I. What is the use of Fourier Series? II. Why do we take Fourier Transform?

Q: What value of t ensures the following system of equations has infinitely many solution 3r + ( - 4)y…

A: We want to find the value of t

Q: Imagine you are in a city that has a grid of streets with perfectly square blocks and that the only…

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Q: b) Determine whether the matrices 2 [2 3 ,and N = -2 21, M = -3 1. - 2 1 -2 1 are linearly…

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Q: Exercise 14.6.11. Suppose a is an an even or odd permutation? n-cycle. How can you tell whether a is

A: EX 14.6.11 : If σ=(a1 a2 a3....an), We need to explain how can we identify whether σ is an even or…

Q: Determine the equation of the slope of the line tangent to y = tan(x) using the 4-step rule.

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Q: Integrate f(x) from x = 0 to 10 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000 + 24583x –…

A: Gauss's three-point formula to evaluate the integral I=∫abfxdx is: I=b-a2w1fx1+w2fx2+w3fx3 Here we…

Q: Assume P (A) = .68, P (B) = .45, and P (AN B) = .25. Find P ( An I (An).

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Q: Find the area of the shaded region. r = Vcos 20 r = 6 cos 0 NOTE: Enter the exact answer. A =

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Q: A pulley and two loads are connected by inextensible cords as shown. Load A has a constant…

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Q: et A 2 and U = . Then A2017U is equal to

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Q: Use the Newton Raphson Method to find the root of f(x) using 2.2 as the starting value of x. Iterate…

A: f(x) = tan-1x2+x-6 then f'(x) = 2x+11+x2+x-62

Q: [2 1 1 b) Find the inverse of the matrix L = 3 4 1 L3 2 1 with the determinant of the matrix L = -2.

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Q: b) Given a linear system as below х — 2у + 3z %3 9, —х + Зу %3D — 4, 2х — 5у + 5z %3D 17 Find the…

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Q: Find the series solution of (1-x2)y’’+2xy’+y=0 using the Frobenius method

A: We have a given differential equation ,  1 - x2y'' + 2xy' + y = 0 Let , y = ∑n=0∞ anxn  be power…

Q: Consider the vector field F (x, y, z) = (z + y)i + (2z + x)j+ (2y + x) k. a) Find a function f such…

A: Given question is Consider the vector field ?(?,?,?)=(?+?)?+(2?+?)?+(2?+?)? F ( x , y , z ) = ( z +…

Q: Find the series solution of y’’+xy’+y=0 using the Power Series method.

A: We have to find the series solution of y’’+xy’+y=0 using the Power Series method.

Q: What is the result of applying the row operations –3R1 + R2 → R2 and -R1 + R3 → R3 to the matrix 2…

A: Row operations are calculations we can do using the rows of a matrix in order to solve a system of…

Q: Which of the following operations on a matrix may not be an elementary operation row ...

A: Which of the following is not a elementary row operation on a matrix.

Q: 16. Prove that an integer (a,-1an-2 · . . ao)10 is divisible by 11 if and only if ao + a2 + a4 + . .…

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Q: 1. Let a and b be real numbers such that a < b. Apply the Mean Value Theorem to f(x) = In(cosh x) to…

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Q: rm of the wayeform

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Q: Which of the following statements is not true? 1) The graph of an odd function is symmetrical about…

A: 1. As when graph of a function is symmetric about y-axis then it is an even function. But in option…

Q: Determine the greatest common divisor of the polynomials X4 + X? +1 and X5 + X3 + x² +1 in F[X],…

A: Please check the answer in next step

Q: . (a) Show that if a, is a series of nonnegative terms that diverges to o, then any

A: Answer :-

Q: Solve for the domain and range of. f(x.y,z) = 4-x2-y?

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Q: 10. A game of chance involves a spinner marked with mimbers from 1-30. The game costs $10 to play.…

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Q: If A and B be 2 x 2 matrices, then (A +B)(A – B) = A² – B². True B False

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Q: 9. a) Suppose that {an} is defined recursively by a, = a-1 that ao = 2. Find a3 and a4. n-l 1 1 1 1…

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Q: 6. Given that z = u' + 2v – x + 3y; u = r´ - s', v = r´ + s´, x = 2rs, y = 4. Find 2 =r dz(r, s, h,…

A: Given, z=u2+2v2-x2+3y2u=r2-s2 v=r2+s2x=2rsy=2rsTo find: dz(r,s,h,k)

Q: [ 2. and U = H: Then A2017U is equal to Let A = (A (в

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Q: [2 - 3 11 c) Let A = |1 2-3 and be express as A = LU as below L4 2 01 1 3 U13 2 1 U23 [41 0 [2 – 3…

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Q: Calculate the curvature and radius of curvature of the graph of the function y = xe

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Q: z = 8 - 2 y 2 y=2 4 X-4

A: We have to find the volume of the indicated solid.

Q: Prove the following using the contraposition For real numbers r, s, and t, where r>s, rt is less…

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Q: 5. Consider the functions et - e-* et + e-* a(x) = and B(x) = In this question, you may freely use…

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Q: Find the number of combinations that can be drawn without replacement by pulling 2 balls from a set…

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Q: For skew anti-symmetric matrix, the sum of its entries is A 10 -5 1 E) -1

A: We know the skew anti-symmetric matrix or skew matrix is At=-A

Q: Let A = and U = Then A2017U is equal to ... B

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Q: Fits a second-order Newton interpolation polynomial to estimate Log(10) with the following data,…

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Q: Question 2. Approximate the roots of the polynomial f(x) = X° - 7X + 6 using False-position method.

A: To approximate the root of the equation using false position method .

Q: 1. Consider A = (0, 4, 2) , B =, (6, –1, 0) and C = (3,0, 1). (a) Find the unit vector having the…

A: Given,A=0,4,2, B=6,-1,0, C=3,0,1To find: a) Unit vector              b) Sketch of the unit vector…

Q: On the coast there are three lighthouses. The first light shines for 3 seconds, then is off for 3…

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Q: Consider the following IVP: y' = et; y(0) = 2 Find the general solution. y(t) = 1 – e¯ 1- A В y(t) =…

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Q: Determine the general equation of the plane containing the points P(1, –4,–5), Q(2,0, 13) andR 3…

A: The given points are P1,-4,-5, Q2,0,13 and R-3,34,6. Position vector is to be find by subtracting…

Q: Suppose a person begins walking away from a light pole at a constant rate of 0.88 meters per second.…

A: Given- Suppose a person begins walking away from a light pole at a constant rate of 0.88 meters per…

Q: The following data is given: -0.2 -0.1 0.2 0.7 1.3 y 5.2 3 0.6 0.4 0.2 Determine the coefficients m…

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Q: Given the differential equation y''+2y'+5y=0,  y(0)=−2,  y'(0)=2 Apply the Laplace Transform and…

A: We have to solve the differential equations by Laplace Transformation.

Q: Complete the following Truth Table А в сD (A B) (АЛB) (сOD) (C+D) |0 0 0 0 Item 1 Item 3 00 1 0 0 1…

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Q: The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern…

A: Given, Number of sections= 18Number of students= 2000Number of professors= 24To find: Number of…

Q: Consider the following IVP: y' +y = e2t ; y(0) = 0 Find the general solution. 1 -211 A у () 3 21 B)…

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