In the electric effect, the work function of the any metal independent on the light Intensity ylgn O İhi

Q: (c) x(t) = eat cos s wtu(t), a > 0 (d) x(t) = e-af sin w,tu(t), a > 0 %3D

A: Let xt is a function. The Fourier transform of the function xt is denoted by Xiwor Xf and defined by…

Q: Tentukan pembuktian dari pertanyaan yang dilingkaran biru

A: As per norms, the first three questions are answered.To prove the required identities and compute…

Q: Exercise 2) Find D constant in the following O(0) function O= D Sin? 0.

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Q: showw that the c'ffective value or (r.m.s) f sin- Wave Current w.th peak current Im in Im Im to wt

A: In this question, the effective value or r.m.s. value is calculated using the concept of…

Q: Exercise 3. Verify the following equalities: a) -st sin t dt = (1 – e 28) L[sin t](s). (1-e

A: Given, Verify the following

Q: Wt is a Brownian motion under the actual measure and Wt is a Brownian motion under the equivalent…

A: Given: Under the actual measure WT is a Brownian motion. To find: The value of EcosWT and of…

Q: Eliminate the Arbitrary Constant •y= C, e¨cos3X + C, e**sin3x •y. Ac" + Bxe* y: x*+C,c" + C, e**

A: soln 1 y=Ae2x+Bxe2x    diff with respect to x∴y'=Ae2x(2)+Be2x+Bxe2x(2)…

Q: Evaluate in terms of gamma function: x°e-3¤ dx O r(7) Or(17) O(7) OI(7)

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Q: If an electrostatic field E acts on a liquid or a gaseous polar dielectric, the net dipole moment P…

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Q: Evaldate the Fallewing integ rals; (1-Sin 2t) cos2 t d t

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Q: 31. If an electrostatic field E acts on a liquid or a gaseous polar dielectric, the net dipole…

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Q: lue of c is the following function co: CO In (cxy+1) if (x, y) + (0,0) 4) = ху

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Q: If f(x,y)=log, (cos²(e* ) +si f(x,y) is ây ôx + sin(x+ y) then %3D

A: Given that: fx,y=logecos2ex2+sinx+y To determine ∂∂y∂∂xfx,y

Q: Show that the functions f and g are identically equal.

A: Given: fθ=1-sin θcos θ-cos θ1+sin θgθ=0 To Find:  To show that fθ ang gθ are identically equal.

Q: Write the DE, e" y' + e2y= sin a in the general form.

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Q: Exercise III (a) Let I = psin(ø) cos (0); y = p sin(6) sin(0); pcos(6). Then find the following. (i)…

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Q: cosi in the form x+iy = %D

A: By using Euler's relations we can find the value of cos i

Q: consider the analog signal x(t) shown below. The Nyquist rate is X(t)=3cos(507t)+sin(200 at) O 200…

A: Nyquist rate

Q: Show that cos A x e 2 *,x2 0. %3D

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Q: Is the function A cos (ka - wt = psi) a function of the operators ^ E and ^ T?

A: yes this is true

Q: show that the given function is of exponential order. Q. f(t)=cos2t.

A: Given: f(t)=cos2t To Show: The given function is of exponential order.   Concept:

Q: du 4. (a) If u = log(x³ + x*y + y°), prove that x=+y = 3 du (b) If u = tan-' (x² + 3xy + y²) , prove…

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Q: Find the indicated power using De Moivre’s Theorem (a) (1−i)^10 (b) (√3−i)^−5

A: a). Given,

Q: The function Re Cos z is harmonic in the C.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the average power of the signal: x(t) : = cos x + sin x (-7/4, 0) (7n/4, 0)

A: From the given graph, it is observed that the period of function is T0=7π4--π4=2π. Compute the…

Q: Show that the function e cosy ti Siny) is an andlytic Runction 2 W= Sin Z Q2. Determine whe ther…

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Q: The charge entering a certain element is shown in Fig. 1.23. Find the current at: (a) t = 1 ms (b) t…

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Q: cos? e + cose +1 = 0 [0,2m]

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Q: T/2 COS z xp V4 - sin? a

A: givenI=∫0π2cosx4-sin2xdxsubstitute  sinx=t therefore limits will change t=sinπ2=1  to t=sin0=0after…

Q: .Inside the outer loop of the limason r 1-2 cos e

A: Given that r=1-2cos(theta) We have to find area.

Q: f(t) = -3+4 cos(,(t – 3 ).

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Q: Find the value of ∫tsin(t)cos(t)

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Q: The annihilator operator form for the function e + cos(2x) is:

A: The annihilator operator form for the function ex+cos(2x) .

Q: Use a computer algebra system to evaluate (x2 – 2xy) dS. (Round your answer to two decimal places.)…

A: Here we solve the given calculus problem.

Q: Find the charge on the capacitor and the current in an LC-series circuit when L = 0.1 h, C = 0.1 f,…

A: To find the charge on the capacitor and the current in an LC-series

Q: Evaluate the iterated integral. cos(e) 3r2 sin(e) dr de

A: Given query is to find the value of the integral.

Q: Use the Second Fundamental Theorem of Calculus to evaluate cos (E) dx.

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Q: (a) If f(x,y) = e" siny – e" sinx then verify that fry = fyz-

A: This question is related to partial derivatives.

Q: Evaluate |F dr where C is a logarithmic spiral that goes from the point 1,,2 to (2,1, –1) and C F =…

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Q: L[t cos 2t

A: Please find the detailed solution in below images

Q: The complex exponential e is defined as: e* (cos (y) +isin (y)) O e*+iy e* +e O cos(y) – isin(y)( -

A: First two options are correct.

Q: is When a wire moves through a magnetic field a produced in the circuit. O a electric current O b…

A: The solution is :

Q: Use Fundamental Theorem of Calculus to evaluate the following: d a) sin t dt dx

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Q: (a) Define the following hyperbolic functions directly in terms of the exponential function (i)…

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Q: Verify the rule by differentiating ∫ du/(a2 + u2) = (1/a) arctan (u/a) + C . Let a > 0.

A: Consider the given integral identity. ∫dua2+u2=1aarctanua+C Differentiate the LHS of the equation…

Q: find Fourier sertes [0, 2w] an O f = X COS X

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If V) AT sin (2 Tf t)/(2 TfT), find the energy contained in v (t).

A:

Q: If f(x, y) = log,(cos (e* ))+ sin(x + y) then f (x, y) is ây ô x %3D

A: To determine ∂∂y∂∂xfx,y if the function is given by, fx,y=logecos2ex2+sinx+y

Q: Q: Show that the signal x(t) = sin(@ t) is a periodic signal.

A: →Any function x(t) is said to be periodic, when,…