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Author Question: Find if z = x sin y, where x = t2 + 2t + 1 and y = ln t. (Read 48 times)

dalyningkenk

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Question 1

For what value(s) of the constant  k  is the function  f(x, y, z) = e-(3x + 4y)sin(kz)  a harmonic function in 3-space?  Note that a harmonic function f in 3-space satisfies + + = 0.
◦ k = 7
◦ k = 0
◦ k = ± 5
◦ k = ± 1
◦ k = ±4

Question 2

Find  if  z = x sin y, where x = t2 + 2t + 1  and y = ln t.
= 2(t + 1) sin(ln t) + cos(ln t)
= 2(t + 1) cos(ln t) + sin(ln t)
= 2(t + 1) sin(ln t) + cos(ln t)
= 2(t + 1) sin(t) + cos(t)
= 2(t + 1) sin(ln t) - sin(ln t)


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Marked as best answer by dalyningkenk on May 27, 2021

miss_1456@hotmail.com

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dalyningkenk

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Reply 2 on: May 27, 2021
Excellent


tranoy

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Reply 3 on: Yesterday
YES! Correct, THANKS for helping me on my review

 

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