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Q: ExJ Describe the values of aoia, and ag such hat + Qi fj + Qg f +2. Furthermore, find the eror term…

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Q: QNO. 2 Differentiate cwith respect to variable involved

A: 1- Given- y=x2-1x+1x3+132 To Find- The derivative of the above expression. Identity Used-…

Q: af find given f (x, y) = e + 2xy² - 4y at (0,3) 9 ду O-12 O-7 O 8 O 4

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Q: Sr-y What is the degree of f(r, y) %3D

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Q: us the defihition of darivatives Ves to fihd f(%) where f 6)=taly

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Q: sin Vr?+y? dzdy Vz²+y? Evaluate: 6' S O (V2 2) 8 (2–/2)= 4 (2-V2)T 8. O (V2 2)m 4

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Q: the salution of the înifial gruen em. hy+ yestx- xye"=0 solue it by explaining pleose you

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Q: Vhat does ()r dR mean in practical terms? dp

A: In practical term dR/dp mean the change in the quantity R with respect to p .  That is how one…

Q: Let f(x, y) = 9e2xy what is fxyx (x, y) =? %3D Select one: O a. 72ye2xy + 72xy²e2xy O b. 36хуе2у +…

A: Given: f(x,y)=9 e2xy ; To find the value of fxyx(x,y)=?

Q: Cind the Solution of dipperential equcetion イ+1-イ

A: See the attachment

Q: dxdydz Evaluate 'V1-x? NI-x²-y² V1-x2-y?-z2

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Q: [38] Evaluate f, 40yds where S is the portion of y=3x2+3z2 that lies behind y=6.

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Q: Q3 Evaluate fII, xyz dxdydz, 3 < x < -2,0 < y < 1,0 < z S.

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Q: In r e) I/1+ (In z)² dr

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Q: mTQ = %3D mQR = %3D U 44 mTS %3D T. R 25 MSQR %3D MRQT %3D

A: Problem 1   Problem 2

Q: dx Evaluate: V4-x² Tt/6 T/2 T/3 None of the choices

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Q: niblori ot (xOR ouneven ent (0)? Explain. g d. Is (fg)(0) = %3D

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Q: Sf(x)dと SgCx)dx, suppeat 9 Explain why SfC dx 7 goa) Counter ekample to やU8e a your claim .

A: Use substitute rule unless the integral can be simplified and directly evaluated. Counter example is…

Q: e) Use (; a²p Find the value of Vm at which both of these deriva- T to find aVm tives are zero.

A: I will present e bit for u in the last step....inorder to show u the steps clearly of e bit , I have…

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Q: Q3/ Find length of the cardioid r-a@3from 0 = 0 to 0 = n %3D

A: The equation of the cardioid is r=aθ3. The length of the cardioid is given by the formula,…

Q: 26. f(y) = y(2 – y), g(y) = %3D

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Q: d. y =x (n* + e*)6

A: Given that, y = x (πx + ex)6 And we have to calculate the differentiation of the given function,

Q: Comsder the qunchion g: [-3, 0) to R dezined! by gex = (x+3)?+s 'Fnd y guny pl and thoding its…

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Q: R-{(A B) E Pex) .Pcx: A: Is it R com Pletely related ?

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Q: Calculate y', y" and y" for y = . [Hint: y= r-le", product rule, several times.] use

A: Topic  - differentiation by parts

Q: O Evaluate, (a) / 3y* In (y) dy

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Q: the va q² +y? +æy ) at x = 1 and y = 3 is %3D

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Q: af Find the ar I and iff (x,y) = x² - xy, x = r² + s and y =r - s² as

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Q: %3D Evaluate the fo llowing intergrals nest_x5 dn.

A: Solving by definite integral we have

Q: Find length of the cardioid r=a0³from 0 = 0 to 0 = n %3D

A: Length of the cadioid is given by below formulaLength = ∫0πaθ3dθ

Q: d²y Given that x3 + y³ = 2, prove that 4x dx² y5

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Q: Q.1) Evaluate rsec(x) 3cos(x) dydx Q.2) Evaluate -dzdrdy 1+y

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Q: jx-P,(x)dx, n= 0,1,2,... -1 Q.3 Evaluate:

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Q: Evaluate y Ja² - y2 dy [hint: assume y? = a?x], %3D

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Q: f(2ecz tan z - 6z")dz=_ • tan z+z+e secz+z+e • secz-z+e - secz-z+c •- secz+z+e

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: ISE THE DEFINITION TO FIND 0くtz2 fee) = t. tz 2

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Q: Campute the improper in hegnel S, xe

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Q: %3D otheowis Jiven that Pa) is apd f O find c ?!

A: 1) The value of c is obtained below: Given pdf is, f(x)=cx, 0≤x≤2 ∫02f(x)dx=1∫02cxdx=1   cx2202=1…

Q: Find the extrema of (x+1)(y+1)(ax+by+c) Where a=8,b=7,c=6.

A: Let F(x)=(x+1)(y+1)(ax+by+c)       Where a=8,b=7,c=6. Or     F(x)=(x+1)(y+1)(8x+7y+6)…

Q: Thnd the ceneral olution f 学了 differatial 2Sin 20-400520 The squation de

A: firstly we find C.F and then P.I. general solution,  y=C.F.+P.I.

Q: 8. f Flnn) = ( uv, u? v³) O Find d5 O Find 元s %3D

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Q: plve the piecewise linear ODE, y' – y= f(x), y(0) = 1, where f(r) = 1 when 0 1. What is y(2)? Ro

A: y(2)=1

Q: AssIGN MENT2 : 2nel Order Homagenats ODE Egu 8 Fid geresal selution for ;- =0 | dx² dx y" -12 g'…

A: General solution for :   a)  y''+16y=0   Solution:                   This is the second-order linear…

Q: UCe the Vmit de fi miおもn of rhc aefrile へとgral, im ; fcxi)x - 5fしょsdx」 to prove hat ハう fex) dx= -…

A: Prove ∫abf(x)dx=-∫baf(x)dx using the limit definition of the definite integral as follows. By limit…

Q: flx) =-ax²+4 concave up? concave dorwn? inflection pts ?

A: Since, you have asked several parts in a single request, we would be answering only the first 3…

Q: f f Find Af = where f(r, y) = In (9r2 + 5y2 – 3r). %3D

A: Here f is two variable function .To find ∆f , first calculate fxx and fyy then add them.To find fxx…

Q: Q1. Consider the two different losses: (i) zero/one loss where Ai dij = 1 and (ii) generic loss…

A: Given Consider the two different losses: (i) zero/one loss where A₁ = 0 and Aj = 1 and (ii) generic…