4x – 7y x - 2y Add: х — Зу - 3 Зу — х'

Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

Q: (b) ruz – 2yuy + u = eª , for x> 0

A: 1.(b) Given partial differential equation xux-2yuy+u=ex, for x>0 This can be written as…

Q: (B) let y = 3sin5x - 2cos5x show that ax y + 25y = 0

A: Given :y=3sin5x-2cos5x

Q: Queston1 use the Subititution Iy =u 9) (xy41) dx +2x²y=0,

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Q: Use chain Rule to find for 2. y = . +x²+x+1 I.W | 3. y = estn 3x Н.W

A: We have to find dydx using chain rule for the given function: 2.  y=1x3+x2+x+13.  y=esin 3x We know…

Q: İį = 12, i2 = -x2 - T1 + x}

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Q: Evaluate dy.

A: To find: The value of dy. Given: The value of y is 3x-72x+1; x=2 and ∆x=0.003. Formula used:…

Q: i) -21y² + 4xy + z². k) 424-20³-96x². j) 21²-201-22. 1) z²z+13x+36z.

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Q: FInd the implicity differentiate x^2- 4xy + y^2= 4

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Q: pt of y=x3-4x2+x+6 В. -3,—2. and 1

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Q: 1. 05x<5 2k ī (x) if (I - x) if sxsI 2 2kx < 1 2

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Q: If z1=1-1,z2=-2+4i. Evaluate |2z2-3z12. pdf.

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Q: 3tan(x)=2sin(2x) from [0, 2pi)

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Q: 1. y=3sin(2x) and y= 3cos(2x)

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Q: Find ƒyxyz if ƒ(x, y, z) = 1 - 2xy2z + x2y.

A: Given that, fx, y, z=1-2xy2z+x2y           ...(1)

Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

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Q: 2dx Evaluate (x – 3) Vx² – 6x + 5 -

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Q: kx, V; = 1+ kt

A: There is an equation of flow velocity field given

Q: 82z 82z + 8x2 82z If z = x + y lnxy, show that x- = y², y2. 8y2 ID 8x8y

A: Given, z=x+ylnxy We need to show that,    xδ2zδx2+δ2zδxδy=y2δ2zδy2

Q: Evaluate: ₁²-du So -3 (x² y²)²7 x+y du dt

A:

Q: YQʻ +y² = x 1-2xy2 2y(x2+1) „y' :Select one True False

A: Differentiation

Q: 5/ (2xsin x +3cos y)dr- 3xsin ydy = 0

A: Please rate.  Exact differential equation

Q: 5. y-5y+6y = coshx %3D

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Q: az Use chain rule to find x2 with x = 3rt and y = r Z =

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Q: II. Verify that ду дх дх ду 3 2 2. f(x, у) %3Dх'у? — ху 'y² – xy ³

A: Given function: Now,

Q: 5. Solve: 4xy2(3x³y – 5xy) = 0, Let y = 2 %3D

A: A detailed solution is given below

Q: 6. V-361v-529 = -539 7. V11

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Q: _(2²² + y² + z²)³/²dzdydx 1-z²-yª

A: Given ∫-11∫01-x2∫1-x2-y20(x2+y2+z2)32dzdydx Given instruction: To solve this integral convert…

Q: 1. (18pts) Find / simplify each: V100x*y7 + V54xy2 3 4 1 -2 2y5 2x4 205x V10x2 Rationalize * 3 1…

A: Simplify

Q: Compute ƒx and ƒy for ƒ(x, y) = 2xy.

A: the given function is: fx,y=2xy we have to find the value of fx and fy

Q: ). Find 1 |z-j|=2 Z

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Q: 3. 5x + 5y = 15 2r - 2y = 10 Y-exie X-8xis 3. 2. -2 -4 -5

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Q: suonenba 5x mons: (1) +- = 3x + 3 (ii) x + 7x + 12 = 0 In (x +4)- In (x*) = 4 = 15 (iii) %3D (iv)…

A: Simplification

Q: y'=xsin^2y

A: Given                y,=xsin2(y) we will solve this differential equation very easily by…

Q: If w = (4x-8y)(-3x+5y) , find Wxy at point (2,1) ху

A: Given that, the function w = 4x-8y-3x+5y To find the Wxy at point (2, 1)

Q: 2. 2xyy' = ex²+y²

A:

Q: 18. y = x² + 9 and y = 10 + 2x over z = [-1,3]

A: The graph is shown below

Q: 37) Find YX 38) Find mX 22x+ 68x-I 23x-1 21x+1 39) Find mzF 40) Find mzD D. D 23x 1 20x-5 18x +7…

A: Since you have posted multiple questions we will solve the first question for you. To get the other…

Q: Find the product. 12x'y" -5x°y10 2x*y 3y O -10xy,x* 0, y + 0 O -10x"y",x + 0, y 0 O -10x'y,x + 0, y…

A: According to question given that 12x7y112x4y5·-5x6y103y

Q: ų (H)= - 2y, (t) + 24;(4)= Y,(4) - 2y, (t) +2t t 9,lFS +2

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Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & z, then simplify. - -

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Q: 3,80lVe this equadioR by USE GalSian eli minalion- X-34+ 42 =1 2W-2X +f-1 2W -X -27 + 47=0…

A: Given system of equations:x-3y+4z=12w-2x+y=-12w-x-2y+4z=0-6w+4x+3y-8z=1To find: values of w, x, y…

Q: If 11z¹ +10iz⁹ +10 iz-11 = 0, find the possible values of [z].

A: The given question is related with complex analysis. Given the equation 11z10 + 10iz9 + 10iz - 11 =…

Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & Z then simplify.

A:

Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & z, then simplify. |

A:

Q: Irr( V1 + 7, Q) = Vī, Q) = O gt – 4x² – 2 O xt – x - None O xt – 2x² – 6

A: