simplex method maximize x1 + 8x2 + 5x3 + 9x4 subject to x1 + x2 + x3 + x4 = 1 x1, x2, x3, x4 >= 0

Q: 12. Suppose f(x) = cosx - sinx and g(x) = cosx + sinx. Explain why the graph of (f × g)(x) is…

A: The function f(x)=cos(x)-sin(x) represents the product of two periodic functions: cos(x) and sin(x).…

Q: Another way to represent a paraboloid is s(x, y) = (x, y, bx^2 + by^2). Find s_x, s_y, and N(x, y).…

A: Given paraboloidS(x,y)=(x,y,bx2+by2)Then the partial derivatives with respect to…

Q: The Voronoi diagram for B , C and D is given below with a point K(6,4) that is to be added to the…

A: Write down the coordinates of each point:Since point K(6,4) lies in cell D, we will first construct…

Q: (a) Let a ≥ 2 be a real number. By considering appropriate trapeziums, show that In(a − 1) + In a 2…

A: We have to show that

Q: 17. Prove: S' is a closed set.

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Q: PPove this equation SYE - Yo + % SY + Yo equal this equation Z= 2 = 1 Ø.. +1 (ØYF Ø Yt You G Xo…

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Q: 1. Say whether or not each of the following is a linear program. If it is a linear program, then…

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Q: An energy company uses three different processes for generating electricity. One of the processes…

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Q: (1) Amelia Earhart learned to fly in a Curtiss JN-4 plane, affectionately known as the Jenny. The…

A: As the question contains multiple subpart according to the guidelines I only solve first 3 subpart.…

Q: Solve for the unknown using a method of your choice. a. 511x+23 = 1257x b. 2n = 123 C. 3x+5 + 3x =…

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Q: 4) Let ƒz = dƒ/əz and ƒz = 0ƒ/əz. Recall ƒ = u + iv, the notation f is used for the complex…

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Q: Prove that sin (50) sin (0) = 16cos (0) 12cos² (0) + 1, if 0 ±nn where n E Z

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Q: How many units per year must be sold with process A to have annual pre-tax profits of 42743 if the…

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Q: circular part is upward. It is full of water, and we have to pump it all out by a pipe that is…

A: We have to find the value of W

Q: xyz + xyz + xyz +xyz+xyz+xyz

A: The task requires minimizing a Boolean expression using a Karnaugh map. The expression involves…

Q: (b) Which of the following is the bicyclist's instantaneous speed, in mph, at t= - 1 hr? OB. 62 mph…

A: The following graph shows that the total distance  travel by a bicyclist after  hours.We need to…

Q: and 5. If verify that A(B+C) = AB + AC. 6. Find the inverse of A = B = 1 4 2 = [33] 0 6 -2 ܐ ܗ ܝܕ 3…

A: Given matrices:We have to verify that

Q: Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0)¯ ¹x₁ to find a…

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Q: A = [[a,b][c,d]] Assume ad-bc≠0   Show that A is row equivalent to the identity matrix (Hint: divide…

A: The objective of the question is to show that the given matrix A is row equivalent to the identity…

Q: 25 a) Σ²/23 (5j + 2)³j-7 j=23 do not simplify the sum = 39 b) 237(i – 14)²/(i +31) = do not simplify…

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Q: 2:2 + [3] x + 2 = [0] in Z6.

A: The solution given below with attached file.Explanation:

Q: Solve the system of linear equations exactly. Show your work. X₁ - 3x2 + 4x3 = -4 3x17x2 + 7x3 = -8…

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Q: A country's census lists the population of the country as 263 million in 1990, 286 million in 2000,…

A: p(x)=-3/100 x2 + 2x + 286 For 2020, (x = 20): p(20) = 314 For 2030, assuming that (x = 30): p(30) =…

Q: Show that f(z) = Re(z) = x is not differentiable at any z. W 20

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Q: Suppose A, B, and C are invertible nxn matrices. Show that ABC is also invertible by introducing a…

A: and are invertible matrices.We have to show that  is also invertible by introducing a matrix  such…

Q: Your answer MUST involve something about Farey sequences and a RIGOROUS proof. Do not copy and paste…

A: The objective of the question is to identify the set of numbers that are included in the set S based…

Q: 3. (a) Prove that the function f : R → R, ƒ(x) = 4x² −14x¹+30x-17, is injective. (b) Find the…

A: The answer to this question is given below.Explanation:

Q: Determine which differential equation corresponds to each phase line. You should be able to state…

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Q: Find the standard matrix of the linear transformation T: R² → R² such that T rotates points (about…

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Q: Let fx=2+1 and g(x) = x + 2 be functions from R to R. If fg(x)) = x2 + Ax+B and g(x))=x2+Cx+ D, then…

A: Since you have posted a multiple question according to guidelines I will solve first question for…

Q: The function that assigns to each pair of positive integers the first integer of the pair Domain: Z…

A: We need to find the domain and range of gven functions.Given that .We need to find  and .

Q: 3. Write ū as a sum of vectors, one in the direction of and another orthoganal to a. 18 [4] -5 [3³]

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

Q: What if you were to square root both sides of this constraint. Wouldn't you get x1-x3>=4? Or is that…

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Q: Graph the equation y = 1.5 tan(2x 4T) + 2. Use the blue diamond to shift the raph horizontally and…

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Q: Let W be the fraction of the width of the moon illuminated (as we observe it) as a function of time…

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Q: Brightlin has 50 steel wheels in stock and needs 332 to complete an upcoming proj- ect. If Brightlin…

A: No of steel wheels in stock No of steel wheels required to complete the project Brightlin creates…

Q: For the real linear equation system Ax = b, which has a solution set v = [[1][0][1]], Would the…

A: The objective of the question is to determine if the solution set for the real linear equation…

Q: Identify the graph representing the function f(x) = [] from R to R. Multiple Choice O O 1 1 F 34

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

Q: Example5:- Solve "-2¹-3y=³e5cos(31) 3

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Q: An energy company uses three different processes for generating electricity. One of he processes…

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Q: 1. State the value of x after the staement if P(x) then x := 1 is executed, where P(x) is the…

A: The first question is asking for the value of x after the statement if P(x) then x := 1 is executed,…

Q: Please don't provide handwritten solution ....

A: To solve this problem, we can set up a system of equations based on the constraints and the…

Q: a. What's the impact of increasing an additional unit of resource 1 and 2 to the objective function.…

A: Given LP modelThe optimal solution is as follows:(x1=20)(x2=0)(Z=80)

Q: A coin is rigged so that the probability of heads is 5/7. The rigged coin is tossed 5 times. What is…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 2 1. If f(x) =- 2x + 7 and g(x) - x² - 2, then f(g(3)) is equal to a) -7 b) -3 c) -1 d) 7 2. Use the…

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Q: Community General Hospital finds itself treating many bicycle accident victims. Data from the last…

A: To calculate the exponentially smoothed forecast using the given data and the alpha value of 0.31,…

Q: Ex 9.5: Prove: if f(z) is analytic and real on a domain √2, then I is a constant function.

A: A complex number is represented by  where x and y are real and imaginary part ofthe complex number.A…

Q: Consider a complete network formed by 5 nodes. Does this network have an Eulerian cycle? Yes No Does…

A: We use the definition of Eulerian cycle and Hamiltonian Cycle. Then try to contract a complete graph…

Q: For each of the following linear programs: (1) Sketch the feasible region of the linear program and…

A: Note: We will be solving (1b) and (2b) only as asked.Consider the given linear programming…

Q: Use Kruskal's algorithm to find a minimum spanning tree for the following graph in the figure. State…

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