a 00 0 b b 0 0 Using cofactor method, prove that det N = ab'c'd +P P P P

Q: 1 Je* sin( t)dt 1+s* -st Prove that 2

A: We have to prove that:  ∫0∞ e-st sin(t) dt=11+s2

Q: (D² - 4D + 5)y = e*; y a. y= e²*(C,cos2x + C,sin2x) – –e 10 b. y e2*(C,cosx + C,sinx) +e 10 C. y =…

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Q: Solve the differential equation by variation of parameters. 1 2 + ex y" + 3y + 2y =

A: The given differential equation is y''+3y'+2y=12+ex. The objective is to solve the differential…

Q: function fo) = 7X1+10x10x3_4 Qn Antiderivative of fo) is F(x) = Axn+ Bxm, CxP+Dx: A= 710 %3D where…

A: Solve the following

Q: の x?. xy- yーx find %3D of 3 f Fex)こ X²+5x+2 Find f cl Q Let texl= goe) Find fezt ifgeziz=3_ find…

A: Differentiating the functions

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: dz Given that xy + z³ + sin(xyz), find dx O -2xy – xz cos(xyz) 3z2 + xy cos(xyz) O y + yz cos(xyz)…

A: Detailed solution I have given you...hope you will get it easily...thanks

Q: Prove that B(m, n) = B(m + 1, n) + B(m,n + 1)

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Q: Find nd cos(z ² + y²)dA where D = {(x, y) | 16 ≤ x² + y² ≤ 81} D

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Q: What is the B of f(x, y) = tan (x3³+ 2xy)? [sec ² (x²y³+ 2xy] (3x²y² +2x) [sec² (x²y³ + 2xy ] (+²+*+…

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Q: Evaluate I= √ (sinx+2y) dx + (6x+y)dy for the non closed path ABCD in the figure.

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Q: = Evaluate S₁2₁,22,23] f (2) dz where 21 = −i, z2 = 2 + 5i, zg 5i and f(x + y) = x² + iy

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Q: Prove BCスツ+)B[スかリック =B(X1y)

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Q: Q: Solve on white page clean and stepwise: Let f(x, y, z) = sinxyz, g(x, y, z) = x²yz, U = x²yi –…

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Q: Q: Solve on white page clean and stepwise: Let f(x, y, z) = sinxyx, g(x, y, z) = x²yz, U = x²yi –…

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Q: a) Find the value of + 1) tdt by using the substitution u = +1

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Q: dx is equal to xlnx/ In?x - 4 A none of these sin-1 ´Inx + C -1 sec Inx + C 2 sin-1(플)+ Inx 2 2

A: Given:

Q: f(x)=Vx+10 X-4 Damain af flxt Donain of fle(x)) =

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Q: Find curl F if F(x,y,z) = 7exy i-8 cosy j +5 sin²z k. curl F = -7xexy k curl F = -7xexy i curl F =…

A: In this question, we want to find the curl of given vector function.

Q: Prove that 3x +8 Viv = dr dy: %3D where R [-1,1] x [0, 2).

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Q: Show that fi (x) = x, f2(x) = cos 2x are orthogonal on

A: Given that, f1(x)= x, f2(x) =cos2x and interval is [0, 90o] Wehave to find that the functions are…