QUESTION 16 Three states have the following populations: State Population A 10,040 B 8000 C 2050 A house of representatives with 20 members is to be apportioned among these states. What is the quota for state B? O A. 7.96 B. 9.99 O C.7.21 D. 2.04

Q: 1. Find the Fourier series of the function f(x) = |x| which is defined over the range - T<x< T.

A: f(x) is periodic with period 2π  f(x) is continuous except at the end poits (where f is not defined)…

Q: Given that f(z) = z where does f'(z) exist

A: The given function is,  f(z) = z. We have to find those points where f'(z) exists.

Q: 12. Solve the following system of equations using either the substitution method or the graphing…

A: Introduction: The equations belonging to a system of linear equations represent a line in Euclidean…

Q: Consider the differential equation ex dy gy + dx X (x > 0) - x⁹ (a) State the form of the…

A: The given differential equation is dydx+9yx=exx9 with x&gt;0 The solution to the given question is…

Q: The norm of the matrix A = O True False [3 1 1 1] is equal 4. 3.

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Q: 2. Simplify and make sure to show all your steps a+2. (x¹a-3)(x²+3 (x²+3) a) b) 3 -12 64m 10 100m¹

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Q: Q3. Find the polynomial f (x) by using Lagrange's formula and hence find f(3) for X: 0 1 5 2 2 3 12…

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Q: [3] Determine the area of the triangle determined by the polar point (18, 240").

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Q: . What is the sum of the measures of the exterior angles, one at each vertex, of a polygon with 26…

A: (5) To find the sum of the measures of the exterior angles, one at each vertex of a polygon with 26…

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

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Q: an upper bound for Erl and Es

A: The given integral is ∫0π sin t dt To find: (a) the value of integration by Trapezoidal and…

Q: 8. Let f(x, y) be a cost function with two parameters: x and y, and f(x, y) = y³x²y² + y + 3. For…

A: Given the function  fx,y=y3-x2y2+y+3and xold=1, yold=0, ε=0.01

Q: Let f(x) = (x + 1)² - 1, x 2-1. Then the set {x:f(x) = f(x)} is

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Q: 2) Write an equation for each graph a) f(x) = (3,2) 24

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Draw a left endpoint rectangle approximation of the area with n = 8. How do Ax and the change? O O…

A: The given function is fx=-x2+6x-7 To find:the area by mid point rule.

Q: Assume that there is no damping outside and take as the value for the acceleration of the gravity g…

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Q: Construct a right angled triangle having the longest side 84 mm and one angle 38°. Measure the other…

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Q: Find the first four terms of power series solution of the given differential equation (x² − 1)y" +…

A: To find the series solution of the given differential equation we consider the given differential…

Q: 3. Use the Laplace transform to solve the given differential equation. 2x - 4y = 4, - y' + 2x + 2y =…

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Q: 2. y = ln(x² - 1), 2 ≤ x ≤3 ;y-axis

A: The given problem is to find the area of surface of revolution generated when the given curve is…

Q: Q2: Find the area inside r = = 2(1 cos0) and outside r = = 2. O find th

A: The given problem is to find the area of region formed by given curves. Given curves r=2(1-cos(θ))…

Q: Solve by using the method of undetermined coefficients :

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Q: Let V be a n-dimensional vector space over F. Suppose W1 and W2 are two (n − 1)-dimensional…

A: It is given that V be an n-dimensional vector space over F and W1 , W2 are two (n-1)-dimensional…

Q: Using the bisection method, find an approximate root of the equation sin x = 1/x, that lies between…

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Q: A(t) = 3t²i - (t+4)j + (t²-2t)k B(t) = sin(t) i + 3e-¹j - 3cos(t)k Find d² (A x B) at t=0 dt²

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Q: Solve the differential equation xy' =y+√√x² + y²

A: To find the solution of the given differential equation :-

Q: Find the Maclaurin series for f(x) = ex+x² using the familiar series. Then use the results to…

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Q: Investor Dan has $119,000 to invest in bonds. Bond A yields an average of 9.4% and the bond B yields…

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Q: By using the unlimited coefficients method, choose the correct answer for this equation…

A: We have to find the correct option.

Q: 3. Find the Fourier transform 4. Find the Fourier transform of of 6e-ltl of of 1/(1+ t²).

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Q: Let R be the region in the first quadrant that is enclosed by y = f(z) (or z = g(y)) and y = z as…

A: Arc length of a curve y=f(x)  where a≤x≤b L=∫ab1+dydx2dx

Q: B = 2 1 -1 2 -1 3 -1 2 -2

A: A matrix B can be diagonalized if there exist an invertible matrix P and diagonal matrix D such that…

Q: 1 ++²)

A:

Q: 3. Find the limit: 6x4 lim (x,y)-(0,0) 5x8 + 6y²

A: We have to find the limit :   lim(x, y)→(0,0) 6x45x8+6y2

Q: Find the Inverse Fourier transform of Te-lw||

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Q: 3 -1 -6 -4 -3 4 Let y = D-B V1 = 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

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Q: 5: The Hessian matrix for f(X) = x}xy + x3x3 at the point (1 2 3], is given by: [6 0 31 [3 0 61 [18…

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Q: 2. For the following graph, determine C if x = 2. 04 U 0.3 0.2 1.0 0246 8 10 12 log C 0

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Q: Q4) Use the Newton- Raphson method, with 1.5 as starting point, to find solution of f(x)= x-2sinx.

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Q: F2016 The polynomial f(x)= ar +7x²-9x+b is divisible by 2x-1. The remainder when f(x) is divided by…

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Q: Hand written piz In each of Problem, find a fundamental matrix for the system with the given…

A: Solution

Q: 7: The point X* = [00] for the function f(x) = 2x² + x² + 2 represents a A: Saddle Point for f(x) B:…

A: Given :  f(X) = 2x12+x22+2,  for  X = (x1 , x2) To find : We to check the nature of point  X* = (0,…

Q: Hand written plz 2. Standardize the following LP model. max z = −3x₁ + 8x₂ − x3 + 12x4 - - - 3x₁…

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Q: Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear.

A: If there points A,B,C are co linear then we can have  |AB|+|AC|=|BC| . (A,B,C may have interchanged…

Q: Find the Inverse Fourier transform of re-l

A: This is the problem of Harmonic Analysis.

Q: x1 + x2 + x3 = 0 x4+x₂+2x3 = 0

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Q: 06) Find the Area bounded by the curves y = √√x and x = 2y - y² ,with sketch.

A: To find the area bounded by the given curves :-

Q: 11: Given the function f(x) = 8x² - 4x₁x₂ + 5x² and Xo = [5 2]. Then G¹g at Xo is equal (( G is the…

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Q: 1. Find the numerical Integration of cos(x) + sin(x) where n = 4 using trapezoidal rule.

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Q: Find the maximum and minimum values of the function f(x, y, z) = x²y³z2 subject to the constraint x²…

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