Use Simpson's rule with n=8 to approximate the arc length of y=sin x on the interval [0,л].

Q: 1. Apply the Sieve Process from 200 to 300. 2. Let p be an odd prime not equal to 5. Prove that…

A: 1. To apply Sieve process to find primes from 200 to 300.   In sieve process we will construct a…

Q: 13. Dan working alone can paint the outside of his house in 36 hours. Mary working alone can paint…

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Q: c. Five customers are being independently served with exponential random time with the same…

A: Sol:-

Q: 5. Evaluate the following. (a) lim (y) (0,0) 1²y² + 3y

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Q: Find the surface area of the figure. Round to the nearest hundredth of a unit. Let a = 1, b = 3, and…

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Q: How many solutions does the following 3 x 3 system have? x1 + 2x2 + x3 2x1 + 2x2 + 2x3 = 8 = = 4 3x₁…

A: The given system is x1+2x2+x3=82x1+2x2+x3=43x1+x2+x3=6 We have to find the solution of the system.

Q: K Use the Gauss-Jordan method to solve the following system of equations 5x + 3y - 4x = 0 4x - y +…

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Q: lem 2.1: (a) Find by Rung-Kutta method an approximation value of y for x=0.8, given that y=0.41 when…

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Q: 3. Find an equation for the plane in R³ containing the points P = (4, 1, 0) Q=(3, 2, 1) R = (5, 1,…

A: The given points are, P=(4,1,0)Q=(3,2,1)R=(5,1,1). Let an equation containing three points…

Q: #6 X= 3-x² to tate find volume 05 X 52 Y 9x15

A: Volume about y-axis

Q: -0.2 y 1.2 1.0 0.8 0.6 0.4 0.2 -0.2 R₁ R2 y=xx R3 y = x X 0.2 0.4 0.6 0.8 1.0 1.2 Find the volume of…

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Q: College of Letters and Science, the College of Fine Arts, the School of Business Administration, and…

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Q: For all real numbers a and b, |a+b| = |a| + |b|.

A: This question is about discrete maths.

Q: which, in this case since A is self-adjoint, is just A. Consider now the restriction of A to M…

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Q: Let S be the universal set, where: S = {1,2,3,..., 18, 19, 20} Let sets A and B be subsets of S,…

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Q: Suppose that f(x, y) = 2x + 2y and the region D is given by [-5, 4] x [-5, 4]. D [[ f(x, y) dx dy =

A: The given function is fx, y=2x+2y. The region D is given by -5, 4×-5, 4. We have to find ∬Dfx, ydx…

Q: the Galois group 12.) What is in the 2 x4-4x²-5? 5) Find and the write roots order of of the roots…

A: Your both questions are connected. Hence giving a consolidated answer - thanks for your…

Q: 21.Let K be the splitting field of x^23 - 1 over ℚ and zeta ζ be a 23rd primitive root of unity.…

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Q: Write the following system as a vector equation involving a linear combination of vectors and solve…

A: The given equations are: 5x1-2x2-x3=24x1+3x3=-1 We need to find the solution of the above system…

Q: 5. the dimension. (a) W = N(A), where For each of the following subspaces WC R³, find a basis and…

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Q: In Problems 1-36 find the gel 1. 4y" + y = 0 3. y" - 36y = 0 5. y" +9y = 0 7. y" - y' - 6y = 0 d²y…

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Q: 3) Find the optimal solution to the following LP using two-phase simplex method. min z = 2x₁ + 3x₂…

A: The given LPP is:

Q: A winch at the top of a 12-meter building pulls a pipe of the same length to a vertical position, as…

A: Given Data: We have to find the rate of horizontal change and vertical change at the end of y=3.

Q: Suppose that f(x, y) D [ f(x, y) dx dy X = - and the region D = [2,3] x [2,5]. Y =

A: Here, f(x, y) = x/y      D = [2, 3] × [2, 5]

Q: 11. y" + 3y' - 5y = 0 13. 12y" - 5y' - 2y = 0

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Q: Let R be relation from A to B where "x is greater than or equal to y squared." Then define R as a…

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Q: 20. Find the splitting field for x^2-2sqrt(2)x+3 over Q(sqrt(2)). Find the roots first then…

A: To Find: Splitting field of x2-22x+3=0 over ℚ2.

Q: 4x — 2m = 3m- h , then in terms of x and h , m =

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Q: Determine if the conclusion follows logically from the premises. Premise: No known perceptions are…

A: Let       A = known perceptions      B = primary notions      C = innate ideas   Then,     Premise-1…

Q: Solve this differential equation problem using Power Series Solution. Must use transcendental…

A: Given: Differential equation: y'''-2y'=sin xTo find: The solution of given D.E. using Power series.

Q: Given: Differential equation: y" - 2y' = sin x To find: The solution of given D.E. using Power…

A: Given: Differential equation: y'''-2y'=sin xTo find: The solution of given D.E. using Power series.

Q: 7. Derive and verify a Cayley-Hamilton formula for the inverse of an invertible 5 × 5 matrix

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Q: Section 2.5: Consider the matrix A = 2 4 4 1 0 1] 3 1 4 4 and the vector b = 3 7 i. Find the LU…

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Q: Does the empty set form a vector space?

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Q: /0 2 3 (a) The matrix M is given by M = 2 0 0 -1 -1 0. Evaluate M-¹ (using elementary row…

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Q: Letting x, be any one of the basis vectors in M, we have (y,x₁) = (z, x;) - (z, xj) = 0 (j = 1, 2,…

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Q: Anthony Altino is mixing food for his young daughter and would like the meal to supply 1 gram of…

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Q: a² u a² u 3.1: Solve the Laplace equation + = 0 and find U₁1, U2, U3, U4 by əx² dy² Gauss-Seidal…

A: As per the question, we are given the nodal values of a function U(x,y) at 16 points. We are…

Q: Problem 5.1: (a) Fill the following forward difference table? Xi 0 5 10 15 20 25 Yi 0 0.0875 0.1763…

A: Forward Table: For equidistance node xi and corresponding values yi, the forward interpolation table…

Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated…

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Q: u = [3, -4] and v = [6, k], what is the value of k if u is orthogonal to v?

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Q: The gravitational force between two objects of mass m and M, separated by a distance r, has…

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Q: [₁23], decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31, -46, 23, -34, 1,…

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Q: -at² - 2 @ Show: Sē jeate dt - 17€ е = a 2 -at 1 Find the Fourier Transform of f(t) = ē

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Q: Question 42 of 60 Given that the equation (4x-y)/(x+y)=(5)/(2) is true, what is the value of…

A: We are given that          (4x - y)/(x + y) = 5/2        => (4x - y)/(x + y) + 1 = 5/2 + 1…

Q: Consider the following functions f(x) and g(x), where c is a constant. f(x) = x³ - 10x² +16x+c and…

A: The given polynomial function are fx=x3-10x2+16x+c where c is a constant and gx=-x3+10x2-16x. To…

Q: Find the interest on the loan using the Banker's P = $350, r= 8.7%, t = 240 days The interest on the…

A: Given  P = $350,  r = 8.7%  ,  t = 240 days

Q: V. Determine which of the following are Bernoulli's equation and, if so, find the general solution…

A: 4. The given differential equation is y4dydx+y3x=1. We have to determine whether the differential…

Q: Write a polynomial p(x) whose roots are 1 + √2 and 1-√3 such that p(2) = 5.

A: The given roots are, 1+2, 1-3 Since the given roots are irrational and as they exist in pairs we…

Q: Consider the parametric equations x = −3 sin θ, y = 4 cos θ, 0 ≤ θ ≤ π 1. Sketch the curve…

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