Does E(X|Y) = ∫(x*p(y|x)*p(x))/p(y) dx?

Q: Evaluate: a In(x + y) e-y. dy dx

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Q: Vx 3 1- evNīdy dx - 3 y3 e*y dx dy

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Q: 1-X 1.S.S C14 X) dY dX (1-x) dy dx 1+X

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Q: Use Version 1 of the Chain Rule to Calculate dy/dx

A: y=5x2+11x20Chain rule:dydx=dydu.dudx

Q: In(x²+x)-Inx-elnx dx In(e(x+1)

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Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

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Q: e2x-1 If y = prove that = 1- y² dx

A: Given :y=e2x-1e2x+1

Q: Find y': y = ez² + 3x² + e²e Oy = e + 3x ln x + e²ex Oy' = e + 3x²-1 Oy = e + 3x² In a Oy = e +…

A: Given y=e12x+3xe+e2e Given query is to find the derivative y'

Q: d- . -x e-(x² +y²) dy dx -(x²+y²) dy dx

A: We can answer one question as per the honor policy. Please resubmit other question as well to know…

Q: e2x -dx =D 1+ex (A e2x + In(1+ e*) + c B 2e2x – In(1+ e*) + C © e2x – In(1 + e*) + C D ex- In(1+ e*)…

A: Integration

Q: Calculate  d2y dx2. y = e−x + ex d2y dx2 =

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Q: Find dy/dx for xy − ey = 2.

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Q: 1 What is S dx? x²+2x+5

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Q: What does f(z) dz mean?

A: Given that: ∫f(x)dx

Q: Example 3: Estimate S, x² dx with n=4 by Midpoint Method. Solution:

A: Here first we will divide the integral range into 4 equal parts and then we will calculate the…

Q: Evaluate: e-y- [²" [m(x + y) - 7] dy dx In(x 0 x

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Q: -2x y" + (e by = 0 (e-* = z) -

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Q: e2 1 dx x In x e

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Q: Find * dy ,If y 3 dx + x O x^2 + x O x^3 + x^2 +1 O x^2 + x + 1 O 3x^2 + 2x + 1

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Q: bernoulli dy dx + X = - 9.5 -xᵒy

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Q: g(x, y) = sin (T ¤y) + log3 (x – 3y) -

A: The given function is                          gx,y=sinπxy+log3x-3y…

Q: 4. Using homogenous D.E approach, solve (x³ – 3xy?)dx = (y3 – 3x²y)dy.

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Q: +y Evaluate dz dy dx 20 3 0 -3 0 00 -10 -4 0 10 -2 0

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Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

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Q: Find dy/dx.  X4y1/3 + e7x - y = (x3 - 11)6

A: X4y1/3 + e7x - y = (x3 - 11)6  dy/dx = ?

Q: f cos 4x dx 2x dx S (x-2)²(x+2) x2 dx √4-x²

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Q: Q4 Find dy for all of : dx 3 x(x-2) 1- y = xvlnx 2- у %3 V x2+1

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Q: dx - My- dy -5+e

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Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

Q: a1/so/ 1- dx= 3y° E=X dy

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Q: 4- S" e-x* dx 5- Vy e-y² dy

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Q: d Show that In dx 1 (a) x+2 x* +3x +2 1 (b) Hence find the exact value of dx in simplest form. r*…

A: iii.a. Quotient rule of differentiation states that ddxfg=f'g-g'fg2 Chain rule of differentiation…

Q: dx -x = ev/2 x3 dy 2)

A: By using linear differetial equation method

Q: SSS(x² + y²) dV where E lies between x² + y² +z² = 4 and x² + y² + z² = 9

A: E

Q: d*y dy is dx x dx ferential

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Q: 'a-x - dx atx valuate

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Q: dy - Sy = -xy* xy² dx

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Q: dx 1. S. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

A: Note : as per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the integrating factor: dy 3y = x (1 + x?) dx e3x None of these e-3x x3

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Q: If S x²+x-2 (x2-1)(2x-x²) dx AS + Bf f(x) dx + D f g(x) dx, then x dx can be resolved into A ...

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Q: f- dx dt - 4x=2e²¹ + e*; where x(0)=0

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Q: 3x 6 1 -In xy dx e-In √x dx +dy +=dx = e-mxx y X

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Q: In x Find y' if y = e3 1 – 4 In x Based on your work from (a), evaluate - dx. -5

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Q: Find dy/dx for ln(xy) + e2y - 5x = 30

A: Given: lnxy+e2y-5x=30

Q: (b) Integrate x-³e-l/a², dx

A: Here we can find the answer as below.

Q: - if eV = In(x) + In(y) + e³ ху 3 Find dx

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Q: Find dy/dx by the implicet differentiasion x2+y2=64

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Q: ne differential ay of 'uonpuni y = V 5 - x2

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