Problem #2 Use the graphical method to solve: 2x₁6x₂-18 -X₁ + 8x₂ = 40 Check your results by substituting them back into the equations.

Q: determine the domain of f(x)=1 divided by X + 1

A: GivenWe have to find the domain of f(x)

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A: To find:The maximum flow The minimum cutConcept Used:The max flow problem is an optimization…

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Q: Use row reduction to find all solutions of the linear system of equations: 3x+y+z=2 2x2y+3z = 9…

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Q: 7- b) d) Which of the following double integrals gives the area of the region bounded by the curve…

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Q: Consider the sequence defined recursively by a₁ = 1, a2 = 2, an+1 = 2an-1-lan. We can use matrix…

A: Given thata1=1 and a2=2an+1=2an-1n-1anNow a3=2a2-1a1 now find M

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A: Let  be the number of suits sold.Let  be the number of gowns sold.It is given that the profit on a…

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Q: QUESTION 9 In how many years will the amount of P10,000 triple if invested at an interest rate of…

A: Invested amount P = 10,000Future amount (F) = 30,000rate (R) = 10%                 = 0.1

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Q: State the dual problem for the linear programming problem. Minimize w = 4y₁ +6y₂ + 5y3 +Y4 subject…

A: Here,  we have to write dual of given primal of a linear programming problem.

Q: Given = (3yz, 3zz + 3, 3xy + 2z), find a function f so that - Vƒ = f(x,y,z)= 3xyz + 3y +: Use your…

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Q: Given the inner product space (R³(R),+,.,-), where oy = 3x₁₁ + 2(x₂₁ + X₁3₂) + 3x₂y₂ + 2X3Y3, X =…

A: This is a problem related to inner product space. Please see the next step for details.

Q: Find the form of a particular solution of the following 2nd-order linear, non-homogeneous ODE, but…

A: The given differential equation .The objective is to find the form of the particular solution.

Q: Question 2 Jo₂² ry¹ ds where C is the right half of the circle x² + y² = 9 I Evaluate 14/07/2023…

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Q: pose: is the linear transformation defined in the figure below. The figure shows where 7 maps 8…

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Q: April wants to borrow $1000 from her father and is willing to pay $15 in interest. Her father wants…

A: We know that,                      Where,           I= simple interest         P= Principal…

Q: Solve the differential equation using method of undetermined coefficients: 6y"+y' + 2y = -3t²e-2t

A: Given:The differential equation is .To Find:The solution of the differential equation using the…

Q: a. 24 T r(5)г(7.25) C. ∞ b. et t'dt 1 dx -In(x)

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Q: Find √ 2² T²z ds, where C is the line segment from (0,-3,-1) to (0,3,3)

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Q: Maximize p = x + 3y subject to the following constraints. x – 4y ≤ 0 4x – y ≥ 0 x + y ≤ 10 x ≥ 0, y…

A: Given:The given LPP is,Maximize subject to                                                        To…

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Q: Find the general solution of the differential equation 4xy - 1+ (3y +2x²) d=0 O +³² + 2yz² = c…

A: We have to find the general solution of the given differential equation.

Q: A volume is described as follows: 1. the base is the region bounded by y = 2 - 2x² and y = 0 2.…

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Q: (a) lim n→∞ Calculate the following limits, or explain why they diverge. n sin n n² +2

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Q: 1. Let f(x) be a differentiable function at the point where x = a. Give a verbal description of each…

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Q: Let W be the subspace of R4 which is spanned by the vectors v₁ = (1, 0,-1,2), v2 = (2,0,0,2), V3 = =…

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Q: A causal linear and time-invariant (LTI) discrete system is described by: [Satu sistem diskret…

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Q: If a real first-order system defined by 1= Ax leads to complex eigenvalues r1,2 = a ±ßi in A, which…

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Q: Evaluate r² + y² { y'³dx – x³dy, where C' is the boundary of the region between the circles x² + y²…

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Q: 1 1 2x Let f(x) = ¹ +2 and g(x) = ²²-2 Solve the inequality f(x) > g(x) x-3 x²+x-2 algebraically.

A: Given:It is given that  and .To find:We have to solve the inequality  algebraically.

Q: find a PTLU factorization of the given matrix A.

A: To find  factorization of the given matrix A.

Q: 3. xy' + y² + y = 0

A: Aim: To solve the differential equation

Q: 2. A surveyor has estimated that a mountain is 2540 ft high. He also measures the angles of…

A: Given: A surveyor has estimated that a mountain is 2540 ft high.Angles of depression (from the top…

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Q: 37 -12-18] Let A = 117 0 P = -38 -54. Find an invertible matrix P and a diagonal matrix D such that…

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Q: Use Green's Theorem to evaluate 1.³ where F = (√x + 6y, 2x + √ÿ) C consists of the arc of the curve…

A: Given

Q: Given an ODE in the following form: M(x, y) da + N(x, y) dy = 0 we can use the definition of exact…

A: The given differential equation is .The objective is to find the condition that makes the equation…

Q: demonstrate the use of the method with reflections on the use of numerical methods, as described…

A: Given:The function is ,  and .To Find:The minimum for the function using the vectoral application of…

Q: Consider the vector field F = (6x + 4y, 4z + 2y). Is this vector field Conservative? Conservative…

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Q: 5. n=1 (-1)"+1 For this series, also find the sum accurately with an error less than .01, if it…

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Q: Find the numeral to put in the blank to make each equation true. Do 2 greater than 9.) a. 3413 five…

A: According to the given data, find the following:

Q: . Fourier Series following periodic functions at a given interval: C. Determine the Fourier Series…

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Q: Find the matrix representation of the linear transformation T(f(t)) = f(3t 2) from P2 to P2, where…

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Q: Given the second order initial value problem y" — 16y = 88(t – 3), y(0) = 2, y′(0) = 24 Let Y(s)…

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Q: 2. Evaluate 1₂ (15-3x) dA where R= [0, 5] x [0, 3], and sketch the corresponding solid region.

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