Verify the divergence theorem for the function A = r²a, + r sin 0 cos > a, over the surface of a quarter of a hemisphere defined by 0 < r < 3, 0 < & < π/2, 0 < 0 < π/2.

I need help with this problem and an explanation of the solution for the image described below. (Introduction to Signals and Systems)

question below has been rejected as not in correct form.  This is cut and paste from my homework so I don't know how else to resubmit in mathematical form? please help me solve questions b through d.  I did (a) fine. I have dont know the most efficient way to solve the rest. see attached

Please help me

Please help me with B C AND E

Please convert these values into time domain forms, not the rectangular coordinates, ie v(t) =  Acos(wt + theta) form

Engineering Electromagnetics: how did my textbook get this apporximation for gamma and alpha? I don't understand the derivation, it says to use the Taylor Series and I did.

For the system given in the figure the root locus a) lies on the real axis between points S = -1 and S = -3.6.b) lies on the real axis between points S = 0 and S = - 1.c) lies on the real axis between points S = -3.6 and S =∞ .d) lies on the real axis between points S = 0 and S = - 3.6.

I need help with this problem and an explanation of the solution for the image described below. (Introduction to Signals and Systems)

We can use Eq. 1.7 to find A A = 7 and B = 4) and the angle Then we get: 26. Find the angle between A = -5i - 3j + 2k and B -2j - 2k. [Ser4 7-20] Eq. 1.7 allows us to find the cosine of the angle between two vectors as long as we know their magnitudes and their dot product. The magnitudes of the vectors A and B are: (−5)² + (−3)² + (2)² = 6.164 B = and their dot product is: A B = AB cos = (7)(4) cos 60° = 14 A = A² + A² + A² = = which then gives A · B = AxBx+ AyBy + A₂B₂ = (−5)(0) + (−3)(−2) + (2)(−2) = 2 1.2. WORKED EXAMPLES √B²+ B²+ B² = √(0)² + (−2)² + (−2)² = 2.828 B. We have the magnitudes of the two vectors (namely between the two is = 130° 70° = 60°. Then from Eq. 1.7, if o is the angle between A and B, we have 2 (6.164) (2.828) This gives us: coso = From which we get by: A.B AB = 27. Two vectors a and b have the components, in arbitrary units, ax = 3.2, ay = 1.6, b = 0.50, by = 4.5. (a) Find the angle between the directions of a and b. (b) Find the components of a vector c that…