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Let z0 = a + ic, z1 = b + id, z2 = -id, and z = [z0 + z1]. Let z0 be the apex of the wedge with one ray passing through z1 and the other passing through z2, and with z in its interior. Suppose φ is a harmonic function in the wedge that contains z, z1, z2, and z0, taking the value -0.5 on the ray passing through z1 and the value 1.5 on the ray passing through z2. What, to 3 decimal places, is the value of φ at z?
(Hint: if you can't figure out how to get the right quadrants for your angles, try breaking them into pieces - referencing each piece separately to the nearest axis, +y or -y or -x - so that each piece is between 0 and 90 degrees; then sum them up.)
a restrained steel bar is heated from 20 degrees to 194 degrees and not permitted to expand. the bar is 10mm diameter, determine the thermal stress in the bar
Define a mapping from the x,y plane to the u,v plane by u = 2x + y, v = -x +2y . If a temperature function is given in the x,y plane by T(x,y) = x+y, what is the value, to 3 de
Below are the conditions specified by the institution: a) If the temperature sensor shows 30 degree Celsius or higher, the air-conditioner will be turned ON regardless of the othe
b) State by inspection (i.e. without performing any formal analysis) all you can about each of the periodic waveforms shown in FIGURE 1 in terms of their Fourier series when analys
1. what is the formula of the sequence by three?
A cosmetic store offer at RM245 for a package, consisting of a foundation, a compact powder and a lipstick, which is saving of 15% on the cost of buying the units indiviually. If b
advantages of langmuir adsorption theory
How to solve the problems
parabola
(13x7y)0
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