Let Ean and b, be series with non-negative terms. If a, 2 b, for all n >1 and Eb, converges, then a, converges

Q: Which one of the following equations has exactly one distinct solution? O (x-4)(x+ 4) = 0 O (2x +…

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Q: Derive the Monge’s subsidiary equations.

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Q: S 1 V1 + v 2

A: We have to find integral

Q: x + 2 A = r - 1 3 a + 3 4 a1.2 + a3.3 = 1 x =?

A: The entry of a matrix corresponding to the ith row and jth column is denoted as ai, j .

Q: x² + y² if x= V5 + V3 V5- 13 y= V5- 13 V5 + V3

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Q: 1 Explain if the point ( -2, 4) is a solution to the sytesm 3x + 4y = 10 and - 3x + y = 15 2

A: System of equations solution.

Q: 1 +1 x2 – 4 2x Solve: x + 2 A -1, -3 (в 1,3 © -1,4 D 1, -4

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Q: Show that the equation (1, 2, 3) × v = (−1, 2, a) has no solutionfor a = −1

A: Consider the given: Given equation:1,2,3×v=−1,2,aLet v=x,y,z1,2,3×v=ijk123xyz…

Q: Make a change of variable, x = Py. Give P and the new quadratic form. Q(x) = 4x² + 7x² + 4x₁x2 *…

A: A square matrix A of order m is said to be a symmetric matrix if…

Q: Solve the following linear equations 2x, +8x₂+2x₂ = 14 6x, +6x₂-x₂ = 13 2x₁ + x₂ + 2x, =S using…

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Q: Determine if b [3] 312 1 is a linear combination of a 1 = ------- 0 a2 1, and a3 = 2 6.

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Q: I think the solution for b is incorrect. Please can you confirm this.

A: Question b in the thread is  A parabola is the set of all points in a plane which are equidistant…

Q: What is an inconsistent equation? Give an example.

A: Inconsistent equation:            If a system has no solution, it is said to be inconsistent

Q: SET UP BUT DO NOT EVALUATE: integrals as specified to find the volume of the solid bounded by the…

A: a) The region bounded by all three surfaces is solid given to us See the sketch given below

Q: Which point is in the solution set for question 9? y≤-2x+5 3 y²-x-2

A: Given solution set is : I1 : y≤-2x+5I2 : y≥32x-2   To find the point that is there in the solution…

Q: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise  z= 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15 with…

Q: x +y+ 5z = 0 Solve 2х — у + z %3 0 %D a. (4, 6, –2) b. (-2t, 0, t) c. (-2t, -3t, t)

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Q: If  x3 + y3 = 30, x+y =6, then 1/x+1/y = ?

A: We need to find,

Q: the set of solutions of X2-X-6%3D0 is

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Q: Using false position method, what will be the value of Xm in a non-linear equation when you conduct…

A: Let's find.

Q: Find the solution to an=2an-1+an-2-2an-3 for n=3,4,5,...with a0=3, a1=6 and a2=0

A: Find the solution to an=2an-1+an-2-2an-3 for n=3,4,5,...with a0=3, a1=6 and a2=0

Q: (2x + x²y³)dx + (r³y² + 4y³)dy = 0 %3D

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Q: Solve the given equations by crammer's rule  2x - y = 17 3x + 5y = 6

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Q: Consider the initial value problem 1 ý, j(0) = -6 a. Find the eigenvalue A, an eigenvector i, and a…

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Q: Solve for x. 14) s - x-6 2r- 19 13 2r-18 13) M 23 4x-29

A: Simplification

Q: Solve y -x + 2y z = ++ W W 2z+ -Z + W 3z + 5w W 1242 2 4 = 2

A: To solve the equation.

Q: Find the solution to an=2an-1+an-2-2an-3 for n=3,4,5,...with a0=3, à1=6 and a2=0

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Q: Given that z²z+1=0, show that 2019 = -1.

A: Given that  z2 - z + 1 = 0 We are to show that z2019 = -1

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.