19. IF A = 3x9²²¹ 2 + 2xy²j - x²yek & 8 = 3x² - y2 FIND: A) 7. À @ (1,-1,₁1) *- - - - = a d + + ax • A = 2(3x42²) + (2x4²³) + 2/₂² (-x²³ y ²) = 2 32 = ax dz oy 3 yz ² + b xy² - x²y @ (1,-1,1) 3(-1)(0)² + 6(1)(-0²-(0)² (-1) = -3 + 6 - (-1) = (4) dz B. F. (DA) @ (1,-1, 1) (px) = (3xyz^2 + 2x4²3 - x^4²6) (3x²-ye) - 3 3 (3x² - y²) (3 xyz²)i + (3x² - y2) (2x4³) ; - (3x² - y²) (x²y²) k = 9x³y²² - 3 xy² 2² 2 + 6x³y² - 2xy^2; ; - 3x^y² - x^²y^² 2²¹ 7 7. (DA) = 2(9x³y2²-3x4³2³)+2 (6x³y² - 2xy^2); + (-3x^yz -x²y²2²) × = d dz dy 27x²92²- 34²2²2 - 27 x²y' - sxy³2) + (-3x^4 -2x³y²z) k 27 (1) ² (-1) (1)²-3 (-1)² (1) ³ + 27 (1) ³ (-1)² - 8 (1) (-1) ³ (1) + (-3 (1) + (-1) - 2 (1)²2-17² (1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Hellllllllllp! I can’t figure out what I am doing wrong in this problem. The answer is supposed to be 1. I am referring to the second problem (B) on the photo sent. Thank you!
9. IF A = 3x9²² i + 2xy^j - x²yek & %² = 3x² - y2 FIND:
A) 7. À @ (1₁-1, 1)
• A = 2(3x42²) +
ax
@ (1,-1,1)
oy
2
3y₂ ² + b xy² - x²y
dx
√ = a
ax
d
+
(2x4²³) + 2/₂2 (-x²4²) =
=
dz
3(-1)(0)² + 6(1)(-0)²-(0)² (-1) =
-3 + 6-(-1)
(4)
B. F. (BA) @ (1,-1, 1),
(px) = (3xyz^2 + 2x4²3 - x^4²2) (3x² - y2) -
+
dz
(3x²- y²) (3 xyz²)i + (3x²-yz) (2x4³) ; - (3x² - y²) (x²y² ) ê =
3 3
9x²³ y ²² - 3 xy² 2²³ ² + 6x³y² - 2xy^², j - 3x^yz - x²y²z²7.
7. (PA) =
2(9x³y2²-3x4³2³) î+2 (6x³y² - 2xy^2); + (-3x^²yz -x²y²2²) × =
d
dz
dy
27x²92²- 34²2²2 - 27 x ²4' - sxy³z + (-3x^4 -2x³y²z) k
27 (1) ² (-1) (1)²-3 (-1)² (1) ³ + 27 (1) ³ (-1) ² - 8 (1) (-1) ³ (1) + (-3 (1) + (-1) - 2 (1) ²2-17² (1)
Transcribed Image Text:9. IF A = 3x9²² i + 2xy^j - x²yek & %² = 3x² - y2 FIND: A) 7. À @ (1₁-1, 1) • A = 2(3x42²) + ax @ (1,-1,1) oy 2 3y₂ ² + b xy² - x²y dx √ = a ax d + (2x4²³) + 2/₂2 (-x²4²) = = dz 3(-1)(0)² + 6(1)(-0)²-(0)² (-1) = -3 + 6-(-1) (4) B. F. (BA) @ (1,-1, 1), (px) = (3xyz^2 + 2x4²3 - x^4²2) (3x² - y2) - + dz (3x²- y²) (3 xyz²)i + (3x²-yz) (2x4³) ; - (3x² - y²) (x²y² ) ê = 3 3 9x²³ y ²² - 3 xy² 2²³ ² + 6x³y² - 2xy^², j - 3x^yz - x²y²z²7. 7. (PA) = 2(9x³y2²-3x4³2³) î+2 (6x³y² - 2xy^2); + (-3x^²yz -x²y²2²) × = d dz dy 27x²92²- 34²2²2 - 27 x ²4' - sxy³z + (-3x^4 -2x³y²z) k 27 (1) ² (-1) (1)²-3 (-1)² (1) ³ + 27 (1) ³ (-1) ² - 8 (1) (-1) ³ (1) + (-3 (1) + (-1) - 2 (1) ²2-17² (1)
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