O Evaluate the cross power spectrum, given the cross correlation of two process X АВ (t) and Y (t) is Rxy (t, i+ t) = -[sin @, t+ cos @o (2t + t)] %3D 2

Q: If r(2) = sin(z² – 10z + 16), find r' (z) =

A: Since, we have been given that r(z)= sin(z2-10z+16)Our Aim is to find r'(z)=?

Q: 31²+1 dt = Compute:

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: in integating the function fxcos(3r) de using integration by parts, what would you choose for your…

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Q: Exercise : Find dy O y = 1ox +3 Co sx Oy=cscxm4X+7 Catx 1+ Cotx

A: Note:- As per our guidelines, we'll answer the first three sub-parts of this problem. Please…

Q: y" - Y+1 = cos(+) u(

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Q: 2 (Dx-2Dx0y +Oy)u= 3Xy %3D AMS. 4

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Q: - 5x² + 2y? = 4 5y² + 3 = x² sin(x + y) = 2x

A: According to guidelines we can answer only three subparts, or first question and rest can be…

Q: Integrate (a) S2(* dt (b) S(x+1)³ dx (c) cos(-x)(x²)dx

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Q: Consider the DE y"+exy'+ (sinx) y = ex+2lny then the order of the DE is ✓ and it is

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Q: Integrate the function. S dt o. O. V6-R+ sin'1 6t + C 6t o. + C 612 o. 6t 16-12

A: We can find the integral as below.

Q: (у — siny)(y'сosx — cscy) :

A: Solve the differential equation                          (y'-siny)(y'cosx-cscy)=0

Q: Find VV when (a) V = x² + y + ? y. (b) V = z sin (c)V = e+y+tz.

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Q: (a) Find all second partial derivatives of f(x, y) = e² + tan(x + y?) (b) Find and classify the…

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Q: linear or not linear? 1) dy 1ax +exy = x²4² dx 2) y + e* sinx= x³y² 31 y\nx - x²y = xy! 4) dy + cosy…

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Q: dy cosx+ ysin x =1 dx

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Q: Determine the general solution: (dx/dt)A3 - (dx/dt)^2 - 4x = 0 Select the correct response: O y= c1…

A: Topic:- differential equations

Q: Determine which of the given differentials is/are exact. In case it is exact, find the functions of…

A: For a given differential A dx +B dy +C dz Where A,B,C are function of x,y,z  will be exact if for…

Q: • Find the correlation coefficients between: • x(1) = A, cos(@f) and y(t) = A, sin(@,t). • x(1) = A,…

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Q: x² + 2x – 3 dx 2x + |x – 3| 1. 6 sec 2t + tan 2t dt 2. Cos 2t kloc

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Q: (c) Use the chain rule to find the derivative of the function z = 2xr*y³ – ry² along the curve given…

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Q: Ti Ti to 8 Integrate cosh(4z) dz, C any path from - 8 Use the first method, if it applies, or use…

A: Using:- sinhx = -isin(ix)               Sin(-x)=-sinx               Sin (pi/2)=1

Q: 3. Consider the periodic system y' = A(t)y, -1+ 0t 1-ost sin |-1- sint cost ) 3 cos2 2 3 3 A(t) = 2…

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Q: Q3 By using the derivatives transformation find the transfer of the function a" (t) + æ(t) =…

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Q: dy 1. dx = 6y d y 36у dx2 dy = -36y dx2 2. 3.

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. So, we will answer…

Q: dy sin(2x) with initial condition, y dx +

A: The detailed explanation of above differential equation is written below.