Solve the follawing yetem using augmented ito Matrisc M! C + + 32=1 *+34-2= 3 + Z=7 2x+

Q: (2-1)

A:

Q: (a^2 + 1)(b^2 - 1)=c^2 + 3333 prove that it doesn't have an integer solution

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Q: s9-3x then y If y O 89-3x)4 25 O 819-3x)4 25 O 8(0-3x)4 O -24(9-3x)4 O 24(9-3x)4

A: The function is given by,

Q: 1.] x5 +x* – 2x3 + x + C 7 2.]x3 +x² – 4x + C 2 3.] –+ C x2

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Q: 7 Evaluate using Convolution theorem: L-¹{²(²+4)} 2

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Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

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Q: Proved Ax (BNC) = (AX B)n (AXC) %3D

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Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

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Q: S(3x + 5)e3*+5 dx D 1 e3x+5 3 (3x +4) + C 3x+5(3x + 6) + C B)e C) e3*-5 (3x + 6) + C D) e3*+5(3x –…

A: Using substitution method of integration & By parts rule

Q: а. (Vx)(3y)(x € S ^ y ES A x > y) b. (3!x)(х € S лх+2) c. (V)(x E SA (x <0 = x < -1)) С.

A: The given statements are a. ∀x∃yx∈S∧y∈S∧x&gt;y b. ∃!xx∈S∧x≠2 c. ∀x∈S∧x≤0⇒x≤-1 We have to find the…

Q: a. Without tables, show that -(p v (-p ^g)) a nd -p ^-q are logically equivalent.

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Q: 19) (x +2)4 – )2 +4 = 0 5(x+2,

A: (x+2)4-4(x+2)2-(x+2)2+4=0 (x+2)2((x+2)2-4)-((x+2)2-4)=0 (x+2)2=1,(x+2)2=4 x+2=+-1,x+2=+-2…

Q: True or false: If a,b,m are integers with m > 0 satisfying m|(a^2 − b^2), then m |(a −b). Justify…

A: Given Information: If a,b, and m are integers satisfying m|a2-b2. To check: m |(a −b) for any…

Q: (Зп+5 Find infimum of A |n E N} n+9

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Q: (p'- 10p + 20p+ 26) ÷ (p- 5) |

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Q: x८७)+ 1) dtx + ५ N25+।-6436

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Q: Any finite dimension vector space with dim(X) is equal to n is isomorphism with F dows but O True O…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (-3z? – 4z + 7) - (2z2 + 2z – 1) - (2z - 3z + 7) = -3z? +z - 1 O True False

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Q: Show the following for [im 11x|lp = 11x11.00 P-0 XER

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Q: Prove Vn € N, 1 1 + 1 2 + 1 3 + + 11 2n - 1 + 2n ≥1+ n 2

A: Let's prove the given inequality step by step:Base Case (n=1):11≥1+12This is true, as 11=1 and…

Q: Prove that AXB|=A²B² - (AB)².

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Q: If X is the smallest, or first of three consecutive even integers express the sum of all three…

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Q: 1- x**! 1- x n+1 6 (x # 1) r=0

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Q: iunmplicit depilatives TocA- 2 J t Ina (3x3 -x)(3a - 2)

A: We have to find

Q: 2 [[t+²2] ² Evaluate Lt+ :

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Q: Prove that m^3 + 2n^2 =36 has no solution in positive integers.

A: Prove that  there is no solution for positive integers.Let if for for

Q: The sentence (3x) (x ≥ 0 ^ x ≤ 0) (the universe is R) translates into an English sentence as "There…

A: For a given statement i.e. There exists a real number which is both non negative and non positive,…

Q: п(п + 1) Show that , k 2 k=1

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Q: termine k such kx2  _ 4x + 1/2 + 0 that has real and different solution

A: To determine the value of k such that the below equation has real and different solutions.…

Q: Draw the circuit which represents the Boolean function: (ii) (p : ) (p,apa (P3 v P

A: We know the logic gate for ^(AND) and for v(OR). Then using these two gates we draw the final…

Q: c) 2x, +8X2 -Х3 +9х4 =9 X, +3X2 -2х3 +5 Хи 3X, +5Х2 - 12Х3 +17Х4 = 7 че

A: The given system of linear equations…

Q: x + 4 dx 9 – (x + 1)2 Ans:-In + C 9 – (x + 1)²|

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Q: 9) 2xy2 - (2xy)2 h) b?(b³)² +3b*(b²)2 – (b² - 2b)²b² (4x³y²z}* i)

A: We have to simplify the given expressions.

Q: (-5) + 4 – 1+ 4- (-21) * (-7)) ova

A: Simplification

Q: Which of the followings are true (false) in the set of real numbers? A) (Vx) (y) (x+y=10) B) (3x)…

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Q: . What is the domain of v15z -3r? State your answers in interval notation.

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.