(e) The solution, u(x, t), of a wave eqution on a closed interval under certain conditions is given by: 8. u(x, t) = b, sin(3nat) sin(nrx). %3D n=1 If u:(x, 0) = 1,0

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Q: ³ sin y - 3) = √10 ² Let f(x, y) dt 1 + cos² (t) 16 Then f (2, π/6)=

A:

Q: cos(2) is equal 1 اخترأحد الخيارات 2-2 sin(z) dy dx dz 2 – z 4-2 r/2 sin(2z) dy dx dz 4 - z z-2 cx/2…

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Q: " + y = 12 cos 2x - sin x. A. " + y = sin 3x +4 cos x. A

A: Given: y''+y=12cos2x-sinx

Q: (1) (II) 10 F. 10 +t 10 10 -10 -10 (II) (IV) 10 10 斗t 10 t 10 -10 -10 a) y = 10e-t/2 cos 2nt b) y =…

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Q: 7. Integrate: S sec? (n²x)dx A. 2n tan n² + C В. x sec2 п2 + С C.금tan(T2x) + C D. x sec nx + C 8.…

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Q: 5*-1 a) If y =Vx* +sin (5x)+ 2 then dy fınd dx b) If y = e2*sinx, then show that d²y =…

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Q: 2) f(t) = 4t3 sin %3D

A: we have to find Laplace transform

Q: Q1:Find dx for the following a) y = tan-(sinx) + In (sec2x) + 8tan5x + etm

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: dx Xex+10, Complete the Square.

A: Given,          ∫1x2+6x+10dx

Q: x³y' +3x?y" +xy' +8y=xInx Select one: a. YG.S +x(c2sin3lnx+c3cos3Inx)+x ( Inx -) - Inx: b.…

A: Given equation is  x3y'''+3x2y''+xy'+8y=xlnx            (i) Let x=et. Then…

Q: Compute / 7(t)dt for 7(t) = (t – 2t, 7, cos (2t)) %3D А. 1 sin В. B. G*-t, 7, sin (2t) ) + č С. tA –…

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Q: | The wave functions for two waves traveling on a string are described by: y (x, t) = A sin (2mx –…

A: Given: The wave functions for two waves travelling on a string are described by: y1(x,t)=A…

Q: Q4) Choose correct answer: 1 csin-(cosx) dy dx = 1-п а. 1-n b. -2 1+n С. 2 1+n d. -2

A: The given expression is ∫01∫0sin-1cosxdydx.

Q: 7. Set f(x) (a) (b) (c) (d) = 2 +4 8 cos 2x, 2sin2, + e-8/2 s² + 4 S s² +4 8 8² +4 (e) None of the…

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Q: Beta Function dx 3) Evaluare ta) "(4 – u)". du, (h) Ans. (a) 12л. (h) п 3x -x

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Q: Q1: Find 1) e (3 + e6t)2 2) l {e-3t (t + 1)²}

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Q: Find z(t) for X(s) = 8-2 %3D $(s+ 1)(+9) Select one: O a.z(t)3D-86(0) + 금etu(e)-뷰.e 2.cos3t. u(t) +…

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Q: Which of the following is a 1-form? In the case of a 1-form express it as a linear combination of…

A: A 1-form is a linear function ν: φpℝn→ℝ that is v∈φpℝn Given  φνp=ν·dx1,dx2,...,dxn…

Q: ㅠ [sin(y) sin sin (y) sin² (y) 1+ cos(y) dy KIN

A: We will use substitution method to integrate.

Q: (c) y/" + 4y = 3r cos(2r)

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Q: df Apply the first order backward difference representation of dx [f(x) = f(x − h)]/h vf = 2ππ L to…

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Q: Q.13.a) s dx x2+2x+1 b) Sx sinvx dx dx c) J Tx+V% 1E / E

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Q: [cos x - sin x 01 If f (x) = | sin x 0, show that f(a)f(b) = f(a + b). 11 cos x

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Q: sinx+5* dy for y=In dx e3Xtan(x³) O a. Some other answer cosx+5*In5 3x²sec²(x³) - 3 tan(x³) b. dy dx…

A: We have given y=ln(sinx+5xe3xtan(x3)). Let us simplify right hand side using logarithmic…

Q: (D² – 2D- 3)y = 2sin x a. y, = -cosx – 2 sinx =csx COSX b. y, = --cosx - - sinx COSX c. Y; = - cosx…

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Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

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Q: Can you explain how all A B C D terms are calculated

A: Solution of the given question is like as

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A: Solving , Auxiliary Equations

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Q: v (t) x w (t)=((t)i + (sin t)j + (cos t)k) x ((3t)i + 2k) ijk t sint cos t 3t 02 =(2 sin t)i + (3t…

A: The cross product of two vectors A and B is given by:A=ax i +ay j +az kB=bx i +by j +bz…