1. Let {an}1 be a convergent sequence such that V5 and an+1 3D V5а,. a1 = Compute lim an. n→∞

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Q: QUESTION 5 6.29a: Select the correct reason and conclusion Hint: See L-15 pdf and lecture, page 8-11…

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Q: 6.29d: Select the most relevant answer Hint: See L-14 pdf and lecture, page 20 OL No. The standard…

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Q: Show that the following functions satisfy Laplace's equation 0. dy? %3D (a) f(r, y) = r*y – xy³

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Q: E. Find a function u(x, y) that is harmonic outside the unit disk, equals f(0) = 4 sin(30) + 5…

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Q: 2. For which value of a is u(x, y) = x³ + xy² harmonic in R². ?

A: Given ,           u(x,y) = x3+αxy2 (.)  A real valued function  f(x,y) is harmonic in ℝ2  if ,…

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Q: Find a function u(x, y) that is harmonic in R² and that equals f(0) = 4 sin(30) + 5 cos(60) o the…

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