y be a real constant with 21 for the parametric functional S[x,y] = [[ª dt [√ï³² + 2y àÿ + ij² − \(xÿ−ày)], \>0, with the boundary conditions (0) = y(0) = 0, x(1) = R > 0 and y(1) = 0. dx dy +2 = ds ds 2(c-Ay) and dx dy Υ + ds ds = =2(d+Xx), where c and d are constants and | s(t) = √² dt√√² + 2y ȧy +ÿ². 2 dx dx dy dy 2 +27 + = 1. ds ds ds ds (1-2)x' = D-X where D = 2(c-yd), X = 2X(yx + y), C+Y where C = 2(dyc), Y = 2λ(x + y), (1-2) where dx I' = ds y' dy = ds X2 Y2-2yXY - 4c(1-2)X+4d(1-2)Y +C2D2+2yCD = (1-2)2.

y be a real constant with 21 for the parametric functional S[x,y] = [[ª dt [√ï³² + 2y àÿ + ij² − \(xÿ−ày)], \>0, with the boundary conditions (0) = y(0) = 0, x(1) = R > 0 and y(1) = 0. dx dy +2 = ds ds 2(c-Ay) and dx dy Υ + ds ds = =2(d+Xx), where c and d are constants and | s(t) = √² dt√√² + 2y ȧy +ÿ². 2 dx dx dy dy 2 +27 + = 1. ds ds ds ds (1-2)x' = D-X where D = 2(c-yd), X = 2X(yx + y), C+Y where C = 2(dyc), Y = 2λ(x + y), (1-2) where dx I' = ds y' dy = ds X2 Y2-2yXY - 4c(1-2)X+4d(1-2)Y +C2D2+2yCD = (1-2)2.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 25E

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