C(-4,0) andr = 3 (x – h)2 + (y - k)2 = r2 0 = 1 + + +A + zX

Q: Find fx, fy, Tz (3x2 + y2 + 2z²) f(x,y,z) = e - fx=

A: f =e-3x2-y2-2z2  For fx ,we take y and z as constant and x as variable.  fx=∂f∂x For fy , we take x…

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

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Q: z" + 6z' + 8z = e – 6u(t – 3); z(0) = 2, z'(0) = - 6 %3D

A: Laplace transforms

Q: if z=x+iy then zz= 3- y² +1 3- y² – 1 G- ² |

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Q: 4. f(x, y) = 10x²y* – 6xy2 + 10x2; fx(x, y), fy(x, y) %3D -

A: Consider the given function as fx,y=10x2y4-6xy2+10x2

Q: ₁:w+x+y+z=0 ₂:-w+2y=z=14 13:3x-y-2z=4 T₁:7w-x-y+3z=-8

A: to solve the this we use the gauss elimination process to find the solution of the system of…

Q: 4. Find the general solution of (x³ + y³) dx = 3xy? dy A. -3x3 + 2y3 Cx B. 7x3 + 2y3 = Cx C. -6x3 -…

A: According to question, Given differential equation, x3 + y3 dx = 3xy2 dy

Q: Non Homogeneous: (D2 − 7D + 6)y = 3x2 − 2x + 5

A: Here we have to solve the non-homogeneous differential equations     (D2-7D+6)y = 3x2 - 2x +5 .

Q: X1, X2 2 0 12. Minimise Z = 60x1 + 80x2 bo Subject to 20x +30x2 2 900 40x1 +30x2 2 1,200 X1, X220 LO…

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Q: 6 - 3x2 + 3 Find the general antiderivative of f(x) - - - x5 + C

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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: V1-y² -1 0 kpxpzp (,x + zA),I „«-,S

A: The given integral is: I=∫-11∫01-y2∫0x y2+x2 dz dx dy

Q: (z-1)y"+3y-0; y(0)-2,y (0) =3 hot ith A y(x)- 2 1+ 1+3+ - B. y(x) - 2[1++ -3 (a ++ 4 D. u(a)- 21++…

A: Given differential equation is: (x-1)y''+3y=0, y(0)=2,y'(0)=3 Here P0(x)=x-1⇒P0(0)=0-1=-1≠0 Let the…

Q: a z = 4x³-6x²y²-y com x= 2sen(t) y=-3cos(t) e

A: #As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: (w² – z² – 4z – 1))dw + 2w(z + w + 2) dz = 0

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Q: T + 4y – 6z =-1 2 2x -y+2z = -7 --x + 2y - 4z = 5 The solution is (z,Y, 2) = ):

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Q: Minimize c = r + 2s + 3t 3r + 2s + t > 60 Subject To: 2r + 3t > 60 And Where: {r > 0, s > 0, t > 0}…

A: According to the given information it is required to solve the given problem:

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

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: B. Non- homogeneous Higher Ordered LDE 2 1.D +50² + 8D -9) y - 69x²e-*

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Q: S (x,y.:)= 4x°y° -e°y* ++4y-x" +4y–x'6

A: It is partial derivative

Q: how can i find the vectorial equation for d1:3x/2=y-1 and d2:?x+y-6=0

A: Given: vector equation for  L1:   3x/2=y-1 l2  :   x+y-6=0

Q: (10 – 6y + e-3=) dæ -3.z 2dy = 0 -

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: z = xy³ – a²y, x = t² + 1, y = t2 – 1

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Q: W = / x2 + y² + z² Find Wx, Wy, Wxz,Wyy, Wzyx %3D

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Q: XY=5.5, YZ=2c, XZ=8.9 Find the value of c and YZ if Y is between X and Z?

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Q: The general solution of (D³+4D)y=0 is Ay=ex(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁ex+c₂e²x +…

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Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

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Q: 3x + y + z = -2x - y x + 3y - Sz - 11 -7 A. (2, 3, t) В. (2, 3, 0) OC. (2 +t, 3 - 2t, t D. (2 - t, 3…

A: A general system of m linear equations with n unknowns can be written as {\displaystyle…

Q: D. 8y = 4x3 - 6x² + 3x + 8e¬*² В. 4у %3D 2х2 — х +3+е-*? Find the particular solution for y' = x3 –…

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Q: y = -2x-22 tl X-2y-z+2 (37) Zニ X-y 2x +y +2z = I x+2y +z=2 2 -L

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Q: x+3y+z=90     7y+2z=56 Using the echelon method

A: observe that the number of variables is great than the number of equations. So, one of the variables…

Q: what is the general solution of y (1 + 3x ) y - v ? Oy = 4 + 3x + Ce %3D = 4 +3z + Ce" 4 + 3x + Ce…

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Q: 2x + y + z = 1 X- y+4z = In1 x + 2y - 2z = 3

A: We will solve this equation with the substitution method. So first of all we will find anyone…

Q: px + qy=z-a √x² + y² + z²

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Q: z = 2 24 z=Vx² + y² 2 FIGURE 9

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Q: dy - Find the general solution of Y +2 = 3x²y² dx A. 1/(xy) = -3(x³/2) + C B. 1/(xy) = -3(x²/2) + C…

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Q: The y, of y'"-y=2x²-x -3 by using variation of parameters is: .A y,(x)=Ae*+ Be- .B Yp(x) = x – 1 .C…

A: Given that  y"-y=2x^2-x-3 To find the particular solution by using the variation of parameters

Q: b) f(x, y)=-2x². + 8x − 3y² + 24y + 7

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Q: Мaximize p = 10x + 10y + 15z subject to + z s 12 X y - 2x 2y + z 2 14 -y + z 2 4 x 2 0, y 2 0, z 2…

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Q: 2. Is y(x) = 2sin3x + 4cos3x a solution of y" +9y = 0? %3D

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Q: 3x The y, of y''-6y'+9y = by using variation of parameters is: .A Y,(x) = -In(x). e 3x 3x -e |

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Q: 7. (D+ 3)'y = 15x'e-3* 8. (D- 4)'y 15x²e**. 9. D (D – 2)²y = 16e2 10. D2(D + 3)²y = 9e-3x 11. (D² –…

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Q: c) give a particular solution for y" – 2y' + y = 3e* + 1+x

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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: E. 2x-3y + z = 10 %3D y + 2z = 13 %3D z = 5 II wo - x + y - z = 4 3x + 2y + 4z = 17 -x + 5y + z = 8

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Q: 3 18. z= 19. y= Vx(x-1) 3x-1 20. y= 2x+1

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Q: Minimize c=s+ 2t subject to 4s +t2 270 2s +t2 190 s+ 3t 2 330 s20, t2 0. C = (s, t) =

A: The given minimize problem is C=s+2t subject to constraints, 4s+t≥2702s+t≥190s+3t≥330s≥0, t≥0   Then…