Given that a>5 and the equation ax -10x+c=0 has real root(s). What is the maximum value of integer c?

Q: 2. Find the Wronskian of: a. -2x³ + 12 2x³ + 12 b. C. 0 d. Undefined f₁=x4 f₂ = -x4 f3 = x² f4 = -x²

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Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

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Q: II. Solve the non-linear equation: 1.) x2 - xy + 2y2 = 16 x - y = 2

A: Since x - y = 2 => x= 2+ y Therefore  x^2 -xy + 2y^2 =16 becomes (2+y)^2 -(2+y)y + 2y^2 =16 =>…

Q: (a) Find the SVD form of the matrix [1.2 0.9 -4 A = 1.6 1.2 3 (b) Use the SVD to determine the…

A: Problem is solved using concept of SVD, eigenvalue and eigenvector.

Q: Let :Q-21 → be an epimorphism. Hand written plz a) Show that f(n)-n for every n e Z. b) Deduce that,…

A: Here f:ℚ→ℚ is an epimorphism. That is f is a surjective ring homomorphism from ℚ to  ℚ. Now we can…

Q: II. Solve the non-linear equation: 1.) x2 - xy + 2y2 = 16 x - y = 2

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Q: cos(2³) COS 2 sin 2 2 (A) z = 0) is a simple pole (B) z = 0 is a removable singularity (C) Resf(0) =…

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Q: In which of the following cases the set V together with the standard operation of addition and…

A: As per our company guidelines we are supposed to answer only one question first with its three…

Q: Let R be the region in the first quadrant bounded below by the parabola y = x² and above by the line…

A: We can solve this using given information

Q: iterated de the hyper

A: Volume enclosed by hyperboloid z=1+x22+y22 under the plane

Q: Some of the highest tides in the world occur in the Bay of Fundy on the Atlantic Coast of Canada. At…

A: Given  D(t)=6+7cos(0.503(t-6.75)) We must find the rate of change.... We will use derivative…

Q: 20 j ΣΣ (2k + 3) = j=5 k=0 = 2n+3 Σ (n + 5k)3 k=0 first step 2nd step final answer first step and

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Q: Estimate the absolute error in storing a quantity V = 804.03 on a computer using double precision…

A: Solution:- Relative error: Relative error = absolute error/ Real value for example: In a measurement…

Q: Eliminate the arbitrary constants A and B in the equation y = Acos5x + Bsin5x. O A.y" - 25y = 0 O…

A: Solution :  Options (B) is correct

Q: fx) 0< x< n n < x < 2n < +2 Interval: 0<x<2*

A: Given function is fx=xπ,          0&lt;x&lt;π−xπ+2,  0&lt;x&lt;2π. We have to find the Fourier…

Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

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Q: Suggest at least 3 ways that parametric equation of a plane can be helpful to visualize vectors in a…

A: Let me tell you different ways of visualization of vectors followed by an example.

Q: (a) Given A = use the Cayley-Hamilton theorem to find (1) A¹-3A6+ A¹+3A³-2A²+31 (ii) A¹, where k> 0…

A: (a) Given A=2011 To use the Cayley-Hamilton theorem to find (i). A7-3A6+A4+3A3-2A2+3I (ii) Ak, where…

Q: eigenvalues and eigenvectors a) Solve the following differential equations: x₁ = y1+3y2 y₂ = 4y1+5y2…

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Q: 1. Given that S² dx 1+x² = tan¹ x = = expand the integrand into a series and integrate term by term…

A: We have to expand the integrand into a series and integrate term by term obtaining result which is…

Q: For every nonempty set A, there exists a relation R which is both an equivalence relation and a…

A: A relation R is said to be equivalence relation if R is Reflexive ,Symmetric and Transitive . R is…

Q: 11. Determine the general solution of y" + y = tanx using variation of parameters a. y = C₁xsinx +…

A: We have to use Variation of Parameters to solve the differential equation. y'' + y = tan  x

Q: 20. Marta purchased a sweater for $15.67, a pair of socks for $2.13, and a bracelet for $6.78. For…

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Q: 6. Evaluate the line integral ² dr+z²y dy where C' is the rectangle with vertices (0,0), (5,0),…

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Q: 21 (AUC)n(BUC) 22 A-B B (((ANB)U(CNB))u(ANC))-((ANB)NC) 23

A: The union of two sets A and B , denoted by A∪B  is the set of all elements which are either in A or…

Q: A feedback control system modelled by the differential equation * + ax + kx = 0 is known to be…

A: Problem is solved using concept of Lyapunov Function.

Q: Let A = {1, 2, 3, 5, 6, 10, 15, 30} and define R on A by xRy if and only if x divides y. a. Find…

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Q: II. Minor and Cofactor 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 3 4 D = -3 2 3 9 3 2 6 8 ㅋ

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Q: QUESTION 1 It is given that the radius of the semicircle increases at the rate of 0.5 cms¹ when…

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Q: y"" - 3y" - y' + 3y = 0

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Q: equations (b) P Identify the surfaces of the following equations by converting them into in the…

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Q: 2x₁6x₂x3 = -38 Given the linear system -3x₁-x₂+7x3 = -34 -8x₁+x₂2x3 = -20 , determine the values of…

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Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

A: The region is

Q: Graph each function over the indicated interval. X Г

A: 1. (a) Given,                    y=5x;     -2, 2

Q: Find the general Solution of the following PDES • 3 Ux+2 - X 2 Uy , u(x,c) - че

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Q: Find the eigenvalues and corresponding eigenvectors for the matrix 8 -8 -2 A 4 -3 -2 3-4 1 Write…

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Q: Prove the following result using the definition of subspace: Let (V,+,.) be a vector space over…

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Q: show that V(x, y) = x 'f (2x+y) is the general Solution of X dv dx 2x dv ду = V

A: Let us consider the partial differential equation Pux+Quy=R Using the Legendre equation solve the…

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (2 x 1) (2 x 6)…

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Q: On what formula?

A: To determine: The formula required for any computation when a graph of a time series is given.

Q: Solve the initial value problem. 4 -4 4 y' = 3 -3 - 10 2 15 y, y(0) 1 = 16 14 6

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Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a if and only if the…

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Q: Evaluate: ²³²₁₁¹[z³(x + y)³] dz dy dx

A: Given, triple integral  J =∫-43∫-12∫01[ z3(x+y)3 ]dz dy dx

Q: Determine the values of r for which the differential equation y" - y = 0 has solutions of the form y…

A: Given differential equation is y''-y=0. We have to find r such that y=ert is solution of this…

Q: A third-order system is modelled by the state-space representation -2 -2 0 [10] x = 0 0 1x + 0 1u 0…

A: Here, we are given with third order system.

Q: A mass weighing 5 lb stretches a spring 9 in. If the mass is pushed upward, contracting the spring a…

A: Given information is weight  w = 5 lb And, mass m =wg =532  lb s2/ ft k= Fs 14 = 514 =20  lb/ft As,…

Q: 1. Consider the ordinary differential equation = (1-x-¹)y, with the initial values x = 1, y = 1.…

A: According to rule of bartleby we can solve only first question or 3 subquestions of first question…

Q: from t = 7 to t = 9. X || 5 y = 5 ln((t/6)2 – 1) -

A: Given function is x=56t and y=5lnt62−1. We have to find the length of the curve defined by the…

Q: A. Sequences 1. Given that a2 = 6 and a€ = 96 are terms of a geometric sequence, find a4. 2. Given…

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Q: By using the method of least squares, find the best line through the points: (−2,−1), (0,−2),…

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