Solve the following LP problem using the simplex method. Minimize subject to 4x+2y+4: 26 x+2y+2:28 x+y+:25 C-1800z+2000y + 3200: r20, y 20, 20

Q: Let u₁ = -B-6 and U₂ = 1+ -1 + 2i Which of the following vectors are orthogonal to both u₁ and u₂?…

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Q: Check that the system Az = b with 0 0 A = 0 0 -3 0 1 and b=0 3 LO 0 is inconsistent (note the rank…

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Q: find the real solutions, if any, of the system.  y=x2  x2+y2=12

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Q: Prove that any unital irreducible R-module is cyclic. 2:3

A: Any unital irreducible R-module is cyclic.

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Q: 9. ; Find the inverse of the following matrix A by using the formula involving adj A (the transpose…

A: The given matrix is, A=20-20-20021. The inverse is obtained by using: A-1=adjAA. Where adjA is the…

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A: Integrals calculus

Q: 5. (Tricky) Solve the ODE y"+y'/x+w²y/x² = 0 by using the method of series expansions around the…

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Q: B- Find the car least squares polynomial approximation (of degree 1) to f(x) = 3x² - 2, on [1,2]

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Q: 1.Let’s consider: U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, V = {0, 2, 4, 6, 8}, D = {1, 3, 5, 7, 9}, P =…

A: Here given that    U={0,1,2,3,4,5,6,7,8,9}V={0,2,4,6,8}D={1,3,5,7,9}P={2,3,5,7} That means V is set…

Q: Use the substitution u=-3x+2y to solvethe differential equation (-3x+2y) y'= - 1. a) Clearly…

A: Given differential equation is: -3x+2yy'=-1. Let, -3x+2y=u. Differentiate both sides w.r.t. x.…

Q: ) Find the determinant of the matrix of the following matrix by using expansions along rows or (and)…

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Q: Use Stokes' theorem to calculate the line integral f (e² − y³) dx + (e¹ + x³) dy + e* dz, e² when…

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Q: 3. Consider the sequence {2+2} 7 lim n-con² + 4 +2=_ Definition of limit: (Substitute the given…

A: The limit is 2

Q: Q2. Consider the ODE Using u = y ¹, we get A) u' - xu = sin x B) u + 2xu = - 2 sin x C) u + xu = sin…

A: The given differential equation is       y’ - xy = y2sin x    . . . . . . . . . . . . (1)    Now, we…

Q: The system of linear equations: Select one: O a. None of the others O b. is an overdetermined…

A: A system is said to be overdetermined if number of equations are more than number of unknowns and…

Q: Problem 6. Suppose that there is a method which solves a differential equa- tion on an interval [a,…

A: The local truncation error is of order Ohn+1.A differential equation is solvable on an interval a, b…

Q: We know that if E is a measurable set, then each translate E + y of E is also measurable. How about…

A: If E is a measurable set, then each translate E+y of E is also measurable.

Q: Approximate Σ 2(-1)(n+3) n! n=1 Use |S - SN| ≤bN+1. (Use decimal notation. Give your answer to four…

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Q: 8 Σ n=2 (-1)" In n 1. Determine if the series is absolutely convergent. State which test you used,…

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Q: Onl page 2. Let T R2 R2 be a linear operator. If it is known that 5 2 T([H]) = [3] and T (A) - [3]…

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Q: By means of elementary row operations, find an invertible 3 × 3 matrix R such that RA= B where a+a…

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Q: Use Tayler series method to solve the initial value problem and find location error: ý=e³t - 2y,…

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Q: d) Find any critical points of f(x), determine the intervals on which f(x) is increasing or…

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Q: Q2:A- Use Runge-Kutta (second order) for two iterations to find the solution of the initial value…

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Q: 18 kn/m 1777 A 6m 54 kn/m T17 B

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Q: solve the equation using initial value and final value laplace theorem V(s) : = 100 (s + 3)…

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Q: Σ 2-2 (-1)" In n 1. Determine if the series is absolutely convergent. State which test you used, if…

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Q: . Find the pointwise limit of the sequence of functions defined on R by the following and determine…

A: As per the question we are given three sequence of functions and for each case we have to find the…

Q: Calculate the growth function my (n) for the following classes of classifiers: 1. The set of…

A: To calculate the growth function mH(n) for the set of classifiers on R that can be written as either…

Q: 0 Solve in Series the equation; 2x²y" + (2x²__x) y² +y=o. 11

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Q: Enter only the final answer in the space provided. No workings. Consider the following system of…

A: x-3y+z=42x-8y+8z=-2-6x+3y-15z=9

Q: 0 Solve in Series the equation 2x²y" + (2x²__x) y² +y=o. 11

A: The given problem is to find the series solution for the given differential equation. Given…

Q: Instructions: Please Do not use the matrix methods. Please show your calculations step by step on…

A: The equation of the line is given as       (x - 4)/2 = y/1 = (z + 1)/(-1)    Then, for any point on…

Q: 1. Solve the equation between 0 and 2π, 3 sin² (x) + sin(x) = 1 − 3 sin² (x)

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Q: Consider matrix A = (₁ (2) Answer: and vectors x = (-²2) and y = (¹). Calculate matrix B= (A - AT)2…

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Q: Find the solution to the following linear, homogeneous recurrence with constant coefficients: an =…

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Q: 3. For each linear operator T on V, find the minimal polynomial of T. (c) V = P2(R) and T( (x)) = -x…

A: Linear algebra

Q: initial value problem ly" — xy' + 3y = 0 subject to the initial condition y(0) = 3, y' (0) = 2.

A: The problem is second order homogeneous linear differential equation. y''-xy'+3y=0 with y(0)=3 and…

Q: Consider the function g(x) with the following property g(x) = g(x + h) for any real nur with a…

A: A real-valued continuous fuction with some propertoes is given.

Q: Let E ⊂ ℝ and y ∈ ℝ. Show that E is measurable iff E + y := {x + y : x ∈ E} is measurable. Give a…

A: E⊂ℝ, y⊂ℝ

Q: Using this table as needed, calculate the required information for the mortgage. (Round dollars to…

A: Amount Financed = $162,300 Interest Rate = 7.25% Term of Loan = 15 years

Q: 2. Suppose now we alter the game so that whenever Colin chooses "paper" the loser pays the winner 3…

A: In game theory, a Nash equilibrium occurs when each player in a game selects the optimum course of…

Q: 1. Find the eigenval 2 -1 (34) 2 a) b) (1¹). 0-2 • (-3). c) 0 d) ¹) (1-3). e) f) (74) -2 (34) bo…

A: Let us say A is an “n × n” matrix and λ is an eigenvalue of matrix A, then x, a non-zero vector, is…

Q: Q5:A-Show that the boundary-value problem has a unique solution: ý = ýsint+2ty, 0st<;, Y(0) = –03,…

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Q: Let Consider the complex inner product space C³ with the usual inner product (u, v) = ₁V₁ + U₂ V₂ +…

A: Inner products space

Q: 7. f(x, y, z) = 2x + 2y + z; x² + y² + z² = 9

A: 7. The given function fx, y, z=2x+2y+z subject to the constraints x2+y2+z2=9. We have to find the…

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Q: Flow rate, Q (m^3/s) defined as the integral *attached* in which A is the cross section *attached*.…

A: The given region is as follows which is the cross section of the region through which the fluid…

Q: A company is launching a new product. The production will be realized by a combination of young…

A: Given conditions: Maximum budget of the company is €1500. Information based on the hiring young…