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Question: A basic property of the electric field E→ is that its divergence is zero at points where there is no charge. Suppose that the only charge is along the z-axis, and that the electric field E points radially out from the z-axis and its magnitude depends only on the distance r from the zaxis. Use the Divergence Theorem to show that the magnitude of the field is proportional to 1/r. [Hint: Consider a solid region consisting of a cylinder of finite length whose axis is the z-axis, and with a smaller concentric cylinder removed.]
Use the MVT to prove that | sin a - sin b|
John can build a house in 4 days while kagwe can only take 3 days to build the same layout of the building. how long will it take both of them working together to build the house.
Consider a recent project in which you were involved (the project can be based on your experience in work settings, school-related efforts, family events, or community service).
What are the dimensions of the pen that has maximum area - A farmer has 80 feet of fance with which he plans to enclose a rectangular pen
a pool measuring 8 meters by 30 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 792 square meters, what is the width of the path.
Let A(t) be the balance in a savings account after t years, and suppose that A(t) satisfies the differential equation - A'(t) = (ln 3)A(t)
part anbsp1. the degreev of a pendant vertex may be either one or zero.nbspnbspnbspnbspnbsp tnbsp ornbsp fnbsp2. a tree
shirley is going to have exterior of her home painted. tims painting charges 250 plus 14 per hour. colorful paints
Discuss how CSR has become an important part of business and give examples of at least 2 companies who have been very active in regard to their social responsibility.
Find the number of elements in A1 ? A2 ? A3 if there are 100 elements in A1, 1000 in A2, and 10,000 in A3 if a) A1 ? A2 and A2 ? A3.
a mini-black hole formed when a superadvanced civilation decides to punish you by squeezing you until you become so small that you disappear inside your own event horizon.
A circular sector with radius r and angle theta has an area . Find r and theta so that the perimeter is smallest when A=2 and A=10.
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