use the elimnaton method zhみみ人みメ differential equeti cns

Q: Evaluate the integral fa* (2* – 11)"dz, dx, by making the appropriate substitution: u = 11). 24 dx =…

A: ∫x3x4-1124dxSubstitute u=x4-11du=4x3dxdu4=x3dx

Q: dy Use dsolve to solve dt 3D 5у — 5ty³

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Q: se trapezoidal rule to estimate the the integral. V+ 4dx n=6 2.75 b) 8.53 c) 9.76 7.15

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Q: Evaluate the double integral 2V15 15 "" V#+1 dr dy

A: Solution: The objective is to evaluate the double integral

Q: Q0 Integrate 2 from x? o to L x²_2 trapezaidal rule with four

A: SolutionIntegrate x2-2 from 0 to 4using the trapezoidal rule with 4 bandsFormula of trapezoidal…

Q: In Evaluate the integral: ₁²t² fln s t teu du ds dt

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Q: Evaluate the double integral given by p2 sinOdrd0 TT JO

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

Q: Can you help step by step please?

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Q: .rdx dy Prove that (a) (b) (8)

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Q: Evaluate the integral da 2+ et using the substitution u = 2+ eª. dx 2+ et +C | -

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Q: Evaluate the double integral: (y 8r) dr dy

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Q: Evaluate the integral *(* – 10)"dz 6 by making the substitution u = 1 z° – 10- +C

A: ∫un du = un+1n+1+C ; where 'C' is an integration constant.

Q: What is §3dx, §5du and §e^u dt? Those are integrals

A: a) We factor out 3, then integrate. c=integrating constant

Q: By using the substitution method, show that for any positive numbers x and y ry 1 dt = Sdt

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Q: Evaluate the double integral. 8ху? dA, D is enclosed by x = 0 and x = 4 – y2

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Q: Evaluate the integral: ft² ns te" du ds dt

A: Let's evaluate given integral.

Q: Calculate the iterated integral 2 So Só Væ + ydædy

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Q: Next, integrate with respect to 0. T/2 1 e4 1 - de = 1. | T/2 1 - e4 Again, apply the Fundamental…

A: Here, all the parts are correct except part 3 of 6. The part 3 of 6 is: Evaluate: 12∫0π21-1e4dθ

Q: Evaluate the integral using FTC I.

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Q: Solve fx² In(x) dæ using Integration by Parts. Use u = In(x) and v = x?. Answer:

A: Topic = Integration

Q: Apply Green's Theoren to evaluate the integral. C6x+y) dx + (3xy"+4y) dy ter

A: Given integration is ∮c(6x+y3)dx+(3xy2+4y)dy C : Any simple curve in the plane for which Green's…

Q: If | h(s)ds = 21 and h(s)ds = 10.8 2 what does the following integral equal? | h(e)ds - [

A: If ∫-56hsds=21 and ∫-26hsds=10.8. Then we have to find the integral value of ∫-5-2hsds=?

Q: Estimate the value of the integral 4- x²y2 dA, S = {(x,y)| x² + y? 0} |

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Q: dt Explain what is wrong with the following integral: |t| VE2 – 1

A: given  I=∫-111tt2-1dt from I  ft=1tt2-1domain of f(t) is t>1,t2-1>0therefore-1<t<1

Q: Find the solotion of the differential eaoation thot satisties the qiven nital condiion

A: The given differential equation is,

Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 s y s 2, y – 1sx s 1} 328 3.

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Q: (유) 6. dy dr Evaluate the double integral:

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: Differential

Q: Evaluate the integral: 2e π/3 √√²² √²/³ t Inutans ds du dt

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Q: Suponga que la serie numérica o 10 converge. Entonces necesariamente: a. r = V5 O b. r V15 O e.…

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Q: Evaluate triple integral , S S dz dy dx. 4-y -2 Jx2 Jo

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Q: Evaluate the integral Ja (2 – 2) " da, - by making the appropriate substitution: u =

A: The given integral is ∫x2x3-219dx

Q: Evaluate the integrals

A: Evaluate∫−π3−π44sec2t+πt2dt

Q: While measuring the side of a cube, the percentage error incurred was 3%. Using differentials,…

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Q: DIfferentiate the functon. +22) #26) ge) =/1+ Int %3D Inx #H) y= In tart x In tanx

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Q: Inx 2. S soe ye*dzdxdy

A: topic - triple integration

Q: Eváluáté thè intégral. 7/4 (7 cos ti+ 5 sint j) dt -n/4 O 7N2 i+ 52 j O 7N2 i O 52 i

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Q: Evaluate the iterated integral. rIn(x) xe-Y dy dx dz 4z 434 3

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Q: Evaluate the double integral Jo J-y? dxdy

A: To evaluate: ∫02∫-4-y20dx dy

Q: With integration by parts, J udv · Judv = UV - O True O False

A: Solve the following problem

Q: Calculate the double integral. Te 1+ xy бх dA, R = [0, 6] × [0, 1] 1 + xy

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Q: Vx 3+4x+8 dx 2 vã (Vx?)

A: The given function is x34+4x+8xx23 We have to identify u and du and the form of the integral of this…

Q: Evaluate the integral. e sec²(8x) dx %3D +C

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Q: Evaluate the integral. 4VE e dt Vt 4VE e dt =

A: This is case of integration by substitution where we look for an derivative in the integrand.

Q: a) Evaluate the double integral MGUTM 1 UTMO dydr. I² + y? SUTM UTM U

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Q: ( b). Je2cos (πx) dx .

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Q: Find the exuct Sulutivn for y'=x+2Y

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Q: A bar of material with a cross sectional area of ​​40 mm ? is subjected to tensile force of 120 N.…

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Q: FCx) is continoos on L3,5) and S Fex) dx= 5 Evaluate integral

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