Calculate the moment of inertia lz of the box W = [ -a, a] x [-a, a] x [O, H] assuming that W has total mass M.

Q: Find the Banzhaf power distribution of the weighted voting system [33: 18, 16, 15, 2]

A: Sol:- To find the Banzhaf power distribution of a weighted voting system, we need to determine the…

Q: Question 2 PETRINIDAD, an oil refinery, refines crude oil into petrol. The refinery uses two types…

A: We will construct a linear programming problem according to the given informations.

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A: Sol:- We are given that F is a counterclockwise rotation with angle pi/3. The transformation matrix…

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Q: 2.3.5. Find the interval satisfying each inequality : (a) 3≤2x-5≤7, (b) -8≤4-3x≤7, 2.3.6. Rewrite…

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Q: Underline the domain. Then write the negation of the following There is some integer n so that √n is…

A: We will have to write negation of the following statements: (i) There is some integer n so that n is…

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

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Q: Maximize p = 2x + 3y subject to 3x + 8y ≤ 37 6x + 4y ≤ 32 x ≥ 0, y ≥ 0. P = (x, y) =

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Q: Solve the initial value problem for t > 0, 0 < z < L, where a, v and K are constants: ut = Kuzz +…

A: Sol:- We are given the initial value problem: ut = Kuzz + ve^(−at) sin (πz/L) u(0,t) = 0 u(L,t) = 0…

Q: Each of the following. 4. Solve the compound inequality. Clearly graph your final solution on the…

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Q: lem 15. Consider the vector space M2.2 of 2 x 2-matrices over the real numbers. Let W be the pace of…

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Q: A retail chain will buy 700 cordless phones if the price is $40 each and 100 if the price is $70 A…

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Q: A tank initially contains 60 gal of pure water. Brine containing 3 lb of salt per gallon enters the…

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Q: Let f (x, y, z) = xz cos(y). Find the directional derivative of fat (1, 0, 2) in the direction of…

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Q: Suppose that f(x, y) = x³y². Find the directional derivative of f(x, y) in the direction of (-3, 1)…

A: Given that the vector fieldfx,y=x3y2 The directional vector u→=-3,1The point  -2,2    .

Q: 4. Find the power set of the following set: {1,2,0}

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Q: Express the equation of an ellipse in standard form. Determine the values of a,b,c, the length and…

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Q: Question 5: Given the function f: [-2, ∞) x R-Rx [-5, ∞) given by f(x, y) = (y³-4+5x, x² + 4x-1)…

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Q: A graph of a population of yeast cells in a new laboratory culture as a function of time from t = 0…

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Q: Consider a system model given by d²x (1) dt² +3- +x(t)=2- dx (1) dt x (0)=0 dx (t) dt 2- t=0 What is…

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Q: 27 20 Y()=0, YOX=5 Use laplace transform to Solve the initial value problem: y" +9y=68 (+-5) y (0) =…

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Q: Q2. Suppose we wish to test the hypothesis H₁ :u=15; H₁:15 where we know that σ² = 9.0. If the true…

A: Sol:- To solve this problem, we first need to determine the rejection region and the corresponding…

Q: Maximize p = 2x + y subject to x + 2y < 9 -x + y ≤ 8 x + y ≤ 8 x ≥ 0, y ≥ 0. p = (x, y) =

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Q: Let X be a discrete random variable that takes on the values -2, 3, 4, 5, 6, 7 with respective…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: For an implicit surface determined by the implicit relation function F (x, y, z) = 0, it is known…

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Q: Consider the weighted voting system [17: 13, 9, 5, 2].  In the sequential coalition  which player is…

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Q: -8. -[-2]. (a) Give an example of three vectors that are linear combinations of v₁ and v2. Problem…

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Q: 1/2 -1/4 P C.R. d. S e. T= 0 amplitude 11/4 11/2 3m/4 period 11 R 5m/4 611/2 Manipulate the graph so…

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Q: Exercise: Let A = 1 2 L-1 2 5 5 9 3 -10. (a) Give an example of a vector u E R³ such that u E…

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Q: Point (-3, 9) is on the terminal arm of angle 0 in standard position. Sketch the angle. What is the…

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Q: 1: Let F: R² R² be the counterclockwise rotation with angle π/3, Which of the following applies?. A)…

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Q: ID is the number 01238586, then as an array of single-digit integers. For example, if your Consider…

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Q: 4. Consider the following table where a source 5 with 4 symbols has been encoded in binary codes…

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Q: (b) Let 100] 0100 001 1 0001 Explain whether J₁ and J₂ are similar. J₁ = and J₂ = [t00 0110 001 1…

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Q: Show that X is complete if and only if every absolutely convergent series in X converges.

A: To Show : X is complete if and only if every absolute convergent series in X converges.

Q: The linear transformation f: R² R² associated to the matrix O 1. a rotation by an angle π/2 around…

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Q: The conical helix C parametrised by F(t) = is shown in the preview below. 15 Use commands from…

A: r→t=tcost,tsint,t

Q: Consider the weighted voting system [q: 7, 3, 1] Which values of q result in a dictator (list all…

A: The weighted voting system is defined as it consists of a number of players, each having a certain…

Q: Minimize c = 9x + 9y subject to x + 2y 2 14 2x + y 2 14 x ≥ 0, y ≥ 0. C = (x, y) =

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Q: A circle with center at the origin and radius equal to a meets the axis of x at A and B. P(a) and…

A: The coordinates of A are (-a,0) and that of P are (a cos α,a sin α)  Therefore,the equation of AP…

Q: Problem 5. A 2-error correcting code must have Hamming distance at least 5.

A: This statement is true.   A code with 2-error correction capability is a code that can detect and…

Q: (d) T or F. If A is an m x n such that every column has a pivot position, then the columns of A span…

A: We have to check whether the given statement is true or False. (d) If A is an m×n such that every…

Q: B. From the particular solution indicated, obtain the value of y and the value of y' at x = 2. Don't…

A: We can find particular solution.

Q: The global queen is deeply concerned about the birth rate in the new post-apocalyptic society. As a…

A: Sol:- Rational Solution: Assuming that the probability of having a boy or a girl during any…

Q: Suppose In = n² - n cos(nn) when n = N. Mark all of the statements that are true when working in the…

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Q: Use the definition of derivative: dx = lim h→0 f(x+h)-f(x)) h to find f'(x) for f(x) = 2x² - 10.

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Q: Consider the solid whose base is the region bounded by the x-axis, y = x, and y=-4x + 5. Find the…

A: Sol:- To find the volume of the solid using the given method, we can integrate the area of each…

Q: Find a plane through the points (-5,2,3), (-8,-6,2), (5,-5,-4) Question Help: Video

A: We can find plane .