%3D 23. f(x, y, z) = 2x + z? subject to x² + y? + 2z? = 25

Q: 3 y=-3 x=- √√9-y² V25– x – y’ dxdy=

A: The given problem is to evaluate the given double integral in Cartesian coordinates. We have to…

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Q: Use variation of parameters. a. (D^2 − 1)y = e^x + 1

A: Given equation is (D2-1)y=ex+1

Q: e3x dx (1-2е3х)2

A: ∫e3x1-2e3x2 dx Put, 1-2e3x=u⇒0-2·3e3x=dudx⇒-6e3x dx=du⇒e3x dx=-du6

Q: Q1) Find dx for: 2 - (x? + y)? + (x - y?)? = x +y3

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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: 4. h(x, y) = xe +y+1

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

Q: sheet Undetermind Coefficient 2 Y +2Y+Y=x'e хе

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Q: ysina dady.d.z. 2.

A: we have to calculate  ∫0π6∫01∫-23ysinzdxdydz ∫0π6∫01∫-23ysinzdxdydz=∫0π6∫01∫-23ysinzdxdydz…

Q: 8s – 3 F(s) s2 – 36

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Q: Is F =Y. x> x+y? conservative

A: Proceed as shown

Q: Find the value of E 2) Evaluate y dx 3) x e

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Q: Q2: EVALUATE * S I5(x) dx Js(x)

A: To find : ∫J5xdx Using the formula  ∫Jn+1xdx=∫Jn-1xdx-2Jnx Here n=4

Q: Solve by integrating factor by inspection: * 2ydx – 3xy dx – xdy = 0 - x' +x*y = c x³ + x²y² = c…

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Q: Find Hand S for H = c₂(x)+₁(x) (x) d dx S={feC [a,b] | f(a)=0}.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: f(x) %3D e 3.

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Q: hich represe 4 units. y%3D(x+3)

A: Solution: The objective is to find the function that stretched vertically by a factor of 12 and…

Q: S Ve3x dx A 2 X- e3 2. C + C ez* + C - 1 e3x + C 3. + C - 3. 23 B

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Q: What is the physical significance of y[n]=T{x[n]}

A: We denote a linear transformation from a vector space to that vector space T. That is, a map T:V→W…

Q: 8.s Y°+y² _ dy + y² – 1 y2 + 1 8. S

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Q: In the function given. Evaluate the integrals.

A: Given:∫03 fx dx=2,∫36 fx dx=-5∫36 gx dx=1∫36 3 fx -gx dx=?

Q: S. S. (x + 2y)dydx = 10, Jo a

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Q: f(x,y) = VE +

A: Given :     fx , y =t+1t

Q: .3 S(3 – e3*)²dx

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Q: 5.) A.) V= L W H B.) V = ar²h %3D L-W H C.)V= D.) V = %3D E.)V=

A: We have given the figure is the shape of a cuboid because cuboid has six rectangular faces in which…

Q: eY+Ve2y-4 5. x = In sove for y“ 2.

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Q: _3. S(3v +) dx = D(x + 3) + C

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Q: dw if Find = x* - xy+ y b) wax?-xy*; x-e* )3メーメ ; ×=t° X = e y=cost ?

A: I have given an answer in step 2.

Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

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Q: rcosck) X)= 2メ+ hca) + ě Uf)→ at メ=3 @ fiw) = O (fuda (x)

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Q: G. (3x ty - 2)dx + (3x ty +4)dy <0

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Q: 2 da x² – 8x + 17 Integrate: + C

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Q: 5. S(e2r – e-2r)²dr S(e?r -2т е 2х 6. S dx 4-Зе2х

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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: Solve the D.E ý - y = x لم

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Q: f(x) dx = 4 and 0 1₂ 2 +S²g(x)dx? 3 f(x) dx + -2 10 2 g(x) dx = 6, what is

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Q: y" – 2y' + y = e*/x

A: The given differential equation is…

Q: [E (XY)P SE (X²) E (Y²)

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Q: C:y 2x, x 8 ing (x² + y³)dx + (2xy +3)dy1

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Q: -CInx) e et XN fex)= ×フ 2下X find E CX)

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Q: (d) y = x* (e) y = In(e2r + e-2#) (f) f(r) = e-

A: See solution below

Q: -2 S.f(x)dx -4 a. b.5°2f1x) dx C.5f(x) dx

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Q: Salve dy x(l+y) ニ。 XP

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Q: (iv) SSS 2x dV, D:0 < x < /4 – y²,0 < y< 2,0 < z < y.

A: Answer

Q: S(3x².fu)+x°, f'(x) dx =24 so, so, f(2) = ) %3D

A: We have to solve the given question. Derivative of the function f(x) can be written as f'(x) Product…

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Q: 3) d?y 1zloge %3D dx2 エ マ2

A: There is a correction in the "Answer" provided by you. So I have solved and given a solution with…

Q: S(3V+) dx (x + 3) + C %3D

A: