x + y +3z = 3
x +2y -3z = -2
4x + 12y +kz = - 27
Find the optimal solution for the following problem. Maximize C = 4x + 12y + 3z subject to 15x + 5y + 12z ≤ 75 6x + 2y + 8z ≤ 150 and x ≥ 0, y ≥ 0.
4x - 162= 56 2x - 3y - 3z = 31 2x+ 2y - 3z = 1 2x + 2y + 2z = - 14 Select the correct choice below and, if necessary, fill in the answer boxes to complete your ch O A. 16 x= 4, y = 3.za 2 (Type integers or fractions.) OB. X=ry Z= (Type integers or tractions.) OC. There is no solution
Given the system 3x – 2y + 5z = -5 x - y + 3z = -3 4x + y + 6z= -6 Evaluate (3). Given a2 = 6 and an An = = 2an-1 + 3n find the third and fourth term.
p x + y+ 2z Subject to x+ 2y + 2z 60 2x +y + 3z 60 +3y+ 6z s 60 Maximize x, y,z 2 0 p x + y+ 2z Subject to x+ 2y + 2z 60 2x +y + 3z 60 +3y+ 6z s 60 Maximize x, y,z 2 0
solve the system -x+y+3z=-3 x-2y-2z=8 3x-y-4z=6
Use (part A) line integral directly then use (part B) Stokes' Theorem 10. Use Stokes's Theorem to evaluate F dr where F(x, y, z) (3z 2y)i + (4x 3y)j + (z + 2y)k and C is the unit circle in the plane z (a) 67 (d) 12m 3. (b) TT (e) None of these (c) 3 TT 10. Use Stokes's Theorem to evaluate F dr where F(x, y, z) (3z 2y)i + (4x 3y)j + (z + 2y)k and C...
x^2y''+(4x-x^2)y'+(2-x)y=0 frobenious
4. Use Stokes' Theorem to evaluate F dr. F(x,y,z)-(3z,4x, 2y); C is the circle x2 + y2 4 in the xy-plane with a counterclockwise orientation looking down the positive z-axis. az az F dr-JI, (curl F) n ds and VGy, 1) Hint: use ax' dy
Use Gramar's Role Find D and save for X X-Y+Z=4 x+2y - Z=-| xty-3 .3Z=-2
#2. Solve the system of equations by any method. ( x + 2y + 3z + 4w = 5 J -5x - 4y + 3z + 2w = 1 1 x-y+z-w = 1 2x + y + 2z + w = 2 Answer: (x,y,z,w) =