Express the quadratic equation in the matrix form x Ax+ Kx + f = 0, where x Ax is the associated quadratic form and K is an appropriate matrix. A = ¹-(- -) K= f= y² + 2x - 3y -1=0, =

Calculate B(5,2) if B (a,r) = 2ar+r^3

Find (4z² + 3z")dz -1

d^2B(u)/du^2 ,but where B(u)= 1/(1+u)^7

4. Express (-23+ j2) in rectangular form.

d = /(x2 - 21) + (42 - Y1)² (8,-3) and (-5, 6)

Consider the following quadratic equation: Bx + (5x^2)/2 + (5y^2)/4 + y/(sqrt(2)) + 1 = 0 Check the alternative that contains ALL values ​​of B for which the equation represents a single point on the Cartesian plane. a. The given equation represents a single point for any real value of Bb. -3 < B < 3c. B = 3 or B = -3d. B > 3 or B < -3e. B = 5 or B = -5

a. Solve x^2-4x+3=0 b. The quadratic equation x^2- px+10 = 0 has real roots a and B. Find a + B and aß. Given that a^2+ B^2= 5, find the possible values of p. c. Find the equation of the straight line L with gradient 2 and passing through the point (-2, 3).

What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is changed?

Determine the solution set to the complex equation: z^2 - (8 - j5)z + (40 - j20) = 0 (hint: quadratic formula)