Consider the mathematical program below for the remaining questions: max 18x1 + 22x2 + 7x3 +14x4 +9x5 s.t. 3x14x2 + 2x3 - 3x4 + x5 ≤ −2 x1, x2, x3, x4, x5 = {0, 1}

Q: (5) Consider the differential equation x²y" - (x² +2.c)y' + (x + 2) y = x³. Verify that y₁ = r is…

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Q: Question 5. Let A = {0,1} and B = {1,2}. Find: (a) (A x B) U (B x B) (b) P(A) \ P(B).

A: For the given set A and Ba.) (A×B)∪(B×A)={(0, 1),(0, 2),(1, 0),(1, 1),(1, 2),(2, 0),(2, 1)} b.)…

Q: 3 If xyz + z³ = 0, then Oz/ax is yz xy + 32² yz xy +32² Oxy+3z² yz xy +3z² yz O None of the above

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Q: The estimated resale value R (in dollars) of a company car after t years is given by R(t) = 24,319…

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Q: Question 2.1. Show that the following sequences are convergent. (i). Let p > 0. {} (ii). 2.2.…

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Q: Find the order and degree of the differential equation:- d³y d4y dy + dx3 = 6xy dx4 dx .

A: Please refer below pages.If you have any doubts please feel free to ask.Explanation:Step 1:

Q: Given the complex numbers find the real and imaginary parts of the complex number Re() = Im (끎)= = L…

A: The objective of this question is to identify the real and imaginary parts of the given complex…

Q: pls answer this three question with solution thank you

A: 1. 38.36o2. 5 roots3. 40Explanation:1. To find the principal argument of (−2+j)41​, we first need to…

Q: Suppose x, pЄ Z such that p is prime. If 5401 (mod p) 740 = 1 (mod p) find the least positive…

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Q: 1. (x+y)y'=1 {ln|x+y+1|=y+c}

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Q: 3. For each of the following pairs of ordered bases ẞ and ẞ' for P2(R), find the change of…

A: To find the change of coordinates matrix from a basis β′ to β for the vector space VThe identity…

Q: The neutron diffusion equation with a (plane) source at x = 0 is d² f(x) dx² · + w² f(x) = Q(x)…

A: Final answer:(A): The equation is satisfied by F(k) is:F(k)=Q/w^2-k^2(B): The solution for F(k)…

Q: Suppose that a firm had a production function given by: q=2L0.5K0.25. The rental rate for the firm…

A: The production function is :Solve the optimization problem condition for K.

Q: (3.) Compute the Wronskian of y₁ (x) determine whether they are linearly independent. = 3e cos x and…

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Q: Find a combinatoric proof of the following identity. n n 2n Σ(0) (-)-() i=0 n

A: Given Information:The identity is given as .Objective:Prove the given identity with the help of…

Q: 4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function h(t) =…

A: The graphic representation of the given information is:This means that the Ferris wheel takes 40…

Q: Using Fermat's little theorem, find the least residue of modulo 389. (Note that 389 is prime.) Type…

A: By Fermat's little theorem,      If p is a prime, and a is any integer, then          ap  a (mod p)…

Q: Problem #3: Find the maximum of f(x, y) = 23 In(13x7y7) + 12 subject to x² + y² = 25, x > 0, y > 0.

A: We will find the maximum value.

Q: 18 dx 2x + x√x S

A: The objective of the question is to find the integral of the function 18(2x + x√x) with respect to…

Q: 1. Show that if x is a real number and m is an integer, then [x+m] = [x] + m 2. Draw the graph of…

A: first image is for Q2 and second image is for Q1Explanation:

Q: 4. A metal fabrication shop has a single punch press. There are currently three parts that the shop…

A: Given dataPartAnnual Demand Set Up Cost Cost (per Unit)Production…

Q: Please don't provide hand writtin solution....

A: C = 210 at(x1​=5)and(x2​=10).Explanation:Step-1:Formulate the dual problem based on the given primal…

Q: what is written after 2xy - 2sin(y) in part i.

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Q: Let Find A-¹ and use it to solve where where x₁ = -24 and 2 -0 = A = 4 -3 4 4 AX = B B = (²3) X = -…

A: We see,        So, Determinant of A = |A| = 4×4 - (-3)×4                                        = 16…

Q: 0.1.9. Find a group G, with subgroups H and K, such that H◄K, K◄G, but H not normal in G.

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Q: 9 Find a Pythagorean triple in the manner of the Babylonians using v+u= +u= √√√, v−u = g⋅ 9

A: A Pythagorean triple means three positive integers a,b,c such that To make such a triple, pick three…

Q: Manvir invested $1,600 at the beginning of every 6 months in an RRSP for 11 years. For the first 8…

A: Part a) =$31,229.59 Part b)= $48,332.54 Part c)= $13,132.54Explanation:Part a)Future value of…

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

A: The characteristics given are:1. Vertical asymptotes at x=−3 and x=−1.2. x-intercepts at (1,0) and…

Q: For the graph G below, compute x(G) and find a x(G)-critical subgraph.

A: Given Information:The graph is given as follows: (Name the vertices with numerical…

Q: For the ODE xy" - 2y + 9x5y = 0, what is the resulting ODE for y(t) under the change of variables t…

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Q: Let F = xyi - zk and S be the cone z = √√√x² + y² , 0 ≤ Z ≤ 1. Evaluate the surface integral F*ndS…

A: Given surface is z=x2+y2  ,  0≤z≤1A parametrization of this surfacer→(u,v)=(ucos⁡v)i→+(usin⁡v)j→+uk→…

Q: The following function T : R³ → R³ is a linear transformation. (a) Find a matrix A € R³×³ so that…

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Q: デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT SOLVE BY SUBSTITUTION d) dy dx = 3x+2y 3x…

A: The objective of the question is to solve the given first order linear differential equation using…

Q: 8. Carrot the Cat Carrot the cat likes taking naps in one of four locations: the rug, the bed, the…

A: Carrot has the following conditions:• He will not sleep in the sink twice in a row• He will sleep on…

Q: A certain kind of a ceramic tile has the form of a 4 × 4 board. Each of the 16 squares is colored…

A: Given:A certain kind of a ceramic tile has the form of a 4 × 4 board. Each of the 16 squares is…

Q: Please answer me

A: The objective of the question is to find the value of x that satisfies the equation sin(x^3) =…

Q: Use Laplace transforms to solve the initial value problem y" + 4y cost, y(0) = 1, y'(0) = -1. You…

A: We have to solve the given problem by using Laplace transform.

Q: Find general solution. y" + 4y = 5 sec ² (2+)

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Q: Correct solution.

A: The objective of the question is two-fold. First, we need to verify that the set L is an affine…

Q: Tell me why this integral ∫ e^(ix) dx is mind blowing?

A: The integral  is fascinating because it connects complex numbers, exponential functions, and…

Q: Find a general solution of the given ODE: (a) y"-3y" +4y'-12y=30 cosx-16e²* (b) y"+2y"-y'-2y=14e*…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Suppose that there are three bidders descending-price procurement auction for heavy duty gas…

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Q: Using sexagesimal only, multiply 0;25,15,38 by 120.

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Q: Find the half-range Fourier sine series expansion for the function f(x) = x(Lx), for 0 < x < L.…

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Q: turner video will invest $76,344 in a project. The firm's cost of capital is 10 percent. The…

A: Part (a):If the reinvestment assumption of net present value is used, the 10% required rate of…

Q: (x-y+2)² 1. y': (x+1)² y-ax-(1+α) · = c(x+1)√³‚a a = 3 + √ √ p = 3−√5 } B y-Bx-(1+B) 2 2

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Q: If f(x, y) is differentiable near (x,y) = (a, b), and u is any unit vector, consider the following…

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Q: 8. True or false: If f is analytic at each point of a closed contour I, then fr f(z) dz = 0. If true…

A: The objective of the question is to determine the validity of the statement: If a function f is…

Q: Number 6 (b and d only!)

A: We have to find the invertible matrix Q

Q: Needs Complete typed solution with 100 % accuracy.

A: The objective of the question is to identify the real and imaginary parts of the given complex…