:= rye" find z²y}e" (ry +1) O None of these Option 3 rye"" (ry + 2) ry²e# (xy + 2) Option 2 Option 1

Q: 21. Кх, у) 2х -у ys 4x + 6 5 * 4y s 7 2r + ys7 бу X-6y z 10

A: Step-1 f(x,y) = 2x-y            y ≤ 4x+6 ⇒ 4x-y ≥-6            x+4y ≤ 7           2x+y ≤ 7…

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = 1 + xy2 - 2z2

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Q: .3 4 1 1) dzdxdy S² S³ S1²3 S₁ 0 1 z(y4+1)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: .3 2- S(y² – 4y + 2 ) dy

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Q: let y'+2y=12et , y (0) =3 , find L (y) %3D 3 (s+12) (s+2) (s– 3) 3 (s+1) .b O (s+2) (s – 3) 5s + 12…

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Q: Find the general cowtion of the die. y9) + ya) - 24 =-e (9+67x+17 x²) + (861nax - o cosex) „(2).…

A: The given differential equation is , y(3)+y(2)-2y = -e3x(9+67x+17x2) +…

Q: 2 X+y +Z=lo Gouss eleminahin 3 X+ 2Y4 32=18 X +uy+ 9Z= 16 ماركة العرض من قبال

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Q: Find both first partial derivatives. Z = In az %3D ax az ду

A: ∂z/∂x = 1/x    ∂z/∂y= -1/y

Q: Differentiate ysin(1/y)=1-xy

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Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: 8T 3/2 /1+ 4t² dt A. 3 2 87 t3/2 /1 – 4t + 4ť² dt 3 В. 27(t – t²)/1+4t² dt с. 2 D. 27(t – t?)V1 – 2t…

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Q: 26. у" + 4y' %3D sec 2x

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Q: 4. xy²1₁ X=1, x = 4, y = 0; about the x-axis

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Q: Specifically a differential equations problem. Question in pic below. The first "Select" is either…

A: Here, f1(x)=ex+3 and f2(x)=ex-4

Q: -5-S"S, ((m-3)x²+m(m -! x- Yy)-4myx] dydx 2,3m

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Q: X1+iy,=X2+iy2" ューx,○ X =X ,=y,O *ュ=ソ,○

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Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

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Q: y" + 3y' + 2y = U₂(t); y(0) = 0, y'(0) = 1

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Q: Find both first partial derivatives. z= exy az ax az ду

A: Explanation of the answer is as follows

Q: The function y== In (3z - 2) satisfies the IVP: (3z – 2)°y" + 9 = 0, y(1) = 0, y'(1) = 8. Select one…

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Q: 8. = In(3x² – 2y + 4z³); x = 1/2, y = t²/3, z = 1=2 w

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Q: Xxy-Z = Gauss eleminatin %3D 2X -y42=5 -x +2y+23 or

A: We have to solve given problem:

Q: Evaluate: S 2y+3 (y-1)(³-1) dy ° − In\y − 1| − § (y − 1)³ + ¼ln|y² + y +1| - O √3 ○ – In|₁¹|- (y −…

A: We will use partial fraction decomposition to solve the given integral .

Q: g(x) = 4x3 12x + 6 with domain [-2, 2] g has --Select- at (x, y) = g has --Select--- at (x, y) = g…

A: g(x) = 4x3 -12x +6

Q: 9. If x2-xy + y2 = 3, find y' and y", %3D

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Q: 1. Marjinal maliyet Fonksiyonu f'(x) = e=* +: + Vx2 olan bir (1-2x) firmanın maliyet fonksiyonunu…

A: Given marginal cost  f'(x)=e-x+11-2x+x23 To find the cost function    Cost function f(x)=∫f'(x) dx

Q: 2こx+iy 2 Recz) =l 3-i1 if 121 =2, then

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Q: 2. If a runner traveled a distance of d(h) = v16h4 in time t(h) = 3h – 3h - 5h2, what is the…

A: We will find the distance as following.

Q: 1 2(1-z) 3(1--z) dydxdz = 1 0 0

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Q: Identify the transacation of point P x + 3, y + 1). ddf2d92a ddf892d342a ddf892d342a dd1892d342a…

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Q: A. Homo geneous Higher Ordered LDE 1. (D5 - 1204 + 520D3 - 112D² + 192D - 256)y- O

A: Solution

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where is player i's…

A: The utility to player 1 is given as: u=xx+n1yAnw-x-n-1y;w>0,A>1 Also, Ak=Aw-x*

Q: 4. y=6-ax-x", y = x+l6, about the a %3D | yaxis

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Q: If A= and D = A+B and d2--1.d, 2 then 1. x=-1.y = -1 2. x=-1.y = 1 3. x=-2 y =1 4. x-2. y --1

A: We have to find the required values of x and y .

Q: Find both first partial derivatives. az ax az ay

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Q: :Max z=6x + 8y subject to x +y 0, y=0.

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Q: Find the first partial deravatives of the function

A: Since, only question no. 21 is clearly visible in the image you have provided, that’s why we are…

Q: If 立= 2t, t-3t dt, then |ü||=

A: To find ||u||^2 from the given integral.

Q: V81z2 V24z2 V63z*y 6z/9r 12z/2 : 12 : 9z : 3x : 2z/6 : 4z6 : 9z2 : 4z Vy? : 8zyy : 4z?y # 3zy7z :…

A: we use  √(ab) = √a √b (am)n = amn

Q: Q4:Min z' = 29 yı+ 45 y2 subject to 2y1+ 8y2 > 60, 4y1+ 4y2 2 60, yı 2 0, y2 2 0.

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Q: 3 Fivd fy fz fxz if

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Q: لله √ √³ √ √² zysin(2² + y²) dz dy −

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Q: 2. § (5z² - 7z + 3) dz from z = 2 to z = 1

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Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: Find both first partial derivatives. z = exy az ax az ду

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Q: 2) 2yy' = x(1-2y). y(l) =1. Ans.: x +2y+ in(2y-1) 3.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3 if/xtys+x²y³ - xy² + 5y + (x*y*)ž | %D then 3y'at(-1,2) =

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2* If ODE of 2nd order and y. 2 x + 3 e-2x, the suggested y, is: C e2x + c2 e3x Yp = Yp = a, x + a2…

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Q: 4. V21+4:-z dz

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Q: If we use the secant method on fx) = x+x+3 with x2 and X-1 = 1, then X, is

A: