23 je giv 3 5. Use Lagrange multipliers to find the volume of the largest rectangular paral- lelpiped that can be inscri

[answerhappygod]

23 Je Giv 3 5 Use Lagrange Multipliers To Find The Volume Of The Largest Rectangular Paral Lelpiped That Can Be Inscri 1 (34.74 KiB) Viewed 28 times

23 je giv 3 5. Use Lagrange multipliers to find the volume of the largest rectangular paral- lelpiped that can be inscribed inside the ellipsoid 12 2 + 16 Uolume - U(x,y,z) - 2x 24:22 = 8xya 9(x, y, z)= ellipsoid = хту, 2 4 144 169 -1=0 Step 1: Find all values of X, Y, Z, 4 such that #f(x, y, z) = x + g(x, y, z) + g(x, y, z) "K Lagrange Multiplier Form → L = V(x, y, z) 2L 2 thx8 = 2L. 8ya + 2×10 2x 16 2L. 8xt + 2y1 .. гу hx8. 2*/Y+ zhx8 на + hhl 221 169 91 яд (х,у, а) 8. 1 уг + 22 144 169 11 144 169 144 169 2Ax - 8xt глу -) 1 213 Plug ini 6 144 169 = -8y2 (x) + -8x2 (ум), - 8 xу (29% глу 23 XYL