Find the LU factorization of and use it to solve the system [ 10 A 52 [1 A = LU 3][2]-[-2]· -188188 -8 10 8 X2 5 10 2 8 -9

Q: N = {2, 5, 7, 9, 10, 12} Create an additional set O which, using N from above, satisfies the…

A: Answer  Given  N={2,5,7,9,10,12} We have to create such that  ||N \ O||=3

Q: What is the coefficient of the term a b²c5d²e² for the product (a+b+c+d+e)25? Just provide the final…

A: By multinomial theory, the coefficient of ac1 bc2 cc3 dc4 ec5 in (a + b + c + d + e)k  is…

Q: Find SF dR, where F = x²i + j + yzk, along C: x = t, y = 2t², z = 3t, 0≤t≤1. Let C be the curve…

A: (a)The given function is F=x2i+j+yxk,  C: x=t, y=2t2, z=3t, 0≤t≤1 We have to find ∫CF·dR. (b)…

Q: The numbers of polio cases in the world are shown in the table for various years. Year Number of…

A: The number of polio cases in the world is shown below: (a) To Check: The model can be approximated…

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x² + 3y² subject to…

A: Using Lagrange multipliers we have to find the maximum and minimum values of f(x,y)=2x2 + 3y2…

Q: y = X y = 1 1.5 2 2.5 3 Paste the table into Desmos and fit the requested type of function to the…

A: Given data is: x y 1 24 1.5 70 2 167 2.5 305 3 474 Paste the values from Excel in…

Q: Solve the following triangle (find angle A, side a and side b): (Show your work) a) A 16cm B 25

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Q: Suppose that R is the finite region bounded by f(x)=√x and g(x) = 2 2. Find the exact value of the…

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Q: Which of the following monic quadratic polynomials is irreducible in ℤ_3[x]? Hint: f(x)=(x-a)(x-b)…

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Q: using euclidean algorithm, what is the monic gcd of f=x^4 + 3x^2+2x+4 and g=x^2-1 in Z _5[x]

A: We can use the Euclidean algorithm to find the gcd of f and g in ℤ_5[x] Elements in Z_5={0,1,2,3,4}…

Q: 4. Consider the series an where an = n=1 1 n(n+3) k (a) Find a formula for the kth partial sum, sk.…

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Q: In general, for a continuous function f(x), which b rule best estimates SºF(x a O Simpson's Rule O…

A: Simpson's Rule:   Simpson's Rule is based on approximating the curve with a quadratic polynomial…

Q: ---)- 润 3 B = Use x= [2 to compute [Ax] and Aßwhere A = 9 L6 0 -1 -2 01 3 4]

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Q: If possible, fill in the missing values to make A a doubly stochastic matrix. (If not possible,…

A: We have to find the value of a and b such that matrix A is doubly stochastic matrix.

Q: 0 0≤x≤2 1 2 ≤x≤4 0 4≤x≤8 Calculate the fourier series for f. 3. f(x) = { (b) Sketch the fourier…

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Q: Consider the function f(x) = 3x + sin x - e* the graph of which appears on the left. Approximate the…

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Q: Estimate the minimum number of subintervals to approximate the value of a the error estimate formula…

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Q: Let R0 be a graded ring. Show that the multiplicative unit 1 ER is homogeneous of degree 0.

A: Introduction: In mathematics, an element of a set or a structure is said to be homogeneous if it has…

Q: (d) What values of yo yields a solution to the IVP? When, if ever, is the solution unique? Give the…

A: Introduction: The existence and uniqueness theorem is a fundamental result in mathematics that…

Q: Compute the given improper integral. Enter the exact value of the answer. To 1 (x² - 25) # -dr =

A: Given: ∫13∞1x2-2532dx To Do: Evaluate the given improper integral.

Q: Compute the gradient, in spherical coordinates, of f(r, o, 0) = cos o/r².w

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Q: a.) Prove that every self-adjoint operator on V has a cube root. That is, given a self-adjoint T €…

A: With the help of complex spectral theorem and self adjoint property we proved every self adjoint…

Q: Which of the following would be a valid post-condition of the following Hoare triple? x = = (i+1)!.…

A: Answer  Option C is correct

Q: 32) Show that f is continous at xo is continous at xo if and only if limit 11 f(x)-f(x₂|1=0. хэхо

A: To show that f is continuous at x0 if and only if limx→x0||f(x)-f(x0)||=0, we need to show two…

Q: how do you graph this?

A: Asper the question we are given the Fourier transform of a function f(t) as f̂(ω) And we have to…

Q: A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x² + y² = z²,…

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Q: 1 2√√2π 1 √2π e(1-0)ize(1-0)iz + well-w) iz -we-(1-0)iz +e (¹+0)iz _ e(¹+o)iz - we ¯(¹+0)iz +…

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Q: part 1 of 3 (i) Express the improper integral S 3xe-x/2 dx I = as lim It with each It a proper…

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Q: Draw a contour map of the function with at least 3 level curves. Label the level curves with the k…

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Q: 10.18. For each of the following set-valued functions, draw the graph and determine whether or not…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = x² + 7y subject to the…

A: Given: fx, y=x2+7y; Constraint: x2-y2=1To find: The maximum and minimum values of the given…

Q: Consider a random graph G(N, p) with P = 2 e-№² √N +3N In the limit N→∞ the average degree (k) is…

A: Given: Random graph, GN, p with p=2e-N2N+3NTo find: The average degree, k and to check whether the…

Q: If a b c d e f = 17, find the determinant of ghi The determinant is a b c ghi de f

A: Here for given determinant we have to find value of other.

Q: Tim had 2/5 more muffins than Rael. Tim gave 1/5 of his muffins to Rael. Rael in return gave 1/2 of…

A: We need to find initially how many muffins Tim has?

Q: y = f(x) that expresses a length x in meters as a func- tion of the same length y in miles. (b) Find…

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Q: Which is n associate of 1-2i in ℤ[i]?   -1-2i 3-i 1-3i None of the above

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Q: Speeds of a Michaelis-Menten enzyme reaction v (in micromolar/minute) as a function of the substrate…

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Q: Current Attempt in Progress The cost, C (in dollars) to produce g gallons of a chemical can be…

A: Given:The cost of producing g gallons of a chemical is C=f(g).

Q: A pork roast was taken out of a hardwood smoker when its internal temperature had reached 180…

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Q: Use the 4th order Runge-Kutta method provided in Blackboard to approximate the solution of the…

A: Given: A differential equation y'=2-t6+y2 , y1=6 , N=109. To Find: Use the 4th order Runge Kutta…

Q: 2. Prove by induction that Er² = n(n+1)(2n+1). Deduce formulae for 1.1+2·3+3.5+4.7+...+n(2n-1) and…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: You are trying to invest $200 of your money to save. The bank is giving you two options to consider.…

A: Principal amount =$200 Rate of Interest =2% Consider Time period T =1 Year We know that simple…

Q: 12 (b) Given D = 2, decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31,…

A: Given: The given matrix is D=2-3-12. To find: b) We have to decode the following message: Message:…

Q: Show that u = √3+ √2i is algebraic over Q and type its minimal polynomial p(x) = irr(u, Q) below.

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Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A: In this we need to find out the solution , using Euler's method and then get tell about solution.…

Q: Suppose that we use the Improved Euler's method to approximate the solution to the differential…

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Q: Investing. How many years will it take $1,000 to grow to $1,600 if it is invested at 3% (A)…

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Q: Let n be an integer. Let T € L(R³) be given by the matrix n-2 n-1 n-1 n A = n n n+1 n+1 n + 2,…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: By substituting λ = x + at, Un = a²uxx = 0 → Πλμ μ=x-at 5 show that

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