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Q: Ques.4 Decomposition 3z = 14 Solve the system of three simultaneous linear equations by using Crout…

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Q: Ex/l let fi [1₂1]-> R be function f(x) = 3 x70 2 x < 0 Is the function integrable and Continuous?

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Q: Evaluate the line integral 9x²yzds with respect to s along the 2 curve C: x=t, y = t², z = t³(0 ≤ t…

A: We want to find the integral  ∫C9x2yzds Here  x = t, y = t2, z = 23t3⇒ dx = dt,  dy = 2tdt,  dz =…

Q: Consider the linear system = Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ =…

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Q: decimal places

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Q: Use the graph of the function f(x) shown below in order to determine lim_f(x). x-5 -10 -9 -8 -7 -6…

A: We want to find limit of given function when x tend to -5.

Q: Use a graphing utility to approximate (to three decimal places) the solutions of the following in…

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Q: Find the general solution of the given system. dx 4x + 5y dt dy = 10x+9y dt (x(t), y(t)) = =

A: The solution of system of differential equation is solved below

Q: A = 1 1 020 00-1/

A: Follow the steps.

Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

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Q: Solving a differential equation using the Laplace transform, you obtain Y(s) = L{y} to be 24 10 4…

A: Inverse Laplace transform is used

Q: 1 Let f(x) x² (a) Let = (1, 0). For all p = [1, ∞], evaluate ||f||LP (M). (b) Let = (0, 1). At what…

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Q: Solve the following recurrence relation (find a closed form formula) : an = 2 an-1-3 for all…

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Q: S (s² + 100) (s − 8) } Evaluate ¹{.

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Q: -6 4 -4 11 3 13, λ = 2 10 8.

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Q: Number of Voters 17 11 12 3 1st Choice A C B A 2nd Choice B B C C 3rd Choice C A D D 4th Choice D D…

A: Number of votes  17 11 12 3 1st choice  A C B A 2nd choice  B B C C 3rd choice  C A D D 4th…

Q: Resonance is not a phenomenon reserved for undamped mechanisms. Consider the model: d²x dr +2. +5.x…

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Q: 1. Use the definition to show that x² - y² lim (x,y)→(0,0) x² - y² = 0.

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Q: Find all the values of a such that the given series would converge. Answer: Note: Give your answer…

A: Given series is ∑n=1∞xnn+4

Q: 20 year, 4.75% bond, with a yield of 4.755%

A: Bond Price = C x [1-{1/(1+r)n}]/r + M/(1+r)n M=Face Value = $1,000 C=Coupon Payment=$1,000 x 4.75 %…

Q: f(x)=x(40-x)/(20+9cos(x)) Let the function and the set V=[10,15,20,25,30]. Consider the set W of…

A: First we calculate f(x) by using value of x  Next we use Lagrange formula to calculate the…

Q: Find a set of parametric equations for the tangent line to the graph at t = to. (Enter your answers…

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Q: 1. 2. Solve the given differential equation and find the interval of definition: y' = x²/y Solve the…

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Q: Approximate cos(0.2) to five decimal-place accuracy using the MacLaurin series for cos(x). cos(0.2)~

A: MacLaurin series of cosx is  cosx = 1- x2/2! + x4/4! - x6/6! + ......... We have to find the value…

Q: 14. Prove or disprove (a). (H.)( (G, *), and H is an abelian subgroup ⇒ HAG. (b). (H,*) ≤ (G,*), and…

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Q: 3. Classify the following PDE as (i) Linear or Nonlinear, (ii) Homogeneous or nonhomogeneous C. -2…

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Q: Question 6 Consider the following system ax-bxy, -cy + day, where a, b, c and d are strictly…

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Q: Find the number of ways to break a group of 12 people into 3 classrooms, no empty classrooms.

A: Solution

Q: Evaluate the integral [yda+zdy – rdz along the helix C given by - X = = cos πt, y = sin ít, z = t…

A: Line integration of the vector valued fumction

Q: (D² – D − 2)y - COS X

A: Solve the second order differential equation

Q: 5. Let (G, *) be a cyclic group, namely G=(a). Prove that (a). if G is finite of order n, then G…

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Q: d) ej Z [√2] is a field Z [√2] is an integral domain

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Q: S C-¹{₂ (s² + 100) (s − 8) } Evaluate L-¹{.

A: Inverse Laplace transform of the function

Q: An Internet Service Provider (ISP) offers three plans, High Speed (H), Medium Speed (M) and Low…

A: ISP changing plan using transition matrix A, using the given data set we make transition matrix  A…

Q: Z=Sn (PUS) n(QUS) NPNQNS

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Q: pproximate cos(0.16) to five decimal-place accuracy using the MacLaurin series for cos(x). Os(0.16)…

A: Solution:-

Q: 18. Which of the following groups are simple? (a). (Z, +). (b). (Zp, +), where p is a prime number.…

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Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

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Q: Suppose f is continuous everywhere, f’ is differentiable everywhere except at x = -1, and the graph…

A: To find slope of normal of f at point x=4 from the graph of its derivative.

Q: Write an equation for the plane that contains the x-axis and the point (0, 5, 15). O 3 = x² + y² +…

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Q: -x -e = luxe by Bisection Slove:.

A: To solve by using the bisection method.

Q: fydr - 5rdy where C' is the cardioid Evaluate r = a(4 + 4 cos 0) (0 ≤ 0 ≤ 2π). NOTE: Enter the exact…

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Q: Use the following binomial series formula to obtain the MacLaurin series for (a) - (1+x)6 k=0 (b) √…

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Q: Consider the vectors v = [1, 2, 4, 6] and w = [2, -1, 2, -2]: (a) Decide whether the vectors are…

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Q: Determine whether the real sequence of convergent or divergent sequence. n+3 converges by using the…

A: This is a problem of sequence.

Q: Unemployment Rate The unemployment rate of a certain country shortly after the Great Recession was…

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Q: Let Q(x) be the statement “x hasn’t developed a program in JAVA”, where the domain consist of the…

A: We have to write each quantification in English statement.

Q: all integers h, k, and with

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Q: Verify the formula fr F.T ds = = ff. (cur (curl F). n dS in Stokes' Theorem by evaluating the line…

A: Stokes theorem is verified

Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +…

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