Evaluate S S"(2y² + x)dædy

Q: 7) S fysinx'dxdy 1 ans:- (cosl–1) 6 4 -y

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Q: 10. dr S f(æ) dx = Choose...

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Q: 2) Use the antiderivative to find the exact answer for (hint u=3x) 1+9x²

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Q: "I INAICATE If THtE fOLLUWINh SRRZES ConveilCE OR DeveRしe。エ0ENTICY Tésrs Uszo. TESTS HT in (4nt -n)…

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Q: (7) In general, (SOT)CSnT.But, (SnT) + SnŤ.

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Q: 2 al S ex+y dydx

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Q: Let z 2ev Then: 8z 8z dy sissis

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Q: a of the following juncions. s- 1 (b))F(s)% = %3D 2s2 -8 s + 11

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Q: which of the folowiny -xト! is -3x 2 へ pove seies fore =e.e e E (-)"(-3x) n ハン 0 37 B. e (3x)" nこO *ス…

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Q: The IVP is well-posed if f(t,y) =y satisfies the Lipschitz condition. Select one: O True O False

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Q: 2etūsw ER' such that and iov-2.Than (3ü)(B)

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Q: 4. ( Give a case in which |(x, y) |xlly|l.

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Q: Let D-{tx.y.2) : 2+y?s2s 1, z2 o}. Evaluate z dv.

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Q: 7. Show that Sx" Inx dx =Inx-+ c. n+1 %3D + C. n+1 n+1]

A: Using integration by parts we can prove the given integral.

Q: Find the aven bounded by y=x and y =x+2

A: First draw the graph of the function and find the intersection point of the graph:

Q: الموضوع Q the eahation yto)=2 6x+2 she 0E lementary value se issue. Qboundaryalue auestion a…

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Q: Let D={(txy.2) : x²ny2sz²s 324, z2 Evaluate z dv.

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Q: S dy 7 y2-8y+5

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Q: A. Evaluate the follow 1. S dy 3+√y+3

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Q: dz 14. Evaluate S z(4+2)

A: Given: ∫dzz4+z23. Evaluate the value of the integral.

Q: 1f itwas x25ect, yatunt prove Thut dy

A: Simple derivative

Q: Find the Gomplex sdutiona to the e/s 4. (You maly expres the latems in Gmiblex Polat fom).

A: We need to find the complex solutions corresponding to z4-[(1+i)/√2]=0. The solution needed to be…

Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: X = {a,63 wiTe tind large To Pology le T 2) on X

A: There are 4 topology based on above given set elements Discussed below

Q: Четверг show that the inu of a bounded E tix-oy ne 7 8. use T

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Q: Evaluate In r dydx y – K + 13

A: In this question we have to find double integral.

Q: prove: sE121y |Re(z)+| Imcz)l

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Q: 3 1-Vy dy 2 2у3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: S F(s) %3D (s+5)6

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Q: - Suppose itat ". *, are foot chebjshev poy nomial T,So detdmin irtelpola ting rol, nomal -f Tthe…

A: We are given that x0, x1, x2 are roots of Chebyshev polynomial T3. We know that T3(x)=4x3-3x. And…

Q: 3 II vcos (=") dz dy dz Evaluate 0,

A: Then given integral is  ∫01∫0z2∫03ycosz5dxdydz

Q: Please see the attached problem. Thanks!

A: Given:

Q: In(y) 6° Evaluate dy.

A: Consider  I=∫19ln(y)ydy

Q: Q2-Prove tut- va" - r* ify =()()+ ()F-7 if y =

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Q: Fin Sup(S) and Inf(S), Where 1 S = {1. п

A: Consider the set S=1, 12, 13, ... , 1n, .... Observe that as the value of n approaches to infinity…

Q: 3. Obtain the 6.S. sy dx + taydy = 0 xcos

A: We have given equation  xcos2y dx+tany dy=0 xcos2y dx=-tany dy x dx=-tanycos2y dy x dx=-sec2y tany…

Q: O Evaluate: | (In a + xe" + Vry) dy

A: Solution of the problem as follows

Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

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Q: 2. Evaluate f'(5) for y = v2x² – 1 hor Ju OIT

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Q: What is the net crarop for fW={+5,05 as we qo from x=2 to X=5?

A: The given function  f(x) = x2 + 5

Q: 9 show Itat Ihe maclayvin Sevies For Hense is メ+ メ t.. 4- X

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Q: 7. f(t)=3e" cosh (In 21) -2t in two ways.

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Q: lestion 25 Consider the following IVP: y" + 3y' + 2y = 12x?; y(0) = a, y'(0) = b

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Q: Find y' if y= In coshv tanh v. y =sech v-2tanh v O None of the above O Option 4 y=tanh'y y'=tanhv –…

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Q: c) Evaluate ſ x*(In x)²dx

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Q: Write equation for each ellipse

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Q: 2s+2 ds = In|s| – In\s + 2| + C %3D s3 +3s2+2s

A: Here, we are solving only 1st question and for the remaining question post the question again.…

Q: EVALUATE S(3sin t - 2cos t) dt

A: Topic = Integration