Calculate the inverse Fourier transform of: F{T(t)} = f'(t) = e¯ -2iw 2k sin(aw) Use the property: Translation in the variable t- F{f(t – a)} = e¬iwa f (w)

Q: 3 Compute the Fourier transform and inverse of the following inputs use fourier matlab function : •…

A: (1) rectangular plus Input syms a b t f = rectangularPulse(a,b,t); f_FT = fourier(f ) Output f_FT =…

Q: Hfe Rfa, bj, prove the triangle ineguatity for integrats: , ) drs (Hint: Recall that ƒ - f - S…

A:

Q: For the given periodic function give the analytical description of f(t) for the range 0<t<2: -2 -1…

A: Analytical description of f(t)

Q: ー号。 14-y2 7- XP X 3 dy

A:

Q: Determine the general solution to the differential equation dy 2 e2 dr Vy n implicit form a

A:

Q: What is Newton's method? What are its advantages and disadvantages compared to the bisection method?

A:

Q: Red Purple Orange Green Boys 2 4 4 5. Girls 4 1. Which is higher, the percentage of boys who pref…

A: Solutions

Q: Shów your work. Question 1 [. 小 a) [ : Determine whether the series 1 Σ n=1 (4n- 1)4 is convergent…

A:

Q: 3. (a) Construct a graph with six vertices and degree sequence 1, 1, 2, 2, 3, 3. (b) Construct a…

A: 3. (a) Construct a graph with six vertices and degree sequence 1, 1, 2, 2, 3, 3.   (b) Construct a…

Q: Which of the following is true? O A p-series is divergent if p > 1. none The series E(-1)" -1, 2 is…

A:

Q: Solve the following equation step by step and check your result 2* – 4 = 0

A: Given the equation z3-4=0. We will find the roots of the equation using the De Moivre's Formula

Q: 4e3t -2e-2t 5e If A(t) = %3D -5e3t dA find 4e-21 -4e' 7e3t dt -be-2t 5e ? ? ? ? ? ? ? ? ? II

A:

Q: Question 3 (- : Consider the differential equation x²y" + 3xy' - 3y = 3x - 2x³. %3D -3 (a) Verify…

A: We have to solve the given problem.

Q: ined the genral solution 8) (D + D,)u = 0

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(V2t), y(0) = 11,…

A:

Q: (b) Prove by Induction that (3i – 1)(3i +2) = 3n +6n2 +n for n21 i=1

A:

Q: Which of the following points is the central projection of the point (4, -8, 14) onto the plane x=2?…

A:

Q: [5] Use the Milne-Thomson circle theorem to find the complex potential w(z) when the flow takes…

A: Solution :-

Q: 1. If the radius of a spherical balloon is increasing at the rate of 3 cm/s, which of the following…

A: We are only allowed to solve one question at a time so we will answer only the first question.…

Q: Consider a rectangular plate with width w and hight h. If the temperature at all edges are kept to…

A: Given: The solution of the given problem is ux,y=∑n=1∞ancoshnπwy+bnsinhnπwysinnπwx. The boundary…

Q: (xy" cot coos +y)

A:

Q: Ise the Milne-Thomson circle theorem to find the complex potential w(z) when the ow takes place due…

A: Solution :-

Q: g of gas occupying 0,7 m³ had on original temperature of 0.25 15 °F. It was then heated at constant…

A:

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -110 feet per…

A:

Q: solve the following first order differential equations (Variable separable)

A:

Q: 2n+1] + 3n (-1)" 4n n=1 3.

A:

Q: Debbie is lying an the ground loaking at a tree. She sees the top of the tree from the ground level…

A:

Q: 7) Determine whether the function f(x) = 2Vx satisfies the conditions of the Mean Value Theorem on…

A: Mean value theorem,to find the vu of C.

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: To find the surface area of the below plane if it is in the first octant. 15x−5z+20y=35

Q: (1+y) ニ。 dx

A:

Q: Pu subject to the initial conditions u(1,0) = f(x), and du (z, 0) = g(x). a. Using the…

A:

Q: Let V be the vector space of all functions from R to R and W, = (/:(4) = 3 +f(2)} W, =/: 2{3) =(1)}…

A:

Q: Show that (2o + h)" – 2ö = nz- | n-1 lim h→0 h for any zo E C.

A: To show: limh→0z0+hn-z0nh=nz0n-1for any z0∈ℂ

Q: 00 L {2e=St + 81} = 2 / eto+sW dt + 8 e-(s+5), te dt Select one: O True O False Using the method of…

A:

Q: 3 dy to ニo 2 +Sinx COSX dx

A:

Q: 9. If a, =1.57, a, -(-1) -11. b, --)" f(t) and period f(t) =f(t+4) up to n=2 is then the Fourier…

A: Fourier series of the function

Q: Ee whether or not fn converges uniformly nclusion. b) (0, 1)

A:

Q: 10. If it is known that the periodic function f(t) contains even harmonics only, which Fourier…

A: Let us consider a function f(x)  in the interval [-L,L] such that function is an even periodic…

Q: + 3x2 + s1 =90 if x p and s1 are 5x1 2x1

A: Solution:-

Q: C.CE diff. eqs. 8. x³y" +x² y" – 2x y' + 2 y = x³sinx |

A:

Q: By fixed-Point Iteration, evaluate f(x)=x² -x-e*starting at x1 = 0.

A: Solution:-

Q: (a) Evaluate the triple integral dV, where E= {(x,y,z):0<x< 3, 0<y< 3, 0<z< 2). %3D (b) Evaluate the…

A:

Q: [5 2 0 similar to B; if no, explain why not. Let B = Is the matrix B orthogonally diagonalizable? If…

A:

Q: Use the following methods to solve for the root of the equation f(x) = xe¯* – sin?x хе

A: The Newton Raphson method is used to find the approximation of the root of a differentiable real…

Q: Determine if the functions in each pair are equivalent. Provide mathematical proof or justification…

A:

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A:

Q: Define T : R2 R? by T (x) = Ax with A defined below. 7 3 A = (a) Find a basis B = {b,, b2} for R?…

A:

Q: For the following exercises, match each function with one of the graphs pictured below D. E 14. f…

A: For the exponential function of the form: y=abx, b is called the growth/decay factor. If b&gt;1,…

Q: Determine the resultant r of the given forces. (Assume f, acts in the positive x-direction.) f,…

A: Here f1 acting due to east with a magnitude of 14 N, f2 acting due to north with a magnitude of 13…

Q: provide a clear and detailed solution for each question. Question 1i ! Given the solid E that lies…

A: