ute a fundamental set of solutions tal set of solutions of the differentia

Q: A) Find all ordered pairs (a, b) such that matrix A is not invertible.\ B) Assume that the values…

A: Here given matrix is A=111a20b3-1,

Q: Dustin is trying to design a weapon to fight the Demogorgon. His model has three planes, and he…

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Q: pk Ph (x)=k! T(m-k+1) (k+m+1) m X \x X

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Q: 4. Use Gauss-Jordan elimination to solve: 2X₁ + X₂ X3 = 1 5X₁ + 2X₂ + 2X3 = -4 3X₁ + X₂ + X3 = 5…

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" - (2a -…

A: Given the differential equation y''-2α-15y'+α2-15α+50y=0 We have to find the valiue of α where All…

Q: Find solution of the following equation by the Gauss-Siedel method x₁ + x₂ + x₂=6 2x₁ - x₂ + x3 = 3…

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Q: let 2^k+1 be a prime number. prove that then k=0 or k=2^n for some n =0

A: We have given that , 2k+1  be a prime number . We need to prove that , k = 0  or  k = 2n When k = 0…

Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

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Q: 6) The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. Which…

A: Follow the steps/

Q: 5) L (4 4 sinh 3 2t +3 sinh 2tỷ

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Q: 3x₁2x₂ + x3 + 10 = 0 -x₁ + x₂ + 4x3 + 9 = 0 2x₁ + 2x₂x3 - 5 = 0 4x₁x₂ + 3x3 + 15 = 0 - --2x₁ + 3x₂ -…

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Q: No calculator or Desmos] Sketch the planar curve given the following parametric equations x(t) =…

A: Consider the given parametric equations, xt=cos2t compare with standard cosine equation…

Q: You must show all work! (You may check your answers using your graphing calculator.) = -[. 52 1 4 -2…

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Q: 2. Use ratio test to determine whether the following series is convergent or divergent: (2n)! Σ n.…

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Q: Plot the following and their normal vectors. |2x -2y + 2z = 15 3x - 3y + 3z = -13 Describe the…

A: Normal to the plane ax + by + cz =d is n→=a,b,c As angle between planes as angle between there…

Q: calculate y" at x=1 given the following y(0)=5. system y"=5xy'+2xy+5x+1. y'(0)=2

A: It is a numerical analysis problem and let us solve it in the next steps using Euler's method.

Q: A tank has pure water flowing into it at 10 liters/min. The contents of the tank are kept thoroughly…

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Q: let a be a nonempty compact subset of R and let B be a nonempty closed sub set of R such that A…

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Q: A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

A: the scalar equation of a plane with normal  vector n=(A,B,C) is  AX+BY+CZ+D=0

Q: Which of the following must be true in order to use the laws of logarithms in order to simplify…

A: Sol Log is written as :-logab So, in order to use law of logarithm , in order to simplify expression…

Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = e-¹²-y² for…

A: Given the function fx,y=e-x2-y2

Q: 1 1. The system of linear equations Dx=c, where D= 1 H we change c3 by 0.002 and d22by 0.001. has…

A: Sol

Q: dn Find a general formula for den by identifying a pattern in parts (a) through (c). To begin,…

A: We use the given details and differentiation formula to find answer

Q: Given that f(z)=z-ż where does f'(z) exist

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Q: ## Commpact subse regular Space X and if of is subset of A such that .cey th there is a closed a…

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Q: solve the following differential equation y''+5y'+4y=10e^-3x

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Q: 3 16 If 7 is an 7(2)= [ Rational irrational About Then entir what 1

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Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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Q: Evaluate the integral 00 [8 (t-7) 6 sin(t) dt

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Q: (a.V)a= Va²-ax (Vxa)

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Q: of am regulay space X and it subset of X such that cey them there is subset o a closed neighbourhood…

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Q: Q3: A: Solve the following differential equation Ỳ — (sinx) y = 2 sinx

A: Sol

Q: If matrix A is invertible, then A admits an LU (or LDU) factorization if and only if there are no…

A: Proposition Let be k*kmatrix. If can be reduced to row echelon form by Gaussian elimination without…

Q: 1. Solve by Gauss Elimination 6x + 3y+6z=30 2x+3y+32= 17 x+2y+2x=11 w+y+2=19

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Q: Compute the definite integral CT/4 0 5 sin² (3x) dx

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Q: Multiply and then simplify the following. a) (x + 1)(x+8) b) (y + 2)(y-7)

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 3. Given these data 1 2 3 5 7 8 3 6 1999 289 442 f(x) (b) Use Lagrange polynomials of order 1…

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Q: 2 y = 0.38 sin x-.49x²

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Q: [14] 2. Let D = 2 5 [36] 4 3 E = 5 6 69 a = B - {2} b = n Suppose now a vector z=0 satisfies D¹ z =…

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Q: 3 S ƒ ³√x² – 2x(x − 1) dx x2

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Q: find solutions accurate to within 10-5 for the following problems. i-e + 2 + 2 cosx-6=0 for 1 ≤x≤2 -…

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Q: MODELING WITH MATHEMATICS You and your friend are standing on the baseline of a basketball court.…

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Q: Solve the linear programming Maximize: P = x + 2y-z Verify your Solution Start: X2424 11252 -1 -2…

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Q: What I Can Do WRITTEN TASK For this week, you are required to answer this assessment tool for…

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Q: My first 30-year fixed mortgage was for $200,000 at 6.25%. Determine my monthly mortgage payments.

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Q: Consider the given isosceles triangle of base 12 and edges / side lengths x. If x is increasing at…

A: Given: Base of triangle =15in Side lengths x inches each Rate of change of sidesdxdt=4in/min=4in/min

Q: Find critcal points of the system and use the eigenvalues and eigenvectors to sketch an accurat…

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Q: xample: Solving Axb, Ux = c, and Rx = d 1x1 + 2x2 + 3x3 + 5x4 Ax=b is 2x₁ + 4x2 + 8x3 + 12x4 = 3x₁ +…

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Q: Let f: R" x R → R define as follows f(x,y) = a, then f is

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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