Evaluate o S, (4 – x²y?) dy dx

Q: Given U(x; y) = In(1+ xy³), show that 2! dxðy

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Q: du ap B) Prove that dx n- dx v2 where u = f(x) and v = f(x).

A: To find  d(u/v) /dx

Q: If z = æe", then dz = (ev)dx + (aye) dy. Select one: OTrue OFalse

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: O 2y = x In cx?

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Q: dz If z%3D (х +у) In(x + y) then dx

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Q: Evaluate * ISS 9z dV E where E is enclosed by z = x? + y? and z = 1 4JT O 3T O 27 ол

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Q: So Simz So e" dz dy dx uate: e + Vē – 1

A: Please refer to the image below

Q: Use Green Theorem to Evaluate yx'dx – x*dy where C is left half of x² + y = 25 77.7704 O 78.7712 O…

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Q: - Evaluate the follwoing | r" exp(ax")dx where a + 0 and m+l = 1, 2, 3, ...

A: Given integral is, ∫xmeaxndx Substitute, u=am+1nxm+1dudx=m+1am+1nxm+1dx=1m+1am+1nxm+1du Then,…

Q: 6. Prove that ſex*dx+rydy = Sc r*dx+xydy+Sc, r*dx+xydy+Sc, x*dx+ rydy.

A: Prove that: Where c is the curve of the integral. The curve c is divided into piecewise region.…

Q: 29. Evaluate I (x + y + z)dz dy dx. Jo

A: Consider the following integral:…

Q: Let z=e"In(xy), determine dx

A: Solving the problem by doing partial differentiation.

Q: +! dy dx x dx A- If Z = d'y x dx x dx? Prove that Z.Z = xp -1% NI X

A: A Given Z=d2ydx2+1xdydx. We need to evaluate Z.Z. Consider Z.Z.…

Q: 2) Prove that: d? L„0) = n;(n – 1) %3D dx²

A: Consider the given information: Let Laguerre polynomial is given by, Lnx=∑k=0n(-1)kk!nkxk…

Q: O prove that : (2) DO 2x e dx a e +b where a, b >o

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Q: 71 Evaluate S, dx by using Simpson's rule, n=3. 1 х

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Q: Lind dy/dx O ztanag In 3 Funas Inx I + Inx

A: Consider the provided question, We need to find  dydx of the given function. (1) Given,…

Q: dy 3. Find dæ if y = In (aVæ +1).

A: Given,            y=lnx3x+1

Q: Find dy dx? A) y = 3sin u - sin'u and x 3 cos u- cos'u

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

Q: az Find for z = x²y°e®Y dx

A: The given function z is zx,y=x2y2exy We have to find the partial derivative of z with respect to x.

Q: 3. If z = f (x, y), where x = e“ – e® and y = e® – e", show that UTM UTM az az UTM X : az - ду dx…

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Q: S dy S f(x, y)dx

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Q: Find S z? sin z dz

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Q: 49 Vã.) х dx х. Let u = х — 9 36

A: Given:

Q: dz Find if yz – In z = x + y ax

A: To find the partial derivative of z of yz-ln z=x+y with respect x, differentiate yz-ln z=x+y, while…

Q: 1. Find fr fy and fry if f(x,y) = y* + x?y + In xy.

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Q: (z In z + 5)dz

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Q: Evaluate SSS 12z dV E where E is enclosed by z = x? + y? and z = 1

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Q: Show for Re(z) > 1 -dx = r(z) (2). et - 1

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Q: Revers the order and Evaluate= s dx dy y

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Q: 4. Use Green's Theorem to evaluate | ay dx + (1 – ry) dy where C is shown below y (14) F1,2), (1.1)…

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Q: Show that given R: x € [0,1] ^ y € [0,2] 1133 3x²yexy dy dx = 6 R

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Q: What will be the value of (h, k) in the given DE: * (x – 2y + 1) dx + (4x – 3y – 6) dy = 0 | h = 3,…

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Q: D. If z = In(x – y) + tan(x + y), show that Z = Z y XX

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Q: Verify that * ox af dy 2+ ?х ду ду дх ах 22+ 21 ?х ду ду дж 11 olems) for f(x, y)=5x®y -7xy5.

A: Here is the solution of the given problem.  Partial Derivatives.

Q: 5 Evaluate ſ“ S" r² sin ø drdøde 0,

A: Evaluate: ∫02π∫0π∫05r2sinϕdrdϕdθ

Q: Find dy/du, du/dx, and dy/dx when y and u are defined as follows. and u = Vx + 3 V = - dy du du dx 3…

A: Trigonometric identities: 1.d/dx(xn)=nxn-1 2.d/dx(constant)=0 3.d/dx(root x)=1/2root x And given y…

Q: Let f(0) = 6 and ƒ(1) = If ) dx In then a =? %3D 8.

A: given that f(0)=6 and f(1)=94 and ∫01f'xfx dx=lna8  find a

Q: when y and u are defined as follows. y = 3u2 + 7   and   u = x2 + 9

A: Here I am attaching image so that you understand each and every step.

Q: Given z 8 In(t) and y 64 t2 then find fip dr dy dx2

A: To find: The value of dydx and d2ydx2. Given: The equations are x=8·ln t and y=64·t2. Formula used:…

Q: (1) So“ dx let t=x o Vx

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Q: e? If u= In x, then 1- (In x)2 dx=?

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Q: dx dy If L = Va? + y?, = -5, and dt = 2, find dt dL when a = 3 and y = 7. dt %3D dL dt

A: Given query is the derivative of L over t at x = 3 and y = 7.

Q: b. Evaluate Rx In(Rx) dx.

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Q: Evaluate xy dS. S: z = 3 – x – y, first octant

A: Given query is to find the double integral in first octane.

Q: 1 +y = zy" dy dr

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Q: S 6 ttan t dt = %3D dx Jx

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Q: dy If y = e" In(u) and u = V1-x2, Find dx

A: y = eu ln(u)       and   u = 1-x2 dydx = ?