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goldfiish [28.3K]
3 years ago
6

Z = x4 + x2y, x = s + 2t − u, y = stu2; ∂z ∂s , ∂z ∂t , ∂z ∂u when s = 1, t = 4, u = 5

Mathematics
1 answer:
kiruha [24]3 years ago
3 0
x(1,4,5)=4
y(1,4,5)=100

z_s=z_xx_s+z_yy_s=(4x^3+2xy)(1)+x^2(tu^2)
z_s(1,4,5)=1,024,000

z_t=z_xx_t+z_yy_t=(4x^3+2xy)(2)+x^2(su^2)
z_t(1,4,5)=1,331,200

z_u=z_xx_u+z_yy_u=(4x^3+2xy)(-1)+x^2(2st)
z_u(1,4,5)=-450,560
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{52 \choose 7}{7 \choose 2}{45 \choose 7}{7 \choose 2}{38 \choose 7}{7 \choose 2}{31 \choose 7}{7 \choose 2}={52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4

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