A previous random sample of 4000 U.S. citizens yielded 2250 who are in favor of gun control legislation. How many citizens would need to be sampled for a 90% confidence interval to estimate the true proportion within 1%? 6224 6766 7036 6660

Q: How large can a subset C = Z2 be, if d(u, v) ≥2 for all u ‡ v in C? Describe geometrically all the…

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Q: (a) y" - 4y + 4y = et (b) y" - 5y' +6y=e³t

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Q: 7. Define the sequence {un} by uo(t): =x0, Un+1 = xo + t f(s, un(s)) ds, n = 1,2,.... Use the result…

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Q: 2. F(s): = 3s² +5s-4 S4

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Q: Exercise. 14. Find all linear transformations T : R² → R² such that 2 T[2]-[2] and T[3] - [3] = 5

A: Let

Q: 4. Consider the sequence 8 1 {2(k+3 (2(k+3)) k=1 rewrite the sequence from j-5

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Q: Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 6x - 2x² g(x) = C₁f₁(x) + C₂f₂(x) +…

A: Please refer to the solution in next step.

Q: y’’’-y’’+y’-y=0 y(0)=1 y’(0)=0 y’’(0)=-1

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Q: Please no written by hand solutions (Use Gaussian Elimination) x+y + 2z =3 3x + 2y + 2z =4 x + y…

A: Equation 1: x + y + 2z = 3 Equation 2: 3x + 2y + 2z = 4 Equation 3: x + y + 3z = 5We will solve…

Q: can you continue the question pls and continue doing it on paper many thanks.

A: Note: According to the guidelines we are allowed to solve three subparts at a time. So please  ask…

Q: For interest rate i, you are given än+1] = 7.73 and 3-11 = 17.35. Find 11. n- $11

A: For interest rate i, you are given  and .To find the value of .

Q: 6. No derivative formulas/shortcuts allowed for this problem. Zero points if you use a derivative…

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Q: Use the simplex method to solve the linear programming problem. Maximize z=28x₁ +3x₂ subject to: 7x₁…

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Q: Let 1 < p <∞o and a = = (k) CK be a sequence. We define Dr = (kæk)k¹ w¹P = {r € | Dr € PP} and…

A: Given:Let  be a real number.Let  be a sequence.Define .Define  as the set of sequences such that…

Q: 1. Let p be an odd prime and g be a primitive root mod p. Show that Z = {gik: k= 1,...,p-1} if and…

A: We are given that p is an odd prime and g is a primitive root mod p.The main objective is to prove…

Q: Find the value of the derivative of the function f(x) = 2x³ - 5x² + 3x - 1 at x = 2.

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Q: For the following multistep numerical scheme: Yn+1 = Yn + hfn, h Yn +27 [fn+1 − fn], ** Yn+1 = Yn+1…

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Q: Consider the following matrices A, B and C (attached in image). Note that only the entries of matrix…

A: Since there are more than one questions, so find the solution of the first question.

Q: e the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₂…

A: We have to find the value of x(t) with the method of the variation parameters.

Q: (a) Solve the initial value problem in explicit form: t ∂u ∂t + (t + u) ∂u ∂x = x − t, u(x, 1) = 1 +…

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Q: bn equals the number of sequences of 1's, 3's, and 5's whose terms sum to n;

A: equals the number of sequences of 1's, 3's, 5.s.To Find:A recurrence relation for the following…

Q: Q4.a) Construct the cubic splines for f(x)=xlnx with x-8.3, x-8.6. Approximate f(8.4) and f'(8.4),…

A: To construct cubic splines for the function f(x) = x * ln(x) using the given data points x = 8.3 and…

Q: Solve the following initial value problem -y" + 3y - 2y = te¯t, 1 3 e 5 36 5 36 5 36 e -t e -t -t 6…

A: The given differential equation is .Initial conditions: .

Q: If sin(x) = (in Quadrant 1), find Give exact answers. sin (2) - cos (7) = tan (7) -

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Q: Euler's method for a first order IVP y = f(x, y). (x)=b is the the following algorithm, From (xo-yo)…

A: Exact solution :

Q: Solve the given initial value problem. y" + 16y=0; y(0) = 1, y'(0)=3

A: The genral solution of

Q: 1. Here's a MATLAB script, explains it line by line in details. >> x = 0:pi/100:2*pi; >> y1 =…

A: Actual Script:x = 0:pi/100:2*pi;y1 = 2*cos(x);y2 = cos(x);y3 =…

Q: Given y₁ (t) = £² and y₂ (t) = t¹ satisfy the corresponding homogeneous equation of t²y2y = 3t³ -…

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Q: Find f(t). f(t) = L 8s (s - 3)²

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Q: Exercise 2. Find the geodesic equations for u" and v" for the parametriza- tion given by X(u, v) =…

A: Given:The parameterization is .To find:The Geodesic equations for and.Concept Used:A geodesic on…

Q: h(x) = (x − 3)º(5x² + 3x)²

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Q: Find the equation of the tangent to the curve at x = 3 for the function: f(x) = [(2x+1)³ (4x-3)

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Q: Find a general solution to the given differential equation. 35y" + 16y' - 3y = 0 A general solution…

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Q: For each of the following subsets of F3, determine whether it is a subspace of F³: (a) {(x₁, X₂, X3)…

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Q: How many ways are there to distribute 26 identical balls into six distinct boxes with at most six…

A: The given information in the question is as follows:There are  identical balls.There are six…

Q: D, E, and F own a business jointly and share profits and losses in the same portion as their…

A: D, E, and F own a business jointly and share profits and losses in the same proportion as their…

Q: Evaluating the integral by making an appropriate change of variables. SS sin(9x² + 4y2) dA R Where R…

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Q: The integer version of Farkas' Lemma is the statement that, for every A € Zmxn an be Zm, exactly one…

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Q: Suppose a population is growing in an environment with a carrying-capacity of 100 and a…

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Q: Solve the following initial value problem −y" -y + 3y - 2y = tet, y(0) = 0 and y' (0) = -2. O O 1 3…

A: The given differential requation is

Q: Calculate the total interest paid over the term of a five-year fixed rate mortgage of $260 000…

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Q: u+iv is analytic function, under what condition (if any) v+iu

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Q: - Evaluate f√x+y (y-x)² dxdy using the transformation x+y=ky D.

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Q: A student drove to the university from her home and noted that (a) What was her average speed in kny…

A: a)Given:Distance traveled = 13 kmTime taken = 16 minFirst, we convert the time taken from minutes to…

Q: X₁ yi O 1 1 3 2 G 45

A: 01241345To Find:Create the exponential approximation curve in the form  according to the points…

Q: Find a general solution. 4y" +19y' - 5y = 0 y(t) =

A: We have to find the general solution of the given differential equation:4y" + 19y' - 5y = 0…

Q: Consider the graph of distances from the origin as a function of time for a car trip. 150 100 50…

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Q: ® let Act show that the eigen Value d of A are the diogenal elementa and b

A: According to Bartleby Guidelines ,we solve only question number 3.The given matrix is .Also a and d…

Q: yy' = x(y)² + 4

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Q: Suppose f(x) = = -2x + 3 and g(x) = -5x. Define (f, g) Let h(x) = a f(x) +b g(x). A function h(x)…

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