m) y =|-2,50| m -3.50 | m sin e- -0.58 4.30 m cos e = -0.81 216 degrees tan e- 0.71 Click bere to onen the simulation in a new window hpGive an example to show that a factor ring of an integral domain may be a field.I got sqrt(g/4) as my omega from part d. However, I don't how to proceed from there to answer part e,f and g