In lam(플 + )1-men dy is dz et y

Q: (a) VU (a) 'vU (1) Problem Dy

A: Using union and intersection properties,

Q: dy If e"y – y? = e – 4, then at x = and y = 2, 2 " dx - ||

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Q: Sclve th initial valu e probi dy + 2 . 3. dx3 dx? Y'c0) = 8 y"(0) = -4

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Q: fand solednen of aDE ( yoann) dy = (x.y ca) %3D

A: The given problem is to solve the given ordinary differential equation. Given ODE…

Q: NOTE: Enter the exact answer. yz dx dz dy %3D -144 –96

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Q: If z = æe", then dz = (ev)dx + (aye) dy. Select one: OTrue OFalse

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Given æ = 13t – 49 and y = 169 sin t dy dx dy dx? ||

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Q: a+ J a*dx Ina+e True False O

A: We have to check

Q: 0. gy c ube a losed Cont Conlainig he okigin it. Pycoue thal az 2.

A: I have used Cauchy integral formula

Q: d) Evaluate sech? (2x) e'anh(2x) dx by using a suitable substitution.

A: Given, I=∫sech22x etanh2x dx To evaluate I using suitable substitution.

Q: Sin JxCosx dx =? (e() b) fx'e dx=?

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

Q: of the hghset of cheryt the t y temthe 2M percetaof the tres aea dy tn than ees hae ate your

A: Given that  The histogram data of heights of cherry trees. We write the given data in frequency…

Q: and du = dx L dx = , we need to set u(x) = x-1 (x-1)

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Q: F ind the oua gohenegion Aounded ky メ=y,メ=13-が 2 x=18-y (0,9) てっ (,) Une borizontal ilement to firid…

A: The area of the region can be calculated using the formula , where is the curve of the first…

Q: Given a = 7t – 15 and y = 49 sin t dy (i) dr dy (ii) dr?

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Q: : Scot y dy

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Q: S If y = arcsin(e?z), dy dr w

A: Solution is here

Q: d Suppose a e R, where a > 0, a ± 1, what is - dz

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Q: ds?--dt? 2tet dx dz +t2" dx? Calculate the tetrad components 7

A: Solu

Q: (In x)² dx, .3 te ato u a ? and dy

A: Integratipn by parts problem

Q: d Suppose a E R, where a > 0, a ± 1, what is- - [a*]? dx

A: We need to find ddxaxwhere a>0,a≠1

Q: rL rwax=10 and [, rw)dx= 3, then 14 - x)dx =? If

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Q: After substitution is performed, what is equivalent to u14 du 3 0 9 Su u¹4 du ,14 1. 3u¹4 du 0 2 u¹4…

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Q: In OX, mAC = 120. ? A 12. mAB = %3D 13. If AC = CD, then mCD = 5 and AC X E B 24, then the D. 14. If…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Evaluate 2z dV, where E is the solid hemisphere a + y? + z² 0. E

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Q: r cot VE-tan° V cosº /T VEsin JE dx

A: Given that: ∫cot3x-tan6x.cos6xx.sin3xdx

Q: If u=e*? then du= ... %3D dx 2xe* dx 2x 2xe*

A: The chain rule states that ddxfgx=f'gxg'x.

Q: O Evaluate the foll owing in tegrals: Ins 2x+y (Sinztcany) dx dy In2 e dydx JA ROSISu, Isys2

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

Q: 1/2 yee? +4 dy +17y=0 dx2 when Pove then ydy that Sinzx, %3D0 dx

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Q: dy If y = e", then = nen-1 dx A) True B) False

A: Let's find.

Q: d = e*, we must have that fe'dx = e*. Since dle)=e", %3D

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Q: 3 3 ex dx = e3 - e, use this result to evaluate Given that %3D 7ex + 6 dx.

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Q: Given DE: dy/dx = 2x?y!/2 Determine whether there's a unique solution to IVP at point (2,4)?

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Q: 61. det t sectdt d 62. du Jo Ix/dx 0 px [Hint: Use Definition 5.5.3(b).]

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Q: SK S, (In y)-1 dx dy = e – 2 0.718 In² y cIn y 31.

A: We have to solve given double integral. ∫1e∫ln2ylnylny-1dxdy

Q: pln e" sec? e" dx In 플 Find (a).

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Q: Given r = 15 In(t) and y= 225 t then find dy dx d'y da?

A: Given that x=15lnty=225t2

Q: Evaluate: / (In(2r – 1) – () + 25) da + 25 ) dx | Limits: [1, 6] Using Trapezoidal, n = 30

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Q: dy dx If y=e+19 then O 19e+19 O 4er+19 O 57er+19 O 3er+19 2er+19

A: Please see the answer in Step 2

Q: (a) Evaluate by solving the work for (i) Sxe-*dx.

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Q: ne exact length of tne X = Vy (y – 3), 4sys9

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Q: Exe: dy 2x-el shly) ex. 65ly)+|

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Q: e? If u= In x, then 1- (In x)2 dx=?

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Q: 9. For the cur ve x = t – In t, y = t + In t, find d²y/dx².

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Q: If y = Ju+2 and u = 4x - 2, then dy/ dx is

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Q: the following dy Suve D. [- 1+ x= + XCI+y)

A: You have asked multiple unrelated questions in the same post. I have addressed the first question.…

Q: 8l Aply ithe / Jesidues de eualuate Calular Cosnede It 20 (oS0+ a?

A: To evaluate I=∫02πcosnθdθ1+2acosθ+a2 using calculus of residues.  Let us consider  z=eiθ Then, on…

Q: Given æ = 15 In(t) and y = 225 t² then find dy dx dy dx?

A: Given that       x = 15 ln(t)      and   y = 225t2 Here we have to find        dy/dx       and…

Q: Evculucte the ntegre ree)dt where re =secttleH, tine TNt C 2

A: The given function is

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.