Advanced Engineering Mathematics
6th Edition
ISBN: 9781284105902
Author: Dennis G. Zill
Publisher: Jones & Bartlett Learning
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Chapter 13, Problem 17CR
To determine
The solution of the boundary value problem under given boundary conditions.
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The equations ry? + 6xzcos(u) + ye" = 12 and æ*yz + xe" – 8u?v? = 24 are solved
for u and v as functions of x, y and z near the point P where (xy,z)3(1,1,1) and
(u, v) = (5,0). Find ()zy at P.
Türkçe: ry? + 6æzcos(u) + ye" = 12 ve a*yz+xe" – 8u²v² = 24 denklemleri P noktası
(xy.z)=(1,1,1) ve (u, v) = (5,0) civarında xy ve z'nin fonksiyonu olmak üzere u ve v için
ÇÖzümlü olsun. P'de ()zy'yi hesaplayınız.)
-30,00
12,00
O -0,17
O -80,00
O 64,00
The equations æcos(u) + 9uy? + e² +2=0 and 5ye" + 4x?v – 3æcos(z) +1=0 are solved for u and v as
functions of x, y and z near the point P where (xy.z)=(2,1,0) and (u.v)=(0,1). Find ()yz at P.
Türkçe: acos(u) + 9uy? + e +2 = 0 ve 5ye" + 4a?v – 3xcos(z) +1=0 denklemleri P noktası (x.y.z)=(2,1,0) ve
(u.v)=(0,1) civarında x.y ve z'nin fonksiyonu olmak üzere u ve v için çözümlü olsun. P'de ()yz yi hesaplayınız.
-0,11
-1,11
0,00
0,89
O -0,56
If r = (2x − x²y)i + (3xz − y²)j − (4xy² + x²z²)k, find
∂r/∂x ,
∂r/∂y ,
∂r/∂z
Chapter 13 Solutions
Advanced Engineering Mathematics
Ch. 13.1 - Prob. 1ECh. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Prob. 4ECh. 13.1 - Prob. 5ECh. 13.1 - Prob. 6ECh. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.1 - Prob. 9ECh. 13.1 - Prob. 10E
Ch. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Prob. 13ECh. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Prob. 16ECh. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 30ECh. 13.1 - Prob. 31ECh. 13.1 - Prob. 32ECh. 13.2 - Prob. 1ECh. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 5ECh. 13.2 - Prob. 6ECh. 13.2 - Prob. 7ECh. 13.2 - Prob. 8ECh. 13.2 - Prob. 9ECh. 13.2 - Prob. 10ECh. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.3 - Prob. 1ECh. 13.3 - Prob. 2ECh. 13.3 - Prob. 3ECh. 13.3 - Prob. 4ECh. 13.3 - Prob. 5ECh. 13.3 - Prob. 6ECh. 13.3 - Prob. 7ECh. 13.4 - Prob. 1ECh. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - Prob. 4ECh. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - Prob. 10ECh. 13.4 - Prob. 11ECh. 13.4 - Prob. 12ECh. 13.4 - Prob. 13ECh. 13.4 - Prob. 15ECh. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 23ECh. 13.5 - Prob. 1ECh. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - Prob. 4ECh. 13.5 - Prob. 5ECh. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - Prob. 10ECh. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - Prob. 13ECh. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 22ECh. 13.6 - Prob. 1ECh. 13.6 - Prob. 2ECh. 13.6 - Prob. 5ECh. 13.6 - Prob. 6ECh. 13.6 - Prob. 7ECh. 13.6 - Prob. 8ECh. 13.6 - Prob. 9ECh. 13.6 - Prob. 10ECh. 13.6 - Prob. 11ECh. 13.6 - Prob. 12ECh. 13.6 - Prob. 13ECh. 13.6 - Prob. 14ECh. 13.6 - Prob. 15ECh. 13.6 - Prob. 16ECh. 13.6 - Prob. 17ECh. 13.6 - Prob. 18ECh. 13.6 - Prob. 19ECh. 13.6 - Prob. 20ECh. 13.7 - Prob. 1ECh. 13.7 - Prob. 2ECh. 13.7 - Prob. 3ECh. 13.7 - Prob. 4ECh. 13.7 - Prob. 5ECh. 13.7 - Prob. 7ECh. 13.7 - Prob. 8ECh. 13.7 - Prob. 9ECh. 13.8 - Prob. 1ECh. 13.8 - Prob. 2ECh. 13.8 - Prob. 3ECh. 13.8 - Prob. 4ECh. 13 - Prob. 1CRCh. 13 - Prob. 3CRCh. 13 - Prob. 4CRCh. 13 - Prob. 5CRCh. 13 - Prob. 6CRCh. 13 - Prob. 7CRCh. 13 - Prob. 8CRCh. 13 - Prob. 9CRCh. 13 - Prob. 10CRCh. 13 - Prob. 11CRCh. 13 - Prob. 12CRCh. 13 - Prob. 13CRCh. 13 - Prob. 14CRCh. 13 - Prob. 15CRCh. 13 - Prob. 16CRCh. 13 - Prob. 17CRCh. 13 - Prob. 18CRCh. 13 - Prob. 19CRCh. 13 - Prob. 20CR
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- 1. Given f(x,y) = 2x² + y² whose graph is a paraboloid. Fill in the table with the values of the directional derivative at the points (a,b) in the directions given by the unit vectors, u, v and w. u = (1, 0) --(4+2) V = W = (0, 1) (a, b) = (1, 0) (a, b) = (1, 1)| (a, b) = (1, 2) Interpret each of the directional derivatives computed in the table at point (1,0) z=2x² + y²arrow_forwardThe equations xy² + 4xzcos(u) + ye" = 8 and x yz + xe" – 6u?v² = 18 are solved for u and v as functions of x, y and z near the point P where (x,y,z)=(1,1,1) and (u, v) = (5,0). Find (u )zy at P. Türkçe: xy? + 4xzcos(u) + ye" = 8 ve x³ yz + xe" – 6u?v² = 18 denklemleri P noktası (x,y,z)=(1,1,1) ve (u, v) = (5,0) civarında x,y ve z'nin fonksiyonu olmak üzere u ve v için çözümlü olsun. P'de (u )y'yi hesaplayınız.) O 8,00 O 48,00 O - 0,25 O -20,00 O -60,00arrow_forwardFind the values of ∂z/∂x and ∂z/∂y at the points z3 - xy + yz + y3 - 2 = 0, (1, 1, 1)arrow_forward
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- The equations ry? + 6xzcos(u) + ye" = 12 and x³yz + xe" – 4u?v? = 12 are solved for u and v as functions of x, y and z near the point P where (x,y,z)=(1,1,1) and (u, v) = (5,0). Find ( ).y at P. %3D Türkçe: xy? + 6xzcos(u) + ye" = 12 ve æ³yz + xe" – 4u?v² = 12 denklemleri P noktası (ху2)-(1,1,1) ve (и, v) Çözümlü olsun. P'de ().y'yi hesaplayınız.) (4,0) civarında x,y ve z'nin fonksiyonu olmak üzere u ve v için du dz 11,y O 32,00 O -0,17 O 12,00 O -40,00 O - 30,00arrow_forwarda) Compute the work done by F = (y², sin(z), x) along a straight line from (0,3,0) to (1, 0, 1). b) Compute the work done by F = (y², sin(z), x) along a triangular path from (0, 3, 0) to (1, 0, 1) to (0, 0, 2) and back to (0, 3, 0). c) Compute the work done by = (x, y², sin(z)) along a circular path of radius 3, centered at (0, 1, 0), in the plane y = 1, counterclockwise when viewed from the origin.arrow_forwardFind ∂ w/∂ x if w = x2 + y2 + z2 and z = x2 + y2.arrow_forward
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