2. Consider the FitzHugh-Nagumo equation. dx = x - x³-y dt dy = € (x + a − y) - dt where & is a small number.

Q: Approximate the following integrals using the Simpson's rule S" 3/(x2-17) dx where b = 0.356.

A: Approximate integral using Simpson's rule: -0.062980Explanation:Step 1:  Given, ∫0b​x2−173​,dx…

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A: Face value or Maturity value of the loan = $15 millionThe nominal rate of interest is 8.7% quarterly…

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A: We will find the integral approximations T8 and M8.

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Q: Which of the following solves the initial value problem x²y" 5xy' +9y = 0, y (1)= 1, y'(1) = 0.

A:

Q: Manvir invested $1,600 at the beginning of every 6 months in an RRSP for 11 years. For the first 8…

A: Part a) =$31,229.59 Part b)= $48,332.54 Part c)= $13,132.54Explanation:Part a)Future value of…

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A: The objective of the question is to prove the Third Isomorphism Theorem and perform computations…

Q: please answer these question using manual computation or solution

A: AExplanation:Use Laplace transform to solve the differential equation (y'' + 6y' + 8y = 2) subject…

Q: Plz correct answer

A: The objective of this question is to find the solution to the Laplace equation in a spherical shell…

Q: 7. Find T(t), N(t), and B(t) for r(t) = (t³ − 4t)ỉ + (5t² − 2)j

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Q: Evaluate I = f(sin x + 4y) dx + (9x + y) dy for the nonclosed path ABCD in the figure. D T C B ·x A=…

A: We have to evaluate .

Q: Question 5. Let A = {0, 1} and B = {1,2}. Find: (a) (A x B) U (B × B) (b) P(A) \ P(B).

A: Part (a):  (A × B) ∪ (B × B) = {(0,1), (0,2), (1,1), (1,2), (2,1), (2,2)}.Part (b): P(A) \ P(B) =…

Q: pls answer this three question with solution thank you

A: 1. 38.36o2. 5 roots3. 40Explanation:1. To find the principal argument of (−2+j)41​, we first need to…

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A: We have to find(a) the angle between the vectors  and  (b) the length of the projection of vector…

Q: dy x + y +3 Find the general solution of the non-homogenous differential equation: dx 6x+6y+2

A: Ans: 21y-8log(21x+21y+15)=c1where c1 is the integration constant.For details please see the…

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A:

Q: True or false: If f is analytic at each point of a closed contour I, then fr f(z) dz = 0. If true…

A: The objective of the question is to determine the validity of the statement: If a function f is…

Q: Please don't provide hand writtin solution.....

A: Please see the explanation part.Explanation:Answer: To find formulas for the entries of Mn, where n…

Q: Let x = (7u3-5v³)-35u² + 30v² + 175u - 180v + 10 y = 5u+7v-25 Find the point (uo, vo) for which the…

A:

Q: dy Find the general solution of the non-homogenous differential equation: dx x+y+4 4x+4y+2

A:

Q: 6. Determine whether the improper integral sin x dx In x converges or not and justify your answer.

A:

Q: 1. Derive a forward finite difference approximation of f" in the following form: a3f3+ a2f2+ a1f1 +…

A: The objective of this question is to derive a forward finite difference approximation for the second…

Q: Given the complex numbers find the real and imaginary parts of the complex number Re() = Im (7) =…

A: Given:z=−1+5iandw=3+9izw=−1+5i3+9iTo rationalize the denominator, multiply both the numerator and…

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A: We will find the integral approximate S6.

Q: Let 1 -31 3 2 1 [1 2 0] W = 23 2-2,x= -1 2 3 -and- and Z= 0-1 1 2 -1 1 Which of the following…

A: Therefore the correct options are : a. Correct.b. Incorrect.c. Incorrect.d. Incorrect .e.…

Q: Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4) c)…

A: We  have to calculate this equation by means of logarithm.Note: According to the guidelines we are…

Q: Plz correct  solution.

A: The objective of the question is two-fold. First, we need to verify that the set L is an affine…

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Q: Let +613 -6 -9 M 9 -6-5 0 0-2 Find formulas for the entries of M", where n is a positive integer.…

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A: By Fermat's little theorem,      If p is a prime, and a is any integer, then          ap  a (mod p)…

Q: Correct solution.

A: The objective of the question is two-fold. First, we need to verify that the set L is an affine…

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Q: 1. Simplify. Express your answers with positive exponents. a) (3x3y3)(2xy-3)2 b) 16a²b³ 4a-165 -2 c)…

A:

Q: Find the instantaneous rate of change in the amount in the account after 3 years (in dollars per…

A: Given, Principal amount, Interest rate, Time,  years.The formula for continuously compounded…

Q: 9. In each part, which function grows faster? Prove your answer using infinite limits. (b) Homework.…

A: The objective of this question is to determine which function, f(n) = n^2 or g(n) = n + sqrt(n) +…

Q: e 0 J。 leit – al² where |a| is not 1 b 2 = (eit - a)(e-it - ā) grate on a unit circle Q using Cauc

A:

Q: I have a limits question. I have to take a limit of a function L as it approaches infinity. (I need…

A: To find the limit of the given function as  approaches infinity, you can try to simplify the…

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A: The answers are as…

Q: Find a general solution to the following in terms of J, and Y. Calculate a numerical answer to three…

A: The bessel differential equation of order ν isx2y″+xy′+(x2−ν2)y=0When ν is an integer, the solution…

Q: Write 19/20 as a sum of unit fractions in the Egyptian manner.

A: To express the fraction 19/20 as a sum of unit fractions in the Egyptian manner, we need to…

Q: Solve the following systems of linear equations using Gauss-Jordan Elimination method. x – y + z +…

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Q: A contract requires lease payments of $800 at the beginning of every month for 5 years. a. What is…

A: The present value of the contract is: a. $11,038.41 (annual compounding) b. $3,431.02 (monthly…

Q: Given A = -6 5 2 2 a. The number of vectors in B is -3 -2 -27 10 2 Z 0 1 1 00 0 let a1, a2 and ä3 be…

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Q: Find the steady periodic solu Xsp comparison) the adjusted function F₁(t)=- x''+12x' + 11x = 9 cos…

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Q: pls answer these four question with solution thank you

A: 1.The expression (-14+j3)^ - 2/5 has 5 roots. (D) 5 2.The correct answer is D.3+j40. 3.The value 4…

Q: Verify that there exists a function g: R² → R² such that ū = (u, v) = g(x) for the system 4x² + 5yv4…

A: Given the system .Rewriting as, .We can apply the inverse function theorem that says for a…

Q: 2)Graph the function y=x3 + 2x²+1

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Q: Let F = xyi - zk and S be the cone z = √√√x² + y² , 0 ≤ Z ≤ 1. Evaluate the surface integral F*ndS…

A: Given surface is z=x2+y2  ,  0≤z≤1A parametrization of this surfacer→(u,v)=(ucos⁡v)i→+(usin⁡v)j→+uk→…

Q: Prove that these relations on the set of all functions from Z to Z are equiva- lence relations.…

A: