(a) If Q: R"R is a quadratic form, ex that O takes on

Q: 4. Solve. A) 3 ()² − 7 (¹) + 4 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: white the funetion in the form flx)- for the given value of K, and demon c flx)= r 2 flx)= x3-x-14x…

A: Given    q(x) is the quotient when F(x) is divided by x + 1 and r is the remainder.

Q: Show that if A is square, then |detA| is the product of the singular values of A

A:

Q: Determine the real values of a, b, and c for the quadratic function Ax) = ax + bx+c, a +0 that…

A: Here we have to determine the real values of a, b, and c for the quadratic function f(x)=ax2+bx+c…

Q: The quadratic form Q = x' – 4xz + 6y? + 422 is:

A:

Q: Check the definiteness of the following quadratic form;

A:

Q: 6 Match the following quadratics to their zeros. x² + 10x + 21 = 0 x² + 76x + 75 = 0 x² + 32x + 31 =…

A:

Q: sider the following quadratic form on R²:

A: Given the quadratic form on R2:                 Q(x)=-4617x12+2917x22+4017x1x2

Q: 3. Let r be a root of x3 - 5x +7 = 0. In Q[r] express - 1- 7r + 2r2 a) 1+r + r2 | as a quadratic…

A:

Q: Check the definiteness of the following quadratic form; Q(x1, X2, X3) = 2xỉ + 3x – x + 5x,x3 + X2X3

A: The definiteness of quadratic form is defined by corresponding symmetric matrix.

Q: use Property 6.1 to help solve each quadratic equation. 3(x + 7)2 + 4 = 79

A: Given property 6.1,  For any real number a, x2=a if and only if x=a or x=-a

Q: (a) Vx(x² > 4 →x>-2). (b) Vx3y (2x + y² = 0). (c) Vxy(x² + y = 25). (d) 3xy(x² + y² = -1).

A: a False b False c True d False

Q: 19 a) Edur 1+2r 1 b) (1 +25), | E dr

A: We will solve  the integration.

Q: 59. Let a, c +0. Show that the roots of ax? + bx +c = 0 cx? + bx + a =0 and are reciprocals of each…

A:

Q: Determine all of the subfields of Q(√2).

A: To find all subfields of Q2

Q: ints) Check the definiteness of the following quadratic form; Q(x1,x2,x3) = 2xỉ + 3x3 – x + 5x1x3+…

A: Given that Qx1,x2,x3=2x12+3x22−x32+5x1x3+x2x3 is a quadratic form. It is required to check the…

Q: Q1) Write the following in scientific notation 1.) 1.234*10 2) -8.765*10402 3.) 1015

A: Given notation can be solved by formulaes

Q: a) Calculate the 4th roots of (5-j3)

A: The objective is to calculate the 4th roots of (5-j 3).

Q: Evaluate by Algebraic Substitution: * 5. S/1+vz dz -(1-v5)(3VE – 2) +c b. (1+ v7)(3V7 + 2) + C 5(1 +…

A:

Q: If f(x) = x +l and g(x) = x-1 then the domain of (fog)(x') is a) All Real Numbers b) x21 c) IS1 d)…

A: Thanks for the question :)And your upvote will be really appreciable ;)