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TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

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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TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

computing the |H| = = x - - it -16 (²²4) 49 (x²y³²4 + y)² 256 2401 4 (1+2+3) 7 (x + x²³y²4) ² 16x (1+2 2 ² y ³) ( 1+ 22554) 49 784 (1+ |H|>0 obseme that determinant of H. X- in the conver Therefore, 2401 (x²²y³²+ y)²(x +äkyätze +x+y - 16 (2²³²4 y ²) 47 (x+²³7y²7) ² 4 (2245) (x²y³²7 + y)² (x + x^²+y^4) ² 9²2) ( 1+ 2/2 u²+ y^²^2) – 2² -256 so н жу 2 in the of LOS THI>O for all 2x² interior of ist quadrant of QR² means that the function f(x,y) is in aqualities are strict, and f(x,y) strictly conver. 2 first quadrant of R
Transcribed Image Text:computing the |H| = = x - - it -16 (²²4) 49 (x²y³²4 + y)² 256 2401 4 (1+2+3) 7 (x + x²³y²4) ² 16x (1+2 2 ² y ³) ( 1+ 22554) 49 784 (1+ |H|>0 obseme that determinant of H. X- in the conver Therefore, 2401 (x²²y³²+ y)²(x +äkyätze +x+y - 16 (2²³²4 y ²) 47 (x+²³7y²7) ² 4 (2245) (x²y³²7 + y)² (x + x^²+y^4) ² 9²2) ( 1+ 2/2 u²+ y^²^2) – 2² -256 so н жу 2 in the of LOS THI>O for all 2x² interior of ist quadrant of QR² means that the function f(x,y) is in aqualities are strict, and f(x,y) strictly conver. 2 first quadrant of R
The function of Differentiate the function f(x,y) enth and and yo respect to 20 oy? 5/6 оу = 11 Also, of оиду of буде Now, The H = = W f(x,y) = in (x ² = + y^² =) = =-(- = 16 49 7 y 16 has been defined by – (14 49 1 of 1/2+y 4(1+² ¹²$) 2 7 (x + x²³ y ²5 ₁² 84² o²f X 2 4 3/2 буд 02/4x 4 47 7 (x²²7 +y ²³7) 4 (2₂²³5/4+1) 7 (x²" y " + + y)² (*+ 27y²4) x (1 7x²³² (x² 4 + y^²4) 3/x x y 7 (x + x² + y²4) ² 27 re m/x ~/x 4 -3/7 x 2²/1/2) ау y Hessian matri mix "/xxy X <o Mlx - 3/4 12 of +y^² =) (x + x²44) ² is mixy 2 (x + ²y ² ) ² оход off in the domain. дуг <o J 7 (x+2²=y³s)
Transcribed Image Text:The function of Differentiate the function f(x,y) enth and and yo respect to 20 oy? 5/6 оу = 11 Also, of оиду of буде Now, The H = = W f(x,y) = in (x ² = + y^² =) = =-(- = 16 49 7 y 16 has been defined by – (14 49 1 of 1/2+y 4(1+² ¹²$) 2 7 (x + x²³ y ²5 ₁² 84² o²f X 2 4 3/2 буд 02/4x 4 47 7 (x²²7 +y ²³7) 4 (2₂²³5/4+1) 7 (x²" y " + + y)² (*+ 27y²4) x (1 7x²³² (x² 4 + y^²4) 3/x x y 7 (x + x² + y²4) ² 27 re m/x ~/x 4 -3/7 x 2²/1/2) ау y Hessian matri mix "/xxy X <o Mlx - 3/4 12 of +y^² =) (x + x²44) ² is mixy 2 (x + ²y ² ) ² оход off in the domain. дуг <o J 7 (x+2²=y³s)
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