Find the change of variable x = Py that transforms the quadratic form XTAX into yTDy as shown. - 14x3 - 13x3 - 12x3 + 24×,X2 - 24x,X3 = 4y? - 13y3 - 30y

Q: 3. Which equation is the standard form a- 4y + 6x – 8y+1= 0?

A: Given,            x2-4y2+6x-8y+1=0To find : Write the equation in standard form.

Q: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

A:

Q: Discuss the nature of the quadratic form x2+4xy+6xz-y2+2yz+4z2

A:

Q: Express the quadratic function in standard form, and identify a, b and c.…

A: Given:

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: Which of the following equations is an example of a quadratic equation? Oy=*-5 y%= Oy=x-5 Oy= 16x…

A: In this question we have to find the equation of quadratic equation. In quadratic equation variable…

Q: Complete the square in the quadratic function f given byf(x) = 2x2 - 6x + 4

A: To complete the square in the quadratic function f.

Q: Find the quadratic function y = ax2 + bx + c whose graph passes through the given points (-1, -4),…

A:

Q: Find the change of variable x = Py that transforms the quadratic form xTAx into yTDy as shown 2x? +…

A:

Q: (e) A = ; 10 2 (f) A represents the quadratic form g(x, y) = x² + 4xy + 4y²;

A:

Q: Find the quadratic function y = ax + bx +c whose graph passes through the given points. (-2, - 4),…

A: put all 3 data points system Ax=b is

Q: Identify the value of a in the quadratic function 4. – 21 = –3x. O A. 4 O B. 3 O C -21 O D. -3

A: To identify the value of a in the quadratic function 4x2-21=-3x. Solution: We know that a quadratic…

Q: Find the quadratic function y = ax² + bx + c whose graph passes through the given points. (1,2), (–…

A: Here given that y=ax2+bx+c...(1) which passes through (1,2), (-1,-8), (-3,6) To find a,b, and c for…

Q: . For a particular quadratic function, the leadin whose coordinates are (-3, 14). Which of the (1)…

A:

Q: y=ax2+bx+c

A:

Q: Which of the following equations is a quadratic equation? O 2x° = (2x2 – 1) (3x + 4) %3D O 14x (x…

A:

Q: Find a (real) general solution. y" + 2y' + 2y = 4e¯* sec³x

A:

Q: for which b-value will the foollowing quadratic equatiom have roota x1=1 and x2=6;…

A: In this question , we have given that root of the equation so the root of the equation satisfy the…

Q: Use the zeros and the labeled point to write the quadratic function represented by the graph. (1, 4)…

A:

Q: Consider the following quadratics: Q1:x2+y2-5z2-9=0 Q2:x2+y2-8z2=0 Calculate the distance of the set…

A: Given Q1:x2+y2-5z2-9=0Q2:x2+y2-8z2=0

Q: Determine the type of the quadrilateral of this equation, for every a belongs to Real numbers 2x² -…

A:

Q: Find the X and Y intercepts of  y= 1 - the square root of 1 -x2

A: Given,

Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has…

A:

Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has…

A: In this question, we find the coefficient of the quadratic function and check the function is…

Q: Q4/Find x and y that make the equations equal to zero: 5x+2y-4=0 6x+8y-2=0

A:

Q: Q P 17. What is the standard form of the quadratic function y = (x + 2)² – 4? O y = x² + 4x + 8 O y…

A: This question is related to standard form of quadratic equation, We will solve it using given…

Q: Find the quadratic function y = ax + bx + c whose graph passes through the given points. (-1, - 11).…

A:

Q: Make a change of variable, x = Py, that transforms the quadratic form x? + 10xjx2 +x; into a…

A:

Q: Find all positive integer solutions to the equation 3x – xy – 2x + y + 9 = 0. -

A: Given,           3x2-xy-2x+y+9=0

Q: Solve for the zeros of the quadratic function f(x) = 9x2 + 6x + 1. Write the answer as a fraction.…

A:

Q: Convert the given quadratic equation to vertex form, i.e., y = a(x – h)² + k. y = x2 + 6x – 9

A:

Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has…

A:

Q: 3. Determine the x-intercept(s) of the quadratic function f(x) = x² + 10x + 26

A:

Q: a) Find the discriminant of y = 14x2 - 13x +7. %3D b) How many roots does the graph of y = 7x2 – 23x…

A: Given that, There are two equation following, (a). y = 14x2 - 13x + 7 (b). y = 7x2 - 23x + 4 In…

Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has…

A: The given equation is -2(x-4)2+1  This is in the general form and i.e. a(x-h)2+k  By comparing, a=2…

Q: Find a particular equation for the DE: y+4y'-2y= 2x -3x+6

A:

Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has…

A:

Q: Q: Discuss the nature of the quadratic form x'+4xy+6xz-y+2yz+4z

A: Given problem is :

Q: Classify the following quadratic forms: (a) 2x² + y² +22² - 2xy - 2yz (b) 3x² + 7y² +22² - 4xy - 4xz…

A: NOTE:-As per our guidelines we are supposed to answer only first question. Kindly repost other parts…

Q: Find all the zeros of the quadratic function. y=x¯+16x+64 If there is more than one zero, separate…

A:

Q: (m) A represents the quadratic form q(x, y) = x² + 4xy + y²; for what values of (x, y) = R², q(x, y)…

A:

Q: Use substitution to solve the syste –4x+3y -11 y = 3x-7 ||

A: This question is based on solving linear equation having two variables.

Q: dy 1. (y–1)(y² +1)

A:

Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has…

A: Write the given equation into more simplified form and find the coefficients a, b, and c. Then check…

Q: use the result to derive the quadratic splines and estimate the value at x = 5.0

A: The data given is as follows: i xi fxi 1 3 2.5 2 4.5 1 3 7 2.5 4 9 0.5 Three quadratic…

Q: Consider the Quadratic Function y + 6x – 8 - a. Coordinates of the vertex: b. Coordinates of the…

A:

Q: Compute the discriminant. Then determine the number and type of solutions of the given equation. x2…

A: The objective of the question is determine the discriminate , solutions of the given equation and…

Q: Which is the vertex form of the equation for the quadratic function y = 2x2 - 28x + 101? Oy = 2(x-…

A: The quadratic function y=2x2-28x+101, we have to find the vertex form of the equation for the given…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.