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- Identify the quadric with the given equation and give its equation in standard form 11x2 + 11y2 + 14z2 + 2xy + 8xz -8yz -12x + 12y + 12z = 63x2 + 3y2-9x+12y+4=0identify the standard form, radius and center;Find the value of z and w in the following simultaneous equations. 3z + 6 = -iw 2z – 4 = w + 2i Also find the complex conjugates of z and w.
- Identify the conic represented by equation 4x2 - 9y2 - 8x + 12y - 144 = 0 without completing the square.Solve the equation x3 - (1 - i√3) = 0 in the complex number system. Express solution in polar and rectangular form.SOLVE STEP BY STEP IN DIGITAL FORMAT 4. By a rotation of the coordinate axes, transform the equation 8x² -24xy + 15y²+4y-4=0 into another one that lacks the xy term.
- If z1 = 13 – 10i and z2 = -15 + 9i, determine the following: 4z1 – 5z2 (Rectangular Form)Find the point on the ellipse x? + 4y? + 2xy = 12 with the greatest x-coordinate. (Use decimal notation and fractions where needed. Give your answer as the coordinates of a point in the form (*,*).) (x, y) =Please solve c using parametric equations