Find the matrix of the quadratic form 2x1? + 3x22 – x3? – 4x1x2 + 2 x1x3 + 6x2x3 2 -1] 2 -2 1 (a) 2 3 3 (b) -2 3 3 -1 3 -1] 1 3 -1. 2 -2 -1 [2 2 1 (c) -2 3 3. (d) 3 -3 -1 3 -1 -3

Q: 4. Perform the following operations: a) (4x²+5x+3)+(3x²–2x+8) b) (3r² –7x+2)(5x²+4x-6) c)…

A:

Q: xp | %3D P O O d. dy -43xcsc(5x)[5cot(5x)– 3ln(4)] xp -43Xcsc(5x)[5cot(5x)+ 3In(4)] Oc. dy %3D xp |…

A: We have to find

Q: b15-スx2+ x 4x t.

A:

Q: Find the matrix of the quadratic form. Assume x is in R³. a. 2x² +8x² − 3x²3 - 10x₁ x₂ + 8x₁×3 −…

A: Concept

Q: 15-5a-3b+ab

A: The given expression is: 15-5a-3b+ab

Q: divide ex 1: (16p3+8p2+5p)+4p ex2: (5ox2+15x-35)+(1ox-7) ex3: (10x3+25x2+30x+10)+(10x+5)…

A: 1.) (16p3+8p2+5p) + 4p = 16p3+8p2+(5+4)p = 16p3+8p2+9p   2.) (5ox2+15x-35)+(1ox-7) = 50x2+(15+10)x…

Q: By-4.2x3y4)-3

A: 5. (2x4y2)/(2x-3y-4 . 2x3y4)-3 = (2x4y2)/(4x-3+3y-4+4)-3 = (2x4y2)/(4x0y0)-3 = (2x4y2)/(4)-3 = 43 .…

Q: l6x-5 x²2x-1o 1Əx²-x-6 ax-9 3x+4 12x2-29x+15

A:

Q: 2[6a-2a(3a+3b)+6a2]

A: The given expression is

Q: 2z2_2z+3=0

A:

Q: Perform the operations indicated. "G:)-(;3) (a) (2 5 -3) 4 -2 5) 3 2) (b) /-6 -2 -3 3 (2 5 -3 7) (c)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Expand (3x + y). Expand (x1 + 2x2 + 3x3)*.

A: 1. 3x2+y52. x1+2x2+3x34

Q: 6x + 8y = 3 (a) 3x – 10y = 5

A:

Q: find x and y if (2x+1,y)=(5x+4, -7)

A: Given: 2x+1,y=5x+4,-7

Q: 3y2-2y-5

A: Solve for factor

Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: Expand and simplify. (a) 4(x + 3) + 5(2x - 1) (b) (x + 3)(x- 5) (c) (2x – 1)(3x + 2) (d) (a – 2b)(a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (-4y2 - 3y + 8) - (2y2 - 6y - 2)

A: Consider the given function and simplify the given expression. −4y2−3y+8−2y2−6y−2 Remove the…

Q: 3x/x2+x-2 + 2/x2-4x+3

A: Consider the given expression 3x/x2+x-2 + 2/x2-4x+3

Q: 3y-5(3z-2y)-5z

A: This is from algebra... Expanding terms

Q: 3x -7 4x – 9x- 10 5x + 2x - 6 6y-9y + 4 Quadratic Cubic 23

A:

Q: 6x2y³ - 12xy³ + 9x2y2z 3xy(xy 2xy + 3xy) O3a2y(2y2 - 2y1 +3yz) 4y³ + 3xz) О3xУ2 (2ху O O6xy³ (2xy³ —…

A: .

Q: 7x-2(3-2x) = 7x-2(3)-2(2x)  = 7x-6-4x = 3x-6

A: The expression 7x - 2(3-2x).

Q: √4x²(x³-5)ª dx = Ox³(x¹² - 25x¹ +250x6 - 1250x³ +6250) + c 12 15 O 16(x³ - 5)4 + c ○(x³ - 5)5 + c…

A: To evaluate ∫4x2x3-54dx Formulae used d(xn)=nxn-1d(constant)=0∫xndx=xn+1n+1+c

Q: 2 -3 -2 2 -4 4 10 2

A: Number of columns in first matrix are 3 and number of rows in second matrix is 1. So, matrix…

Q: 1 (5x² – 3)5 (-4x5 – 3)7 --20x + (-4x5 - 3).5(5x3 - 3)* 15x2

A: Consider the expression  5x3−35⋅14−4x5−3−34⋅−20x4+−4x5−314⋅55x3−34⋅15x2

Q: 4(x+4)=3+4x

A: The given equation is

Q: 8(c-3d)-(3c+d)

A: The given expression is

Q: Simplify 6x4+9x³ – 12x² -3x²

A: Here we have Simplify the 6x4+9x3-12x2-3x2

Q: -12x²-4x+2 Find the discriminant

A: -12x2-4x+2 Comparing with ax2+bx+c, we get a=-12,  b=-4  &  c=2.

Q: 4(2x+5

A: 4(2x+5)=?

Q: Find the matrix of the quadratic form. Assume x is in R³. 2x+3x2-9x²3 - 10x₁x2 + 18x₁×3 - 12×2×3 a.

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.