8.(a) Find the Fourier transform for the function cos x, -n/2 < x < 7/2 |x| > 7/2 f(x) = 0, (b) Use the result in (a) together with Parseval's theorem to evalu- ate po cos²(xT/2) dx. (1 – x²)2 2 cos(tw/2) Ans: (a) 8.

Q: G is the surface that is expressed by the vector function below: R (a, b) = (a,b ) E R². | The task…

A: Given is a surface that is expressed by the vector function R(a,b)   To Determine: An equation of…

Q: Consider the pdf shown. Determine (a) the constant b in terms of a. (b) P(X>a). (c) P(a < X< 3a).…

A: As per the policy of bartleby the provisions is to solve only three sub parts at a time

Q: You are given that B = {1+2x², 1 + 2 + 3z,-8z- 5z²} is a basis [5 for P2 and p(x)]B =4.f p(¤) = a+…

A:

Q: D. E +xy = axj Solue %3D D

A: Bernoulli's differential equation.

Q: linear systje is defined by the following equatiosn, -1, -xi + x2 - x3 2x1 + 6x2 – x3 6x1 + 5x2 +…

A:

Q: Question 21 Let V = {(x, 4) x E R}. You are given that (V,O, O) is a vector space with (1, 4) Đ (72,…

A:

Q: (FAB 4) Use Lagrange Multipliers to find the maximum and minimum values of f (x, y) = 81x² +…

A: Given f(x, y) = 81x2 + y2 Constraint: 4x2 + y2 = 9

Q: 1.1 Determine the following particular integrals: 3 1.1.1 2х D³ -8 1 Ka² – 3)e* } 1.1.2 D² – 2D +3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: SntXn stx

A: We have to test the convergency.

Q: Determine whether the following series converges or diverges. If the series converges, determine the…

A:

Q: Question 32 f 3 4 - Let S = 1 3 -7 1 8 -17 Which of the following statements describes the set S?…

A:

Q: If AT = ul v. A and if the vectors U and V satisfy Au 5u and Av = 7v, then True False

A:

Q: (a) Prove that the product of two even permutations is even.

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Let S be the solid inside the sphere p = 6cosøand below the cone 0 = 7/4 Set-up the iterated triple…

A: Here, we are given the solid S inside the sphere ρ=6 cos(ϕ) and below the cone ϕ=π4. Now, we will…

Q: 3-x Q1) Evaluate the integral * dy dx using polar coordinate

A:

Q: area insider= +GsG out side rel-ase in hrt quarter-

A:

Q: -3 5 11 M = N = -6 2 Find MN ii) Solve the Linear System using Cramer's Rule (or otherwise) -11x + y…

A: i)

Q: culate two iterations of Newton's Method to approximate a zero of the function using the given…

A: Using Newton method we have fillup the given system.

Q: 8. 1 3 7 k 4 Let A = If the dimension of the eigenspace corresponding 8. 0 3 to eigenvalue 8 is 2,…

A:

Q: O Find valume bounded by %3D

A:

Q: engineer, and a teacher, not in the same order. They also have Daniel, Bobby, 14. There are three…

A: .

Q: using polar cordinade to thd iasde -fnj +x. area

A: Area using polar coordinates is given by A=∫∫A r dr dθHere x=r cos θy=r sin θx2+y2=r2

Q: Solve: (dy/dx)? + (y – 1 – (x/y)) dy/dx - x/y(y– 1) = 0

A:

Q: 26. Write the third, fourth and-fifth terms of the sequence whose nth term is given by the following…

A:

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 – x from above inside x = y? ,x = 4 .

A:

Q: dT 4 dp = 0; T=To when p= Po dp pdT

A:

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 cos (-0) in…

A:

Q: Question 34. Let A be a symmetric matrix. Suppose that u and v are two eigenvectors of A…

A:

Q: . Find all the solutions of 3x² + 2x + 1 8 (mod 63).

A:

Q: Let V = {(x, 8) | x € R}. You are given that (V, Đ, O) is a vector space with (x1, 8) O (x2, 8) =…

A:

Q: Let V = {(x,6) | x E R}. You are given that (V,Ð, 0) is a vector space with (T1, 6) (x2, 6) = (x1+…

A:

Q: -(ソー1ー号)

A:

Q: Given P(A|B) =3 P(A|B^), P(A) = 0.02 and P(B) = 0.25 %3D %3D a) Find P(ANB) b) Find P(B|A) c) Are A…

A: Given that PA|B=3PA|BC, PA=0.02 and PB=0.25. a We have to find the PA∩B. Since, given PA|B=3PA|BC…

Q: (b) The diagr cubic fune it passes t

A:

Q: dy Find the general (real) solution of the differential equation ( y' = Y ): dx y"- 6 y' + 117/4 y=0…

A:

Q: Suppose that is an eigenvector of a matrix A with corresponding eigenvalue 8. Then x is an…

A: Eigen values corresponding to the eige equations.

Q: 3. Given the initial-value problem 2 = -y +a?e", +x²e*, 1< x < 2, y(1) = 0 with exact solution y(x)…

A: Given that y'=2xy+x2ex, 1≤x≤2, y2=0 with exact solution yx=x2ex-e

Q: Solve for the laplace transform  x(t) = 3(t-5)5

A:

Q: In Exercises 1-4, find the vector x determined by the given coor- dinate vector [x ]g and the given…

A:

Q: Gniert y=x to polor to polar ニ 22 と= tane to Cortesian r Sinl a 色) ta Gatssian

A:

Q: 4) solve D.E つと+y ーツ

A: Solution of the differential equation

Q: Find the special solution to the following partial differential equation: (D + D'-1)(D + 2D'-3) = 4…

A:

Q: 3. State the final value theorem. Verify theorem for the function 4+ e -2t (sin t + cos t)cm…

A:

Q: 2. dz dz dy

A:

Q: Find in side infort quorler aren r=2 aul sde r= 1+ Gas6

A: Area between the polar curves

Q: Find a power series representation for the function f(x) = iny and determine the radius of conver-…

A: Power series exaption of the rational function

Q: 6. Find a prime number p for which the equation x2 = -1 mod p has no solution.

A:

Q: Let y = Lal: Let L be the line spanned by u. and u %3D Write y as the sum of two orthogonal vectors,…

A:

Q: Given: x+5 The provided integral: dx V9 – (x – 3)²

A:

Q: Find the center of mas of the region bounled bry y - 28 - x, x = 0, y - 0 with mass density &x, y) -…

A: