the shabilty of the following systems (Consider Hhe quadrake form as lya punov system.) Ms. *- X-x (1-x-) * = , (1-) a) (9 * - -(*+)(-)

Q: x² + y2 +30x10y +249 = 0 O(x+15)² + (y-5)² = 49 O(x+15)² + (y- 5)² = 1 O(x+15)² + (y- 5)² = 9…

A: We use completing square method

Q: 2y-(4y+3)>6y+3(y+4)

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Q: Is there a real number x such that x = 2-x? Decide by displaying graphically the system

A: Consider the equation: x=2-x. Is there a real number x satisfying the equation.   If the graphs of…

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: Quelu ate each eocpression 17 19 C-2)4 21 (-3)5 23-2x34 each eapression 25 -2x5A 12-3 -4(9-8+ C-7)…

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Q: 5. (06.03) How can X+8 be set up as a system of equations? X - 4

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

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

Q: * Let z1 = 2 + i and z2 = 5 + 2 i. Find 3 z1/ ( z1 - z2) - (12/ 10 ) - (3/10)i O (1/10 ) + ( 3/10) i…

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Q: 2. (3x+5)+(2x – 3)

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Q: Solve the system 21 12 23 || -10 1 0 -9 -10 1 0 +s 0 1 0 1 +t 1 0 4x1 -3x2 -I1 +12 -212 +3x2 3x1…

A: The given system of linear equation…

Q: Solve the system 21 X2 = I3 X4 4x₁5x₂ + 3x3 +3x4 +₂ +3x3 +2x4 3x₁4x2 +6x3 +5x4 -2x₁ +2x₂ +63 +4x4…

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Q: use the given inverse to solve system of linear equahons (A) 3 -4 -5 1 O Tx, t 4x2 = 5 5x1 + 3x2 =2…

A: We are using the fact that for system AX=b if A is an invertible square matrix then solution of the…

Q: Let Y denote a random variable with the following cumulative distribution function. if y 1. F(y) =…

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Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: Evaluate 36e dz, where C'is the polygonal path Oto consisting of the line segments from z = 0to z =…

A: The given integral is                                       ∫C36ezdz,  where C is the polynomial…

Q: x² + ax - 2bx - 2ab – x - 2ax2 - 2bx2 dx x* + ax² – 2bx2 - 2abx

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Q: expand (x+y)6

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Q: Find the nullspace of the system {4x1 – 2x2 (2x1 X1 + 2x2 – x3 – 4x4 + x5 + 2x6 = 0 + 3x5 – x6 = 0.…

A: We have to find a basis for the null space, we form an augmented matrix by appending a column of…

Q: It is possible to write xk as a linear combination of Chebyshev's polynomials, for example %3D…

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Q: The slops of (-2,-2) and (2,1)

A: Topic:-  Geometry

Q: -2 +x2 x2 +x3 x3 +x4 -1 +x4 -8 +s x3 || ||

A: The given system of the equation can be written in the matrix form as below.…

Q: (8,-1)+(2,1)

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Q: Let u 7 and w compute -5 u + 9 v -4 w. %3D -5 u + 9 v -4 w Ouestion Help: M Message instructor O…

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Q: What is x and y? (3x + 2y, 4) = ( 6, 2x + 3y)

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Q: x = 4mod (8) x = 4mod(60) x = 5mod(13) Solve system of congruences.

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Q: Expand (x²n + 2x"y" + y2n)(x2n – 2x"y" + y2n)

A: To evaluate: x2n+2xnyn+y2nx2n-2xnyn+y2n We know that xm×xn = xm+n

Q: Evaluate tan³ (32)sec² (32)dr + C

A: