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Suppose there is a cylindrical shell with inner radius 'a' and outer radius 'b' inner surface is at potential V0 and outer surface is grounded. The area between inner and outer surface is filled with two dielectric materials (σ1,?1 for 0< Φ<2π/3 and σ2,?2 for 2π/3< Φ<2π ). If length of shell is L . Calculate Resistance per unit length using total power dissipation and power dissipation density.
What is the Law of Large Numbers? How do we apply the Law of Large Numbers to a situation?
An elastic bar has a static displacement due to an applied axial load F. The force is suddenly removed, resulting in free oscillations of the bar. Derive the expression governing the displacement u(x, t) of a particle along the axis of the bar
An accountant randomly selects (60+n) general accounts payable and examines them to determine whether they are correct. Six accounts contain errors.
Suppose y is fixed and positive. Does z increase or decrease as x increases? Graph z against x.
Find the equation of the tangent plane to the surface at the point (3, -1, 15). Using the differentials (or linear approximation) evaluate the approximate value of z on the surface when x = 3.01 and y = -1.01.
Let A be a set of seven (distinct) natural numbers none of which exceeds 21. Prove that the sums of the elements in all the nonempty subsets of A.
A 65 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 30 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the..
If a basketball player sprints the length of a college basketball floor 27 times, how many miles did he run?
You and a friend have decided to work jointly on a major course project. The assignment is to outline 12 articles and write a 40 page paper. Your friend is a less-than-ideal partner. He can only outline 2 articles a day or type 10 pages a day. You on..
Using one proportion Z test to determine
In how many ways can all the trees be distributed and planted if the trees are distinct, any family can get any number, and a family must plant its trees in an evenly spaced row along the road?
If a quadratic function can be used as a model, we can find such maximums or minimums by finding coordinates of the vertex. EXAMPLE 1 Fenced-In Land. A farmer has 64 yd of fencing. What are the dimensions of the largest rectangular pen that the fa..
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