Check the divergence theorem for radius R, centered at the origin. = r² over the surface/volume of a sphere of
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- Case a<r<b : your dA is πr^2 but when you rearrange for E your denominator is 2πε0r^2 where did the 2 come from ? Thanks :)Question 6: The volume of a box with sides of length a,b and c is V = abc . The surface area of the same box is S = 2(ab+bc+ ac). Derive an expression for the change in volume associated with changing the length a, while holding both S and length b constant. (Hint: The algebra here becomes much simpler than it might first appear through the judicious use of partial derivative relationships.)Which of the following statements are correct? Adding two vectors creates a new "resultant" vector. When adding parallel vectors, the resultant vector is the sum of the magnitudes of the original vectors. When adding perpendicular vectors, the resultant vector is the sum of the magnitudes of the original vectors. Graphing calculators always report angles in degrees. Vectors pointing in different direction cannot be subtracted. A vector can be broken into x and y component vectors that sum to equal the original vector. Multiplying a vector by a scalar changes the vector's magnitude and direction.
- Need help on finding the values of R_k , R_0 and S . If you can show me how to solve it step by step , thanks in advance .Calculate the divergences of cach of the following vectors: (a) v = 3k (b) v = r (c) = (4xz + y?) î + (12a² – 2²) ĵ + (xy – yz) k (d) ở = -yî+ x} (c) v = . -Using spherical polar coordinates r, 0, p to find CM of a uniform solid hemisphere of radius R, whose flat face lies in the xy plane with its center at the origin. The element of volume is in spherical polars of dV = r² dr sine de dip.