2 2 2 2.x3 + y3 = a3, find y".

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: fin (z° + 15z + 44)dz

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Q: 22) About the x-axis y = 5 x =V25 - y2 X =' + 3 4 5 х 2. 3. 2.

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Q: b) - 2y dy

A: Integrate the following.      ∫y4-2y-4y-2dy

Q: 16 1. (a) zydy dz = pla+7)/2 (b) zydz dy (3y² + 3y)dy = 38 I-(y-5)/2

A: a) Given ∫02∫0x2xydydx The given integral write as…

Q: 32 8y%dy y-15 2.

A: The given integral is,

Q: 26. у" + 4y' %3D sec 2x

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Q: Min 3x + 2y + Z x+ 4y + Z27 2X + y+ 3z 2 10 X, y, z 2 0

A: The given problem is: Minimize P=3x+2y+zsubject to the constraints:x+4y+z≥72x+y+3z≥10x,y,z≥0…

Q: find the volume of the solid

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Q: 4) 8r dz dy dr

A: Solve the triple integral

Q: 4[8,(t-2) rect(r)dt

A: we have,  I=4∫020δ4t-2recttdt we know that  ∫t1t2xtδt-t0dt=xt0 ;   t1<t0<t20       ;…

Q: 2. / Vy² – 4y + 10 dy

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Q: 9) (3x-29 +2) ex+(39-2*-2) dyzo

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Q: 4 у3 2) S-sy dy 2-5y4

A: Please see the below picture for detailed solution.

Q: | (h(y) – 4)dy = 18 h(y) 9(y) 1 |dy 19 12 15 18 - 18 - 7g(y)dy = 1

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Q: x = 4 y = x' |(2, 8) y = 8 y = Vx (4, 2) Figuro 1

A: Solution for question a: In figure 1 the region is bounded x=y2,the x-axis, where 0≤y≤2 The formula…

Q: 3 '9-x2 3+V9-a2-y? 1 dz dy x² + y² x²+y² a C = L7I Fle,0,6) dp dộ do

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Q: 8.) if z = x +jy, then Rez + Imz= (2+2) + ½/₂ (2-2²)

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

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Q: Solve the boundary value problem yx) + y(x) = 9, y(0) = 0, y(7) = 9.

A: The objective is to solve the given differential equation

Q: 2. xy2 = 6 at point (6,1)

A: Follow the procedure given below.

Q: Зх — 4у + 23 (a) f(x, y, z) = '9 – x² – y² –. - V2t – 4 x² – y? - (b) g(x, y, t) : -

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Q: 4. Min Z = 40x + 55y + 30z Subject to: x + 2y + 2z > 50 2х + у + 3z %3 40 2x + 2y + 3z 0

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

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Q: .1//3 7earctan(y) dy + y? 3

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Q: 3. If z* +x²z+z+y = 0 find (1) Əz/ax, (2) əz/əy, (3) ²z/dx², (4) d²z/@y², (5) Fz/dxəy, and (6)…

A: As per our guidelines, I am only solving the first three. For other kindly upload the question…

Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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

A: Solution

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: 1. уд y = 5x -x y=Vx+2 (4, 4) X= 2 y x x+1 y = 1 2.

A: "Since you have posted multiple figures, we will answer the  questions 1,2 and 3.  If you want…

Q: 2₁ "+21y+8x=y" + 5y' + ex

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Q: 2n bị 2n 2n paz x a, , b2 = a, xa x a, , bz = a, x -аз ха,,

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Q: What value of c will satisfy y(x) = c(1 – x²) given y(0) = 1? 2 O Option 1 Option 2 3 Ontion 3…

A: Let's find.

Q: 4. The line 3x + 2y – 10 = 0 is perpendicular to Ax + By + 1 = 0. Find the possible values of A and…

A: Consider the set of simultaneous equations, 3x+2y-10=0………(1)Ax+By+1=0…………(2) Let m1 be the slope of…

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

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Q: {6} = I ( (b) T = [4,9) %3D (c) T = [-4,9] -

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Q: dt | sec? 3 3.

A: Given: An integral ∫sec2t3dt Integral of sec2x is given by∫sec2x=tan x+C. Using the formula…

Q: 5 10-2z 12y – 8x dy dæ dz

A: To solve the triple integral

Q: 3. Find the complete solution of the giyen DE using the Method of Variation of Parameters: y" + 44…

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Q: 5 +4y = 2 y(0)=1 dt

A: Given problem is:

Q: - 6х + 2у, dt dy -3х + 1у dt

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Q: 3 9-r22 1 dy dz dr 9-r2 0_æ²_22 (x² + y² + z²)1/2

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Q: 2/3 If y = xl/3 + 2 dy then |z */0 =-8 dr

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Q: Evaulate: 2 1 pr+y (x)dzdydx 0.

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Q: 33) - 2y + y, + y; = 0, y + y', = 4t +2, y, (0) = y, (0) = y,(0) = 0 y + y, = t² +2

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Q: 16 2 2 dz dy da + y? 0.

A: We have to write the given integral into cylindrical coordinates.Let x=r Cosθ       y=r Sinθ…

Q: у" — 4y' + у %3D ex + 15

A: