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. Find the domain of the following functions: m (1) y=log (16-x²); (2) y = arcsin x+; (3) y = x-3 x-2

. Find the domain of the following functions: m (1) y=log (16-x²); (2) y = arcsin x+; (3) y = x-3 x-2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Find the domain of the following functions: (1) y= log, (16–x²); (2) y=/arcsin x +- 5: (3) y x-3 ; (3) у%3D x-2 2. The temperature in degrees Celsius on the surface of a metal plate is T(x, y) =10– 4.x² – y? where x and y are measured in centimetres. In what direction from (2,–1) does the temperature increase most rapidly? What is the rate of increase? [3 1 1 3. Let A=|1 2 0, compute the eigenvalues and eigenvectors. 1 0 2
Transcribed Image Text:1. Find the domain of the following functions: (1) y= log, (16–x²); (2) y=/arcsin x +- 5: (3) y x-3 ; (3) у%3D x-2 2. The temperature in degrees Celsius on the surface of a metal plate is T(x, y) =10– 4.x² – y? where x and y are measured in centimetres. In what direction from (2,–1) does the temperature increase most rapidly? What is the rate of increase? [3 1 1 3. Let A=|1 2 0, compute the eigenvalues and eigenvectors. 1 0 2
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