a) Solve it using Gauss' method. Solution: x+3y+z+ w = 6 -y +2w=-4 2x+5y+2z+4w= 8 x +7w=-6 b) State whether there is a no solution, a single solution, or infinitely many solutions. Solution: c) Give the solution set in vector form. Solution:

2. form: Solve the system of equations. Put your solutions, if there is one, in parametric X1 -X1 + X2 + X3 = 1 + X2 + 4x3 = 2 2x2 + 5x3 = 4

Identify the quadric with the given equation and give its equation in standard form   16x2 + 100y2 + 9z2 -24xz - 60x -80z = 0

Solve 0 = x2- 10x + 30 by completing the square. %3D O A. x 5 +i and x = 5 -i O B. x = 5 + i/5 and x = 5 - i5 C. x=-5-i/6 and x = -5 + iv/6 D. x = -5 - iv/5 and x = -5 + iv/5 %3D

Solve (-1+i)6 using De Moivre’s Theorem. Express final answer as rectangular form.

Solve; (2x+3у-2)dx + (3x- 4у+1)dy 3D0 H.W

Identify the equation x2 + y2 + xy + 3x - y - 3 = 0 without completing the square or using a rotation of axes.

Solve the system using Cramer’s Rule. -x1 +2x2 - 3x3 = 24 2x1 -4x2 +9x3 = 12 3x1 -6x2 +9x3 = 16 b) Determine the concavity of the parabola, representing the quadratic equation, its y intercepts, its x intercepts if any exists, and the coordinated of vertex. Sketch the parabola.

Find the roots of the equations: a) 3z2+3z+1=0 b) 2z2-2z+3=0

Solve. (x, y) -3 -(²H-22)-[22] -1 -Y = 2x -8 6 1 Tutorial -9 -15 12