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Q: zy dy de t 5/2/2/0

A: To evaluate : ∫032/2∫0xxy dy dx+∫32/23∫09-x2xy dy dx The general formula of integration is…

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…

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Q: Solve the initial valwe problem using Laploce trensformotion. y (4) + 2y'(+) +5y(+) = esint y lo)-0…

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Q: If x"y" = (x+y)* m, m+n d'y prove that = 0 .2 dx?

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

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Q: SL (e,9) f(x, y) = dx dy f(x, y) dy da 0. 0. 0. O True O False

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Q: Evaluate dz where ci) .C is 1z+ Yzl =2 Ci) c is 1ztil=1

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Q: OVIS lhigaimad goinisab A awordz n El 2nibs to s(t) milov ad sd osvig 2000 W x(t)

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Q: Fain the par hicul ar foluhion 4 DE . 9xy dy ; uh en x= 2,y=1 4xy° dy = 2y (1+ y?) dx ; when x- 2…

A: In this question we will use basic of calculus i.e contact of solution of differential equation. We…

Q: So Simz So e" dz dy dx uate: e + Vē – 1

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Q: If u=x2y+y2z+z2x then show that du/dx + du/dy + du/dz = (x+y+z)2

A: Given u=x2y+y2z+z2x. Find dudx as follows.…

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: Evaluate SS 5ex+y+" dV over B where B = {(x, y, z) : x² + + z² < 1}. Take = 3.

A: The integrals in the form ∭f(x,y,z)dV is called a triple integral. In this problem, we have to…

Q: The tanh (2x) sech (2x) dx is equal to sech (2x) sech (2x) +C OA 3 10 OB. sech (2x) sech (2x) +C. 3…

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Q: AISO is isosceles with IS = IO. 22 = 2x+24, mZ3 = 6x– 52, %3D %3D nd mZ1. 1/ 3 bX 2 bx -52-180 S x-…

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Q: In lam(플 + )1-men dy is dz et y

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Q: auchy - Goursát heorem to show that dz = 0 %3D 22 + 5z + 6 Cia tho girelo Lel hoth diroction

A: In this question, concept of Cauchy Goursat Theorem is applied. Cauchy Goursat Theorem If a function…

Q: : Scot y dy

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Q: Ql if (x,y,z) =o and Z"=x+Y find d2 (using di f Beren tials concept)

A: Given  If f(x,y,z) = 0 and z2 = x + y

Q: mZQ = 41 57 T S. mZR = %3D 137 mZS = %3D 9:4 Sign out

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Q: Show that d(y,u)/dv = (1– v²/c)3? for y, = 1//1- v²/c?. %3D

A: Given: γv = 1/1 - v2/c2

Q: 3. Find x in ДPOR. R 12 О 13 О 15 О 16 O v60

A: We have to find value of x

Q: Compute |// a² d.x dy dz, where E = {(x, y, 2) : x² + y? < 1,0 < z < 1}.

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Q: if x? + y? = 4 then prove that = d'y dx %3D

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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: Sm Vx dx

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Q: Find k so that dx = ke" + C.

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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: Given y = Va In æ , what is dy dr In z+2 In z+y7 dy dr dy dr In z-2 dy In z-I dr ||

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Q: 2 If [ In(ax)dx = 2, then a %3D 1 e4 4 None es 4 4 4

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Q: Given f(x, y) = In(3x² + 5y²) then af dx

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Q: Given Yy - y = – ỹ Yy - y + y. - ỹ and (y — У )? [(Yj – J,) + ỹ, – ỹ )]² 2. %3D

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Q: 7 2 dx dy y? 3 Evaluate the integral: Jo 98 3 294 3 196 392 3.

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Q: 2 2xy) dy, v es (0, 0), (2, 0), (

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Q: Given y = 3" . In æ , what is dy 2 * = 3" (In x) + 37 dy dr 3 = 3" (In 3) (In æ) + dy dr 3" (In z)²…

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Q: dy zsin(x) dz

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Q: O, x = 2, y = dy dz is

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Q: T= tanh (x+ 2y+ 3Z) %3D finds O Tyy @ Tyx 3 Txy Tz Tzz Tzx @ Tzy

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Q: In(v¤) dædy 6. 15. Calculate ry

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Q: 5) *=ClSln t ,y =4 csst t=-2 %3D a) determine dy b) and graeh

A: we have to find derivative

Q: BeR NOULLI 's EQUOTION (2yーX)d水+ラ×ydy:o ソ+PCx)yq(x) yh XrlwDepenとn 3 y= Depen Dest

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Q: EX~U(0,1) if Y= =L l(t-x)~ Exporential (A,

A: From the given information, X~U0,1 The probability density function for X is, f(x)=11-0       =1,…

Q: 3 Prove Prive that d tin'u e I du

A: As we now the identity tan2(x) +1=sec2(x)

Q: Evaluate xy dS. S: z = 3 – x – y, first octant

A: Given query is to find the double integral in first octane.

Q: If z'y +y = r dy 1, then at (0,-1) is

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: l? sc tue suell metuozd to fired tue voune of te Solid genented the by rerolning the plene rgim…

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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…