draw concentric circles of radii a and b each, Engineering Mathematics

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draw concentric circles of radii a and b each

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 ".

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Engineering Mathematics: draw concentric circles of radii a and b each

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