1š + z² + 2 f(z) = Calcule S f(x) dz.

Q: Find Particular integral (P.I) (D² -1)y =18

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Q: -4-y Evaluate triple integral , S dz dy dx .

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Q: Evaluate the double integral. (2х + у) dA, D = {(x, y) | 1<ys 4, y – 3 <x< 3}

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Q: Find a formula for the integral. dy = y 3(1– 6y) Incorrect

A: We have ∫e6xe3ydy

Q: Show your complete solution: Evaluate the triple integral pl+y² xdtdydx 1-x S S T 2y

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Q: Q3) Evaluate triple integral S(x2 -y?)dz dx dy.

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Q: Evaluate the integral 2 ху S S xe dx dy 0 1

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Q: Solve the triple integral I| (x² + y² + z²)7/2 dV where B is the unit ball B O 2n 2л О Зл 5 o 7n 5 O…

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Q: HiW 4i Solve the Pollowing Integral dy y-zy-3 16x3 dx 4火 -4X +1

A: According to our guideline we can answer only one question and rest can be reposted.

Q: Use symmetry to evaluate the double integral. 4xy 1+ x2 dA, R= {(x, Y) | -4 s x s 4,0 s y s 1}

A: When the upper and lower limits of definite integrals become same, the result is zero irrespective…

Q: Q2:A/ Evaluate the integrals 1 sec²(eVx + 1) dx J Vxe-V

A: Given: ∫1xe-xsec2ex+1dx Consider, u=ex+1, du=ddxex+1=ex+1ddxx+1=ex+12xdx

Q: Evaluate the iterated integral. ITT*³. /0 10 6ze-x6 dy dx dz

A: Integrate usually but first with respect to y then x then z.

Q: Consider the triple integral I = S S“(y² – 6z)dydzdx. -

A: ∫02∫x21∫0xzy2-6zdydzdx=∫02∫x21z3x33-6z2xdzdx=∫02x31-x812-6x13-x63dx=31.88888…

Q: Calculate the double integral 2 dædy D= {(x, y)| 3< ¤ < 5, 5 –¤ < y < 8 –x} D x3 Enter the exact…

A: We need to evaluate double integral.

Q: 3 The triple integral L (x + 2y – z)dxdydz is equal to

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Q: Evaluate the iterated integral -6x-x² xy dy dx, (x² + y?)3/2

A: Given: Now let us calculate the given iterated integral by using polar coordinates,…

Q: Calculate the double integral. 3xy? dA, R = -{(x, m10 sx 5 3,-25 ys 2} -2 s ys2} .2 + 1

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Q: Evaluate the integral VI- 1 /1 dy dx. – x² – y2

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Q: Evaluate the iterated integral. 8 3 (x + y²) dx dy -1/1

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Q: c3 2x 7. Consider the double integral f(x, y) dy dx. Set up an equivalent double integral by…

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Q: The particular integral of (D² – 2D+ 1)y = xe® is 2 -2et - x2 3

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Q: (a) Calculate the iterated integral 3 7/2 SS(v+y° cos x)dx dy -3 0

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Q: |1-y2 ху Q3. Evaluate the double integral dxdy /1– y²,

A: We have to find solutions

Q: Evaluate the iterated integral. (x² – y²) dy dx -1J-2

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Q: 14 Find the integrals using integration by parts. xp_ († +x)xf • - dx c. fr'e"de e flnx'de d. f (in…

A: Solution: The objective is to find the value of the given integral

Q: raluate the double integral : (x + 2y – 2) dy da

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Q: Calculate the double integral 3 dædy D x4 D= {(x, y)| 1< < 3, 3 –x < y < 6 –x} D

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Q: Evaluate the integral ſ xe²" dx; * dx; u=x, dv= e²ª dx using integration by parts with the indicated…

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Q: B)Evaluate the integrals: i) S ii) f/2/2 x 2² siny dz dy dx. rdrde,

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Q: Evaluate the I'S. ü integral 2x-X xy dy dx

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Q: Evaluate the iterated integral. 2 3 4 (x² + y² + z² ) dx dy dz -2 0 0

A: ∫-22∫03∫04x2+y2+z2dxdydz

Q: Solve the problem using convolution integral   y′′ + 2y′ + 2y = f(t), y(0) = 0, y′(0) = 0

A: Convolution Integral: Let f(t) and g(t) be defined in [0,∞). Then, the convolution of f(t) and g(t),…

Q: Evaluate the iterated double integral: x+4 sin (y – 3y?) dy d.x x+4

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Q: Evaluate the integral i.) 2 S² S₂y ez dxdy हैं,

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Q: 3. ( ) The integral f S, sin(y²)dydr cannot be evaluated since f sin(y³)dy is not an elementary…

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Q: Solve the integral equation, (y(t)), y(x) = 2 + -dt t

A: Given that: y(x)=2+∫1xy(t)tdt

Q: Evaluate the iterated double integral: x+4 sin (y³ – 3y?) dy d.x - x+4

A: Let's find.

Q: The value of the double integral a x dn dy is 0,

A: To find ∫-aa∫0a2-x2x dx dy : ∫-aa∫0a2-x2x dx…

Q: c) Evaluate the integral e* (x + 1) - dx, VI – x² using 3-points Gaussian quadrature.

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Q: 6. How would you begin to numerically approximate the double integral: bd 1-SSS(x.y)dxdy ac

A: Given integral is   I=∫ab∫cd fx, y dx dy

Q: Calculate the double integral. ∫∫ ey ^2 dA, D= {(x,y)| 0≤ y ≤3, 0≤ x ≤ y}

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Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information.…

Q: Evaluate the iterated integral. 6. I (8x - 2y) dy dx | 1

A: Given: ∫19∫0x8x-2ydydx

Q: Evaluate the double integral. dA, D = {(x, y) |0Sx< 5,0 < ys Vx} x2 + 1

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Q: 2 Evaluate the iterated integrals. 2 (x + 3) dy dx 0, 6. y sin x dy dx

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Q: Evaluate the integral. inegral 1  to 2 [(4 y2 -7y -12 )/ y (y+2)(y-3) ]dy

A: Given:                  ∫124y2-7y-12y(y+2)(y-3)dy   To determine:                    We can solve…

Q: The particular integral of y" + 5y' + 4y = 3x +2 is

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Q: Evaluate the iterated integral. (x² – y²) dy dx J-4

A: Given the double integrationI=∫−11∫−44(x2−y2)dydx

Q: A-Evaluate the following double integral - (x² + y²) dy dx fo

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…