نقطة واحدة If f(z) = evsin 2z. Then 4 d Vsin 2z Vcot 2z. evain 2z %3D dz TO FO

Q: 3. f(x, y) = (3x - 5y)2 + e4x In(4y – 9) + %3D 135 x4

A: We know, ddxxn=nx(n-1)  , for any real number n. ddxln(x)=1x

Q: ху f(x,y,z) =- х+у+z

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Q: Calculate ∬Sf(x,y,z)dS For x^2+y^2=9,0≤z≤3;f(x,y,z)=e^(−z) ∬Sf(x,y,z)dS= ?

A: Find the parametric equation for the given curves.

Q: Q. / Standx dx 3 None 2log|sec4x| + c 3 8log|sec4x| .+ c 3 2log|sec4x| + c 4

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Q: 2x-y if F(x, y) = xy é e af ар ay ах find

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: af If f(x) = x²yz + xy³z than is дудz x?yz + xy°z yz + y°z Option 1 Option 2 x? + 3xy? y? + 3xy?…

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Q: d'y 2y If x + y = xy, show that dx2

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Q: 31. If 9x² = y(y – 3)², show that (y + 1)² ds - dy². 4y

A: We know that Given Firstly, we find dx in terms of dy

Q: 5-4y2 dy 3+2y

A: To evaluate ∫5-4y23+2ydy

Q: Ir 9- ((2, y) | 2553,1SyS 3): D then: dz dy = %3D

A: Given D={(x,y)|2<=x<=3,1<=y<=3}

Q: 15. In AXYZ, XY YZ and m/XYZ = 46*. %3D 46

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Q: 2. / Vy² – 4y + 10 dy

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Q: Find Cx(x,y) if Cx(x,y) = 2x2 + 7xy - 9y2 + 4x - 9y - 6 Cx(x,y) = ?

A: Let's find.

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: d²y dy +2 + 5y = 5t2 dt? dt

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Q: If x,+iy,=x,+iy2 then x=y, %3D

A: TRUE for part (1) It is given that x1+iy1=x2+iy2. x1+iy1 and x2+iy2 are complex numbers Two complex…

Q: (8) If w = 5x2 + 2y2, x -3s +t, and y s - 4t. %3D aw and at aw Find as

A: w=5x2+2y2,   x=-3s+t,  y=s-4t

Q: Expand completely. (3z 1) ar + ba + cr+ da² + ex + ƒ %3D d = and f=

A: Given 3x-15=ax5+bx4+cx3+dx2+ex+f To do  Find the value of a, b, c ,d ,e and f in the expansion

Q: Sz Evaluate j dz j dz Ţ eª* dy.

A: Use change of order of integration tonsolve it.

Q: af (2,0) ay f(x, y) 3D хетУ + 5у%; af (2, 0) = Əy

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Q: 4y² – 25 -dy

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Q: What is the antiderivative of J (5t° 2t* + t + 3) dt. c.t° -+t + 3t 2 а. t5 +t2 + 3 с. b. t° -t5 +t2…

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Q: f(x, y, z) = 3x + 2y + 4z, x2 + 2y2 + 6z2 = 21

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Q: dy If y = ( a² +1) (x³ + 3) dx %3D O 5x^4 + 3x^2+ 6x 6x^3 O 2x + 3x^2 O 2x^2 +2x+ 3x^5+9x^2…

A: Question 1,Given,            y=x2+1x3+3To find: dydx

Q: Show that A Yk= V' Yk+r

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Q: f(z) dz = 4, then 2f(x) – z dz 13 If %3D =

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Q: Find the most general antiderivative. | (7x3 - 3x + 2) dx A) 7x4 - 3x2 + 2x + C B) 21x2 - 3 +C C)…

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Q: f(x, d,Z)cbxcly dz

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Q: im(z,v) →(0,0) F(x, y).

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Q: Evaluate 3xz dV where E = {(r, y, z) | 2 < ¤ < 4, x < y < 2x, 0 < z < x + 2y}

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Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

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Q: Find Sea)ax Jf(x)dx if = 56 foR X<to (x fok xZ6 flx): %3D

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

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Q: What value of c will satisfy y(x) = c(1 – x²) given y(2) = 1 ? %3D ) Option 1 Option 2 2.

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Q: Show for Re(2) > 1 ez - 1dr = r'(z) 5(2). %3D 0,

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Q: Find dw. If w=2x3 +3x2 y-6y² 3 dw=(x2+6xy) dx+(3x2 -y) dy Ob dw= (6x2 +6xy) dx+ (3x2 – 12y) dy

A: This question is taken from the partial differentiation in which we have to total derivative of the…

Q: can be obtained as dv dt -9. 81 – 0.0321 × v²

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Q: dy If dt = -10e-t/2 and y(0) = 20, what is the value of y(6)? %3D 20e 6 20e 3 20e -2 10e -3 Se3

A: We are given the differential equation dydt=-10e-t/2 and y(0)=20. First, we will be solving the…

Q: 2. dy 5y=Dy

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Q: yz 4. II »z dr dy dz Jo

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Q: d²y(t) dy(t) + 8 dt + 25y(t) = 10u(t) dt2

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Q: 10. [VF² dx [Vr³ dx 11. 12. [Vx¹0 de 13. (u²+u+1) du 14. dv / ( ²0¹² + √² + v) du [w³+²+ w dw 15. w3…

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Q: yesin 3y* dy dy 5. csc 6y

A: The question is a little incorrect. I have modified the question a bit: the denominator should be:…

Q: xlet X,Y,7 be v.V.J with Joint fA くれく くらくtyerzc

A: The joint probability density function is given to us the conditions on x, y, z are also given to…

Q: d'y dx2 (3y -1) 24y If y' -y = 2x prove that

A: Solution: The objective is to find the double derivative of the given function

Q: 8 If f(x) dx = 37 and g(x) dx = 12, find %3D [2f(x) + 4g(x)] dx.

A: Given ∫08f(x)dx=37 and ∫08g(x)dx=12We have to find ∫08(2f(x)+4g(x))dx

Q: f (x, y, 2) = x³ /+42³y² – xyz +x² – Vz5 VI+ 42°y? – ryz+ x² – Vz5 - -

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Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

Q: у" — 4y' + у %3D ex + 15

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Q: (b) Evaluate |(2x+3)V x² + 3x – 5 dx , by using substitution method.

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