Question 1. Find the roots of the linear equations using Cramer's Method 5X1 + 4X2 + X3 = 3.4 10X1 + 9X2 + 4X3 = 8.8 10X1 + 13X2 + 15X3 = 19.2

Q: Derive the Monge’s subsidiary equations.

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Q: If y = C1 + C2x +e2*(C3cosx + C4sinx), then the roots are

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Q: Which shows the correct substitution of the values a, b, and c from the equation 0 = - -3x2-2x + 6…

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Q: 3x: - 2x2 + 2x3 = 0 6. Solve *, + 2x2 – 3x3 4x1 + x2 + 2x3 = 0 = 0. by Cramer's rule

A: Given that  By solving the equations by cramers rule

Q: What is the solution to this quadratic: x2-6x +9 0 {3) {-3+3i/2, -3 – 3i/2} {-6+6i/2, -6 – 6i/2} {0,…

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Q: 8) Multiply: (2a-3)(5a + 1) a. 10a²-3 d. 10a²13a-3 b. 7a²-2 e. 10a²-6a-3 c. 7a²-5a-2

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Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: b. Express each equationin standard form 1. 12y2 – 4x2 – 16x + 72y + 44 = 0 2. x2 – 2y2 + 6x + 4y +…

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Q: Which equation has exactly one solution? CLEAR 6x +5-3x = -3x +5+6x 6x + 5 - 3x = 3x +5-3z 6x +10…

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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: Show that the equation Z+22³ +37² +4Z+ 5 = 0 has no root which is either purely real or purely…

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Q: Solve Using Gauss-Jordan -2x1 + x₂ + 6x3 = 18 - 5x1 + 0x2 + 8x3 = -16 3x1 + 2x2 - 10x3 = -3 x1: x2:…

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Q: 2x- 3x-2 6x + 3x? + 2x+1 2x- 3x-2 6x + 3x + 2x+1

A: Explanation of the answer is as follows

Q: Find the General Solution of (D² + 5DD' + 6D²)Z = 10 cos(x – y)

A: Given partial differential equation is D2+5DD'+6D'2Z=10cosx−y. We have to find the general solution…

Q: Show that the equation 3x+4y+5z=a, 4x+5y+6z=b and 5x+6y+7z=0 do not have a solution unless a+c=2b

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Q: 3x1 – 2x2 + 2x3 = 0 6. Solve *1 + 2x2 – 3xz = 0. by Cramer's rule 4x1 + x2 + 2xs = 0 -

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Q: 6. Find the limit of each, if possible. In x a. lim x→14x – x² - 3 cos x + 1 b. lim x→n (x-n)2 x3 c.…

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Q: What is the inverse of the function 2х + 1 f:R → R, f(x) ? 3.

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Q: 2x+3x₂-x₂ = 7 3. Use Cramer's rule to solve 3x, -5x₂ =4 x₁ + x₂ = 5

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Q: Use Cramer's rule and solve 6x-4z=26 7x+8y+5z=122 9x-9y=54

A: Use Cramer’srule and solve.

Q: Which pair of equations are inverses of each other A =v- (( - 4)-- 2 4+2, gx)%= *+2, gCr) =(x-2F+3…

A: f(x) = 1-x -5 y = 1-x - 5 y + 5 = 1-x Squaring both side , y+52 =1-x x =1- y+52

Q: 5X1 + 4X2 + X3 = 3.4 10X1 + 9X2 + 4X3 = 8.8 10X1 + 13X2 + 15X3 = 19.2 %3!

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Q: 5sin 20 – 16sin0+3=0

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Q: ind the roots of the linear equations using Crout's Method 5X1 + 4X2 + X3 = 3.4 10X1 + 9X2 +…

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Q: If a and B are the roots of the equation x² - 3x + 4 = 0, the equation whose roots are a? + a + 1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (у — сos-x)dx + cos x dy %3D 0

A: The given equation is y-cos2xdx+cosx dy=0 rewrite it as y-cos2x+cosx…

Q: Find a + b, 2a + 3b, a = 3i - 5j + 3k, b = 2j - k a+b= 2a + 3b = X X

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