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Draw concentric circles of radii a and b, each centered at z=id (on the imaginary axis). Suppose φ(x,y) is a harmonic function inside the washer defined by these circles. The circle with radius a is an isotherm with φ = 1, and φ = 0 on the circle with radius b. What, to 3 decimal places, is the value of φ at x = -(2a + 3b)/5, and y = d? Call this number "m9 ".
Code and test Jacobi and Gauss-Sidel solvers for arbitrary diagonally dominant linear systems.
prove that A=3i+j-2k ,B= -i+3j+4k, C=4i-2j-6k can form a triangle and find the length of the medians of the triangle.
y''(x)=2*10^-6*y(x)(100000-y(x))
in the diagram shown below, the fuel tank which is of uniform cross section and of length 8m is position so that the rear of the tank is 19 metres from the datum. the mass of the f
Arrianna spended $5,500 at 7.5% p.a. compounded quarterly for 'n' years. At the end of 'n' years, Arrianna got back $12,000. What is the value of n? (Approximate your answer in yea
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The number ways of choosing 2 boys and 2 girls in a class for a game of mixed doubles is 1620. Then, what is the number of ways of choosing 2 students in the class?
What, to 3 decimal places, is the principal value of [a - ic] (b + id)/10 (real and imaginary parts)? Call the real part, and the imaginary part. Give one (any) other value of th
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
The data in this exam are a set of 6 integers a through f, based on your social security number. Write the LAST 6 digits of your social security or ID number in the spaces below, t
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