Find the circulation of the Fİeld F(x; y) = 3xi+yj around the circle r(t) = (cos6t)i + ( sin6t)j;  0<=T<=2π

Q: -1 < x <0 The Fourier integral of f(x) = 1, 0<x<1 0, otherwise 00 (1 – cos(w)) sin(wx) dw lw 1. 00…

A: Given that fx=-1-1&lt;x&lt;010&lt;x&lt;10otherwise The Fourier integral of f(x) defined on -∞,∞ is…

Q: 92 that the elect ric potential prove -5x V = e Cos 13y sinh 12 Z achieves the Laplace equation اثبت…

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Q: Suppose an undamped forced spring mass system is driven by the equation + 9x = f(t), dt where the…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: The linear operator that annihilates anxn+an-1xn-1+....a0 is Dn+1 The linear operator that…

Q: Find the differential dy: y = In(sec² ( 3ª²–20+5 312-2x+5 O (E) None of the choices dy = 2 (x – 1)…

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Q: (a) x = t* - t + 1, y = t2 Select--- v (b) x = 2 - 2t, y = VE --Select--- v (c) x = sin(2t), y =…

A: Match the graph with their parametric equations.

Q: Let z = f(x,y)= x^3+ xy+ y^4    (a)  Use differentials to estimate Δz as x changes from 1 to 1.05…

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Q: Find the divergence of U = r cos 0 a, - sin 0 ag + 2r² sin 0 2 sin 0 3 sin 0 - r2 2 cos 0 3 cos 0 r2…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: The given function = cos 4x

Q: Given velocity field F = 2xi + (x - y)j and the closed curve r(t) = cos ti+ sint j, 0sts 2n. Find…

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Q: Use Laplace transform to solve the partial differential equation: d²u du du(x,0) = , t> 0, 0<x<1,…

A: Solution

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Si se utiliza la transformada de Laplace resolver la ecuación diferencial X"+ 5X' + 6X = 3t – 3e-3t…

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Q: What is the equation of the slant asymptote for the slope field created by the differential equation…

A: The objective is to find the equation for slant asymptote for the slope field created by…

Q: 40. An elastic string is stretched between r = 0 and r = l and is initially at rest in the…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Use Laplace transform to solve the partial differential equation: ²ud²u du(x,0) t> 0, 0<x<1, u(x,0)…

A: Solution :-

Q: In the presence of a uniform electric field a charge accelerates     indefinitely.     until it…

A: In the presence of a uniform electric field a charge accelerates Under the field perpendicular to…

Q: du d'u cos(-t) du 2- + u(x) = Cos I-2 du dr? sin(a-t)dt, rp u(0) = 0, u' (0) = 0. %3D

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: If L is a linear differential operator with constant coefficients and f is a sufficiently…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: 1. Show that the field F = (x + cos a)i+ (K +4 – y sin y)j + (2³ + K – 9)k is conservative and find…

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Q: A circular ring of wire of radius ro lies in a plane perpendicular to the x-axis and is centered at…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: B. Switch the order of integration: cos (x2) dædy. Just SET UP with the order switched. DO NOT…

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Q: To model the spread of a disease in a population of size N, the differential equation model == (kb -…

A: aTo model the spread of a disease in a population of size N,thedifferential equation…

Q: A uniform electric field of magnitude 400 N/C is directed parallel to and in the direction of the…

A: Given: Electric field of magnitude = 400 N/C Now, Electric field equals to the gradient:

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: A uniformly stretched string and fastened to two points 10 meters apart. The displacement of the…

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Q: Which of the following graphs is the slope field for 15/1 1~/1ST ~\~ in 13t-ii-i ~~~ -1 1 2 3 4 5…

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Q: Determine if the point x = 0 is an ordinary point, a regular singular point, or an irregular…

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Q: 10. Show that the function f(x, y, z) = e³x+4y cos 5z satisfies the Laplace equation.

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: a). Sketch the slope field of the differential equation. (x - y); within the Interval -3 ≤ x ≤ 3 -3…

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Q: T'y" - 5xy = sin 3ry is a second order nonhomogeneous differential equatic Select one: O True O…

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Q: Sketch the slope field for dy/dt=y2-4. How do the solutions behave as t approaches infinity? Is end…

A: Given differential equation dy/dt=y2-4. Sketch of the given differential equation is shown below :

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: Note: As per Bartleby guidelines, for 2 or more different questions asked, only 1 has to be solved.…

Q: a) By using convolution theorem, show that 1 1 (sin 3t – 3t cos 3t). 54 L- (s² + 9)² b) Using…

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Q: 3. Find the total differential of the ff. at (1, -1). f (x, y) = 3.x² + y² – xy %3D

A: Solution:Givenf(x,y)=3x2+y2-xyFormula:d(xn)=nxn-1

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We have to find a linear differential operator that annihilates the given function.

Q: (1) (a) Show that the given line integral is independent of path. (b) Evaluate the integral by…

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Q: du du du + u(x) = cos r- 2- cos(-t) d'u dt-2 / sin(a-t) dt, 2 dt dr? u(0) = 0, u'(0) = 0.

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Q: Consider a mass-spring system that responds to an external force f(t) in accord with the…

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Q: y' = x + y. A slope field and typical solution curves are shown for

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: a) Without doing any calculations, state whether the vector field: er sin2(xy) F = -V 1 + x*y4 is…

A: (a) Since ∇×∇=0 So, curlF=0 Hence, F is conservative field.