find the me value of funchio fix.y) = Sn+ 1y %3D 2n+y32

Q: M. y dV, where E- {(x, y. 2) | 0 x* 3, 0 yx, - yEs+y}

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Q: Which of the following equations determines E(XY)? // yf»(x, y)dydx * y xfry (x, y) / yfrv(x, y)dydx

A: which of the following equations determines E(XY)?

Q: Sclve th initial valu e probi dy + 2 . 3. dx3 dx? Y'c0) = 8 y"(0) = -4

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Q: Eliminate the arbritary contants of the equation below , where B is parameter. X= C, e pt + C2C -…

A: Explanation of the answer is as follows

Q: Find The order and degree for DiE? O dy %3D 2. %3D Jy? dyt 2 3X = e

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3evy dy 4, 18. &p y

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Q: Match the mathematical statement and the steps to arrive the correct answer of the given DE…

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Q: Given the e dz nd y, find ar

A: Given: xlny=zArctan3zy

Q: Given ey = x + y. Show that x +y (x + y – 1)3 d?y dx?

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Q: Determine whether the following equation is sep dy = ty – 2, y(1)= 3 dt

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Q: Find the values of the constants a, b, c so that F = (axy + bz*)i+ (3x² – cz)j + (3xz? – y)k Is…

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Q: If f(x,y)=xe/2,+37x?y3, then dx²əy³ at (1,1) is equal to

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Q: Find a solution of x dy =y?-y that pases du Through indicated points

A: For the given problem, below is the solution.

Q: х— у Given: z = x+y dz Find: ду dz — 2х dz -2y ду (х + у)? ду (х + у)? dz 2(х — у) dz ху ду (х + у)?…

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Q: csc?y dy is equal to A -у соty — coty dy B) None у сoty — coty dy D у сoty + coty dy

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Q: (a) Approximate the value of dx, using two and three points Gauss Quadrature Vx+A A: O

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Q: dy Find at (x, y) = (3, 4) and z? = a²+y² if d = x² + y? if 1 аnd 2 6. dt

A: Given z2=x2+y2, (x, y)=(3, 4), dxdt=1, dydt=2. When x=3, y=4, z2=32+42   =9+16   =25 ⇒z=5

Q: While evaluating the approximate value of 13 x dx, using Trapezoidal rule, taking 7 h = 0.5, the…

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Q: (b) Given y = Ax + Ba?. Show that dy 2x- + 2y = 0. dx2 dx

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Q: dy y? dt t t2 Select the correct response: None 2t O Y 1 – ct? - -2t O Y = 1+ ct2 2t O y = 1+ ct2

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Q: For a given table 4 y 5 9 16 23 d’y Find the value of at x = 4 using forward difference formula. dx…

A: The derivative at a point can be calculated using numerical differentiation. The approximate value…

Q: 7. y = sec x, y = V2, -TT/4 sxS/4

A: y = secx , y = 2,   -π4≤x≤π4

Q: Use the equations to find az/əx and əz/ðy. e? = 8xyz %3D az 1 1 az ay %3D y

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Q: 17. y dx — (х + бу?) dy %3D 0

A: Given ydx-x+6y2dy=0          (i) To determine the solution of the given differential equation.

Q: The temperature inside a room is given by T(x, y) = x4 + y4 – 4xy+4. Find and prove the location(s)…

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Q: e-SP(x) dx Y2 = Y(x) (5) as instructed, to find a second solution y,(x). y" + 2y' + y = 0; y, = xe*…

A: We will find out the required value.

Q: ôf Find dx fe for the following dy and x?y (a) ƒ(x,y) = y4 + 3

A: Consider the given function: fx,y=x2yy4+3 Here, the objective is to find the value of ∂f∂x and ∂f∂y

Q: the va q² +y? +æy ) at x = 1 and y = 3 is %3D

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Q: Find at the given point without eliminating the parameter. dx2 1?, y = , X = 2 t = 2 3

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Q: Solve the  formula for the indicated variable. Mechanics F = mv2 / R  for R

A: The given equation is F=mv2R. To solve this equation for R , the variable R needs to be isolated…

Q: Given z = 1le lle*y® , find 10 dz dz dy

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Q: The value of [ yx? +y? dx dy %3D

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Q: Use the equations to find dz/ðx and dz/ðy. e? = 4xyz 4yz az 2 - 4xy %D ax 4xz Əz ду 2- Axy

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Q: 10. Given that x d'y t°and y = e", where t is a parameter, dx2 %3D A. 9t e" 2. 3e C. 9et? D. 9e 1/3

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Q: Given y=ae" +Be where a and B are constants. Show that d'y Ay. dx

A: Given that: y=αe2x+βe-2x…

Q: Given (x + 6y? ) dx - 4xdy = 0, when x = 1, y = 1. Find the particular solution.

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Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

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Q: Evaluate: S y? dV where E the solid hemisphere x² + y² + z²< 9 and y 2 0

A: We will evaluate the following Integral.

Q: Q4. a. Find the solution of , ди = 4. at dx? u(0, t) = u(l, t) = 0 и (х,0) 3 х By using variable…

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Q: D Frnef far s ? syf 2=7

A: You must have idea how to solve the equation. The explanation part is given below.

Q: do. Z=XSin.y.. ay? dx .2 3.

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Q: Given the IVP dy + 4y = x - 2, y(1) = 0, dx the value of y(2) is closest to

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Q: Use the equations to find dz/dx and dz/ay. e? = 8xyz az 1 ax y az 1 %3D ду II

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Q: The x, y, zER, subject to the condition yz + zr + xy = 12. Then greatest value of ryg is (a) 6 %3D…

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Q: 7. (x dy – y dx) = 0 x² + y?

A: We are given a differential equation  1x2+y2(xdy-ydx)=0 We have to determine whether it is exact or…

Q: The given data is: x² + y² + z? = 4 dz To find the value of dx

A: Take the derivative with respect to x and represent all terms for dz/dx.

Q: Use the trapezoidal rule to find A, using the indicated value of n. dx; n=8 3 X +1 .....

A: Please refer the attached image for complete solution. THANK YOU.

Q: Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² +…

A: ANSWER: OPTION 2nd

Q: C. Given that y = e* sin x, show that d?y +2y 0

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Q: Evaluate ſ z dz, where C is given by x = 3t, y =t²; –1<t< 4.

A: Let us consider a complex function f(z) then the function can be written in the Cartesian coordinate…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.