Problem#8 Solve the following system of inequalities by graphing. y ≥ 10,000x² + x - 1000 y≤ 2x - 4

Q: Solve the system dx =x-2y; x(0)=-1 dt dy = 3x-4y; y(0) = 2 dt

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Q: - 4D +8 D² -11D+3) y = x² 2X + cos2x + e²

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. she has seen a bag containing 3…

A: The bag contains:3 red marbles.2 green marbles.4 white marbles.1 purple marble. Suzan grabs 8…

Q: 5 = { [²] [3²] [37] 3 a) Determine if S = is an orthogonal set. b) True or False. If A = ²24 then A…

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Q: aight wide. Electric power for the house must come from a power station on the opposite side of the…

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Q: Where does the helix r(t) = (cos(nt), sin(t), t) intersect the paraboloid z = x² + y²? (x, y, z) =…

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Q: 12) Given a₁ = 243 and ax+1=²ak. a) Write the first 5 terms of the sequence. b) What type of…

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Q: Find the location of the maxima, minima, and saddle points of f(x,y), if any, given the partial…

A: In this question we can find the local maxima and minima and saddle point .

Q: A city has seven fire districts and 585 firefighters. The number of firefighters assigned to each…

A: Total Firefighters= 585                                 District 1 2 3 4 5 6 7 Total…

Q: Sketch a graph of the function sin(x + 45°) - 6. Please state the rang

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Q: We know that y₁(x) = e³ª sin(14x) is a solution to the differential equation y" — vy' + zujy - U for…

A: (a)  Given that  y1x = e3x sin14x is a solution of the differential equation…

Q: Solve the following differential equation y"-2y+y=et-²

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Q: 6. Let f(x)= log₂ (x-1)-3 (i) What is the domain of f(x)? (ii) Find the zero of f(x).

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

Q: Find the Saplace transform of f(t)=sin(3t) cos(3t) by using the properties and table of the aplace…

A: Given f(t)=sin(3t) cos(3t)   Using the formula: sin(2x)=2sin(x)cos(x) Laplace transform: L{c f(t)}=c…

Q: Remove recessive rows and columns; then solve using geometric linear programming techniques. P =…

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Q: 4. Let G = (V, E) and G' = (V', E') be simple graphs. We say that a graph G is homomorphic to a…

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Q: How many ternary ( 0,1,2) sequences of length 10 are there without any pair of consecutive digits…

A: We see, we can start the desired ternary sequences with any of the 3 digits (0, 1 or 2).    Now, for…

Q: Find 2 linear independent solutions of the Bessel equation: x²y" + xy' + (x² −25)y = 0

A: The solution of the Bessel's differential equatin x2y11+xy1+(x2-n2)y=0 is y=AJn(x)+BYn(x) when n is…

Q: (A) Using slack variables, determine the initial system for the linear programming problem. (B)…

A: The LPP is: Maximize P=30x1+x2Subject to:4x1+x2≤20x1+8x2≤20x1, x2≥0 To Do:We have to solve using the…

Q: ) Use the Chinese Remainder Theorem to find all solutions be- tween 0 and 1000 satisfying the…

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Q: In the graph shown, the outer blocks are 1000-by-1000 ft, and the middle blocks are 1000-by-4100 ft.…

A: Outer edges are of 1000ft by1000 ft. There are four outer blocks with 1000 ft by 1000 ft and 2-2…

Q: Find the volume of the solid whose base is the triangle with vertices (0,0), (5,0), and (0, 2), and…

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Q: Find the parametric form of the equation of the plane passing through the points (1, 3, −1), (2, 2,…

A: Points :1, 3, -1, 2, 2, 3, and -1, 1, 1

Q: 4. Solve the non-homogeneous systems of ODEs x' = Ax+f(t), with x(a) = xa using the given matrix…

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Q: Solve using the Simplex Mathod The Marketing Club at your college has decided to raise funds by…

A: Mathematical club selling three T-shirts. The cost of ordinary, fancy, and very fancy T-shirts is…

Q: Your college newspaper, The Collegiate Investigator, has fixed production costs of $74 per edition…

A: Fixed cost is $74 per edition. Variable cost is $0.42 per copy. Collegiate sells it for $0.62 per…

Q: A company makes three types of candy and packages them in three assortments. Assortment I contains 4…

A: Let x represents the number of boxes of Assortment I. Let y represents the number of boxes of…

Q: The Acme Widget Company has found that if widgets are priced at $ 212, then 46000 will be sold. They…

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Q: An auto insurance company classifies its customers in three categories: poor, satisfactory, and…

A: Eeach year, 30%0.30 of those in the poor category(1) are moved to satisfactory(2), and the remaining…

Q: 1. Convert each measure. a) 8 ft. 6 in. to the nearest centimetre. b) 300 g to the nearest ounce.

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Q: Write the scalar equation of the line with normal vector = [3, 4] and x-intercept 5. OA) 3x+4y+5=0 O…

A: Let r→=(x,y) be a general point on the line. It is given that the has x intercept 5. This means that…

Q: Recently, More Money 4U offered an annuity that pays 6.3% compounded monthly. If $1,109 is deposited…

A: We have to find the future value and interest for given monthly payment.

Q: You have inherited $10,000 just prior to a presidential election and wish to invest it in solar…

A: On setting the equation and this equation will maximize your gain no matter who…

Q: the monthly loan payment is 218.65 suppose you receive a 10 year unsubsidized student loan of 19,000…

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Q: A cylindrical tank in a vertical position with a diameter D = 2 m and a height h = 10 m is initially…

A: According to Torricelli's law, the vertical distance between the liquid's surface and the opening's…

Q: Solve the linear programming problem using the simplex method. P=20x₁ + 72x2 Maximize Subject to x₁…

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Q: In this question, you are asked to find the solution u(x, y) that satisfies the partial differential…

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Q: Evaluate I = f(sin x + 2y) dx + (7x + y) dy for the nonclosed path ABCD in the figure. D I = 54 A C…

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Q: =) Evaluate the following determinants. Show your work. Check your work. a) c) 1 -1 2 3 0 1 -1 2 ol…

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Q: 5. F(x, y, z)= xyz i + xy j + x²yz k, S consists of the top and the four sides (but not the bottom)…

A: We have to find ∫∫curlFds using stokes theorem  The procedure is given below

Q: Solve the linear programming problem to the right by applying Minimize C = 14x₁ +42x2 the simplex…

A: Objective Function: Minimize: C = 14X1 + 42X2 Subject to: 2X1 + 1X2 ≥ 12 1X1 + 1X2 ≥ 8 1X1 + 2X2 ≥…

Q: In a class of students, the following data table summarizes how many students have a cat or a dog.…

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Q: 7.Represent the following images by quantitative vectors and compute the distances between them…

A: Vectors means that which contains both magnitude as well as the direction also is known as the…

Q: A solar system consisting of five planets has a governing council of 135 members who are apportioned…

A: Given: The population for each planet is given by, Planet Ajax Borax Calax Delphi Eljix Total…

Q: Solve the following problem. n=21; i = 0.034; PMT= $238; PV = ? PV=$ (Round to two decimal places.)…

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: Given L.P.P  Maximize p=x+2y            x+5y≤21          4x+y≤8x≥0,y≥0 The feasible region of given…

Q: 3 4) f(2)=2²³ +2² (xtiy)² + 2i 3 x²y³²x³²+(y) ³+ 3x² (13) +3[iy)² x + 2i (x² iy²³ + 3x²iy (3y²x + Zi…

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Q: Solve the linear programming problem using the simplex method. P=40x₁ + 120x2 Maximize Subject to X₁…

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Q: Most railroad cars are owned by individual railroad companies. When a car leaves its home railroad's…

A: Let state 1 denote car is on the home trackage and state 2 denote is on the national pool.

Q: Use Euler's method with step size 0.5 to compute the approximate y-values y₁ ≈ y(0.5), y2≈ y(1), y3…

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