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Please help on Contour Integration:
Question 1: Determine the integral of the function phi(z)=tan(z) around a contour that is a rectangle extending from 0 to 2pi in the real direction and from -0.5i to +0.5i in the imaginary direction.
Question 2: Determine the integral of the function phi(z)=sin(z) / ((z-pi)(z+pi)) around the contour that is a circle with radius 2"
Prove the parallelogram equality that is, the sum of the squares of the diagonals of a parallelogram equals the sum of the squares of its sides.
Each side of an equilateral triangle is 2 cm in length. The midpoints are joined to form a second equilateral triangle.
A street light is mounted at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path
Given equation, describes a linear, second-order, constant-coefficient differential equation used to model a mechanical spring damper system.
Use the transformation matrices discussed in this section to perform the given transformation.
Linear equations provide information on how quickly data are rising or falling, known as the slope of the equation. Find a real-world application of a linear equation and discuss the meaning of the equation.
The colder the temperature, the slower the rate of chirping. The table below shows the average chirp rate of a cricket at temperatures.
What is the conditional probability that a teenager in Seoul who does not like K-Pop likes R&B?
The base of an aquarium with given volume V=465 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Enter your ..
Are you able to write a Literature Review for the research paper you wrote an introduction for last week?
When she is 30, Sue starts making annual deposits of $2150 into a bond fund that pays 5 percent annual interest compounded continuously.
Suppose that f is continuous on [a,b], f(z) 0. Set z = sup{x: f (t)
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