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The function f(x, y) satisfies the Laplace equation

on a circular domain of radius r = 1 with its center at point P with coordinates x = 0, y = 0. The value of this function on the circular boundary of this domain is equal to 3.
The numerical value of f(0, 0) is:
  • a)
    0
  • b)
    2
  • c)
    3
  • d)
    1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The function f(x, y) satisfies the Laplace equationon a circular domai...
Given that,
The function f(x, y) satisfies the Laplace equation  ∇2f(x, y) = 0
on a circular domain of radius r = 1 with its center at point P with coordinates x = 0, y = 0. 
The value of this function on the circular boundary of this domain is equal to 3.
Here it is given that the value of the function is 3 for its domain, which signifies that it is a constant function whose value is 3.
So the value of the function at (0, 0) is 3.
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The function f(x, y) satisfies the Laplace equationon a circular domain of radius r = 1 with its center at point P with coordinates x = 0, y = 0. The value of this function on the circular boundary of this domain is equal to 3.The numerical value of f(0, 0) is:a)0b)2c)3d)1Correct answer is option 'C'. Can you explain this answer?
Question Description
The function f(x, y) satisfies the Laplace equationon a circular domain of radius r = 1 with its center at point P with coordinates x = 0, y = 0. The value of this function on the circular boundary of this domain is equal to 3.The numerical value of f(0, 0) is:a)0b)2c)3d)1Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The function f(x, y) satisfies the Laplace equationon a circular domain of radius r = 1 with its center at point P with coordinates x = 0, y = 0. The value of this function on the circular boundary of this domain is equal to 3.The numerical value of f(0, 0) is:a)0b)2c)3d)1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The function f(x, y) satisfies the Laplace equationon a circular domain of radius r = 1 with its center at point P with coordinates x = 0, y = 0. The value of this function on the circular boundary of this domain is equal to 3.The numerical value of f(0, 0) is:a)0b)2c)3d)1Correct answer is option 'C'. Can you explain this answer?.
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