P xht 1. Decompose f(x) = into three basis functions. sin a 1. The graph of ƒ (2) is given below. Based on this graph determine where the function is discontinuous. Back to Probi Section 2.9: Continuity - Practice Problems Solutions Show Solution▸ here to search 道 e -6-5 -3-2 3 5 Contact Mal (Drivacy Statement Site Hala & CAO Terme of leal 135 Result

Q: dg 1 дд If g(x, y) = xy + y ln(ry), show that ду + y dr = x+ In(xy). dxðy

A: given: gx,y=xy+yln(xy) we have to show that: ∂g∂y-∂2g∂x∂y-y∂2g∂y2+1y∂g∂x=x+ln(xy)

Q: Q1. Let f = u + iv and f(z) = z. Prove that u and v satisfy Laplace's equation.

A: I have find the U and V first then the laplacian of that.

Q: sin(32) Let f(z) and C: |z| = 1. Then ſ. ƒ(z)dz = %3D (1-2);z а. О b. Злі c. -6ni d. None of the…

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Q: sin(32) Let f(z) = z²(z-m) and C: |z – n| = 1. Then f. f(z)dz = а. О b. 2ni с. -2лі d. None of the…

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Q: 1 2 3 1 1 2 0 1 2 Let A = Find A5.

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Q: Find L{f (t)}using the First Shifting Theorem, Note: a, b, e, w, k and n are constants 1. Il…

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Q: Use the change of variables X1 X2 X3 X4 = = G(r, 01, 02, 03): = to compute the content of the 4-ball…

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Q: x2 , Ix1 a = find Fourier transform of f(x)=

A: To determine: The Fourier transformation of  f(x) = x2 ,     x<a 0 ,       x>a

Q: Show that, cosh-1 x = In (x + /x² – 1)|

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Q: Show that 8(x) E Q, which will h.q.h-¹ EhQh-¹ is also an element of Q. Hence 8(x) E Q so that x E P.…

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Q: Find the Fourier coefficients a0, ak  and bk off on [ - π,π] .                                 f(x)…

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Q: Let a, b, c and d be real numbers and consider the third order ODE ax"'(t) + bx"(t) + cx'(t) + dx(t)…

A: In this question, we find the first-order system of differential equation and then find the…

Q: Show that A = has two different factorizations of the form A = L · U where L is lower triangular…

A: Given: A=0001. To show: A has two different factorization of the form A=L·U, where L is lower…

Q: Let u = and v=. (a) Find ||u||. (b) Find u – 3v. -

A: Given: u=1,4,3  and v=2,0,-1

Q: Prove or disprove: If (n) and (yn) are subsequences of each other, then n = yn.

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Q: 1 F(@) =: 2 - w?+j3w

A: It is known that .  Use the formula below to compute the inverse Fourier transform.

Q: True or ‏False

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Q: O [-5, -1) U (1,6] O (-5,6] O [-5, 6] O (-5, -1] U [1, 6] Find the domain of r(t) = (ln(t + 5),…

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Q: Q2-A) Find Inverse Fourier transform of f(t) +E+ + j10ws(w) 3+jw

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Q: Given 30<t ₹2 10 elsewhere find Fw), the Fourier transform of ƒ(t). Compute the values of F(0), F(1)…

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Q: if the Legendre polynomials P.(x) = -1 then: Find 1) ,x* P,(2) dx 2)P'(-1) A) L P.) dx = and P,(1) -…

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Q: 4 Jxdx = 1

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Q: 8. Find the value of a if F = (axy-z)i+(x+2 yz) j+(y - axz)k is irrotational. %3D

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Q: { x2, Ix1 a ||

A: Given function is f(x)=x2     x&lt;a0      x&gt;a let the Fourier transform of f(x) is F(s) So we…

Q: Let f(z) : D C be a complex function. Is it possible for both f(2) and f(z) to be analytic? 2. • If…

A: Solution

Q: Can you help me slve this differntial equations? Show steps and solutions if possible. a. (siny -…

A: Since you have posted a multiple question according to guildlines I will solve first question {i.e…

Q: Q8 Find the Fourier transforms of: 0- (0 f(x) = sin² -р² <x<p² otherwise

A: Q 8. Given,                f(x)=psin2xp-pπ≤x&lt;pπ0otherwise.

Q: What're the residues of the function z/(z + 1) ? a. 0.25i and 0.75i b. -0.25 and -0.75 C. others d.…

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Q: 2-Express each function in the form u(x, y) + iv(x, y), where u and v are real, (c) ez2 (d) In(1+…

A: We have to write in u(x,y) and v(x,y) form.

Q: a

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Q: Let V O The line x+y=2 O The line x+y=1 O The line x+y=0 O The line x+y=-1 O The line x+y=-2 = R²…

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Q: Find B so that BH B = A where A is from (1).

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Q: Let f(z) : D → C be a complex function. Is it possible for both f(z) and f(z) to be analytic? • If…

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Q: Determine the Fourier transform of the function f(t) = H (t)e-5t

A: Heaviside unit step function, H(t)=0,t&lt;01,t&gt;0By the definition of Fourier transformation,…