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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
As an engineering student, the ministry of energy and minerals has tasked you to help them model equation(s) that can estimate the amount of crude oil in a reservoir. The governmen
Evaluate the expression below for various smoothers, plot and compare the results, making appropriate comments.
change each of the following propositions into symbolic form. Dene the universe of discourse and the predicates you use. (i) Some children are afraid of snakes. (ii) All com
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-20+i,-20-i
Solve the initial value problem 11(t+1)dydt-7y=28t, for t>-1 with y(0)=14. Put the problem in standard form. Then find the integrating factor, ?(t)= , and finally find y(t)=
if u=x^2-2y^2, v=2x^2-y^2 and x=rcosp ad y=rsinp, find the value of the jacobian d(u,v)/d(r,p)
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
. The Government of Uganda wants to locate a refinery plant that will annually receive crude oil from two wells in Bunyoro region, F1 and F2. The refinery plant will process the cr
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