Given f(x) dx A. Use Simpson's Composite rule (xo, a1, ..., x20) to approximate its value B. Use the formula given in class to find a bound for the error. C. What is the actual error?

Q: If 2 [2 A = 1 4 4 3 -3 and B = 4 4 2 -2 -3 1 -4 4 Then 2A + B =

A: We have to use matrix addition.

Q: Find quadratic least-squares approximation to f(x) = 2*, using i) Legendre polynomials,

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

Q: 20. е -3.1х cos 2.1x, e -3.1х sin 2.1x

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Q: 1. Mark each statement True or False. Justify each answer, (if true, cite appropriate facts or…

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Q: EXERCISES 3:Find the directions in which the functions increase and decrease most rapidly at Po,…

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Q: While on a business trip in February, Bob Barrett charged the following expenses to his company's…

A: Correct option is - D

Q: 4. A particle of charge q = moves in velocity ở = (2 + m)î – (5 + m)f – 4k in magnetic field B = (7…

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Q: 7. A commercial fishery is estimated to have carrying capacity 40 tons of salmon. Suppose the annual…

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Q: y" + ay' + by = 0 for the given basis. 16. e2.6x -4.3x e 18. cos 2Tx, sin 2Tx

A: Ques 18 is asked to be solved.  Given : differential equation y'' + ay' + by = 0, Basis is Cos 2 pi…

Q: Derive Newton-Raphson iterative formula for computing the value of VM, where M is a positive real…

A: We have to derive the Newton-Raphson iterative formula for computing the value of M, where M is a…

Q: Let C denote the unit circle centered at the origin in C. 1 Then |1+ z + z 1 dz, 2ni where the…

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Q: الموضوع show that if foret A frix by and ; YーZ is a continuous map then gFo relA gf,:X b Z

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Q: Find the area of the region enclosed by one loop of the curve. r = 4 sin(5theta)

A: We have to find the area of region .

Q: Given the differential equation y' = 3y e2 and y(0) = 4 1. Use implicit derivatives to find " y" ",…

A: Given differential equation is y'=3y e2x    and   y0=4 Also, y'0 = 3y0 e20             = 34 1=12…

Q: A nutritionist is performing an experiment on student volunteers. She wants to feed one of the…

A: We will solve the problem algebraically using a system of linear equations. Let x, y and z be the…

Q: A school district school board is dividing between five high schools. The school board can hire 300…

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Q: Let Г3 -5 -1 A 2 3 3 2 В -3 -3 If possible, compute the following. If an answer does not exist,…

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Q: Find the present value of the following deferred annuity due. Periodic Made Payment Period of…

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Q: Let A = [1 5 −4 −3 0 0 1 −2 1 0 0 0 0 0 1] and w = [120−2−1] (a) Is w in Nul A? Justify your…

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Q: = eax %3D

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Q: Use mathematical induction to show that, for any positive integer n, we n have that n(n+1)(2n+1) k2…

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Q: 3. Expand cos²x as a series of ascending powers of x.

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Q: Suppose that fo sf,:X-gy and g,-3 YoZ Prove that (Hint : First use ce) to show that gfe g,, and then…

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Q: Use a property of determinants to show that A and AT have the same characteristic polynomial.

A: To show that A and A^T have the same characteristic polynomial by using a property of determinants.

Q: We have emphasized that the Uniqueness Theorem does not apply to every differential equation. There…

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Q: Orthogonally diagonalizable the following matrix 2 1 1 C = -1 1 1 0 -1 1.

A: The solution is below.

Q: [1 0 0 15. Consider the matrix A : 1 -2 2r 4 where r is a constant. 1 -r + 2 The values of r for…

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Q: Give an enumeration procedure for the set L = {ab*a™: n> 1, m >1}.

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Q: is transformed into the graph of 2y 6 y = f(x) becomes point ( 57, If the graph of y = E(x) -4 f( x-…

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Q: a) If A and B are each countable sets, show that AUB is countable. (Hint: For each set, consider a…

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Q: Using multiple linear regression, estimate the values of a, b and c in the given regression model.…

A: Given model y= axbecx Takinh log to the base e on both sides, lny= ln(axbecx) =lna + blnx+ cx Let u=…

Q: Let W = {[x]∈ R2^ | y > or equal to 0} .             [y] (a) If u and v are vectors in W , is u + v…

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Q: {1+2t – t3,3 +t+4t2, 6t2 + 263, 4 – 5t2} (b) B = {1 – 212, 2t + 31, 2 + 3t – 3t2, -1 – t+t? + 31³}…

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Q: Part 1 of 8 By re-ordering the sphere equation, we have z- 100 - - y, We can then parameterize this…

A: We have to parameterize the given equation z2 = 100 - x2 - y2.

Q: To F= G(s)= B(s) 2555+35 + 6 %3D A(S) stos't l1lS+ 6 Find F4) b] laPlase?

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Q: 4. Sketch several periods of the following function: f (x) 0,- pi<x<0;1,0<x<pi/2;0,pi/2<x<pi Expand…

A: Given the function is fx=0-π&lt;x&lt;010&lt;x&lt;π20π2&lt;x&lt;π

Q: 3. Find all solutions to the equation (D² – 3D + 2)y(x) = 2e3ª.

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Q: Find the matrix M of the linear transformation T : R² → R² given by 6x1+ 8x2 -7x1+ x2. T М —

A: We have to find the matrix of linear transformation.

Q: Evaluate the limit for the graph: lim Ax). 4 2 4 -2 0 2 -4 does not exist 4.

A: To evaluate the given limit

Q: Let B = {b¡, following by filling in the blanks: b,} be a basis for a vector space V. You will be…

A: This is the problem of Vector space.

Q: Use Green’s theorem to compute the line integral of the vector field…

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Q: Consider a pentagon P with 100 points in the interior of P. Let T be a triangulation of P with…

A: Given that P is a pentagon with 100 points in the interior of P. T be a triangulation of P with…

Q: (4) For what values of z is the matrix A invertible? (5) Solve the system of equations in part (2)…

A: The given linear system is  Axy=b where A=0.10.60.5z and  b=1811 Solution (4) Matrix A is invertible…

Q: Suppose f is uniformly continuous on (a, m] and also on (m, b). Prove: f is 1 uniformly continuous…

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Q: WATE [z cot FI dz

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Q: Find a basis for the subspace of ps W= , X3, X4, Xs )x1 + 2x, + x5 = 0} OA {(1.0,0,1). (0,-1,0,0,2).…

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Q: The monthly invested payment is $. (Round up to the nearest cent.)

A: We have to find the monthly payment value of given sinking fund.

Q: Note: m=0 + m -2 6. 1. Let 1=* = l and C = |14 — т аnd C — 3 18 + m -10 -21 Find the matrix X, if A?…

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Q: Suppose that f (x) = x·g(x) for some function g that is continuous at 0. Prove that f is…

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Q: Solve this Question by using Laplace y" + 4y' + 5y = 125t2 y(0) = 0,y'(0) = 0

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