Find fCx) if flo)=0 and the tanGat (k,F CX) has ine af Slore x(x+2) a

Q: 9. If f(x, y) = x³ + 4xy² + y3 %3D show, that f (ax, ay) = a³f (x,y) %3D

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Q: 4) [ (2– t)/tdt xdx 5) o Jr+ 2x 2

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Q: Show that x +2 and oe) = *+6

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Q: Prove that S3 = Inn(S3) = Aut(S3).

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Q: seclyltun Cy) -csc?(y!dy

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Q: 2. / Vy² – 4y + 10 dy

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Q: 6-8(/2) Ce?: x3+2°<9, x<0?\ ): ト 4,X,c03 and 年(カx2)= (4),6) = (-2x2 , 3w×2) ncludng Sfidx + dr2 = ST…

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Q: -If F= 3xyz' i+ 4x'y} – xyzk the find V (V-F) and V × (V × F) at (– 1,2, 1). Also verify that V…

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Q: lim (Vr+ 45 – Væ) =? Vx) =?

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Q: b) Evaluate: i) Sx(V ++x) dx -2 10 dx ii) J1 x(10+Inx)³ jii) Jo 1+x? dx

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Q: 6. Evaluate: cin 4 a) (4x – 3) dx c) S* 2e* dx b) L, x²(-2x³ – 3)* dx d) ƒ dx e) S,(x + 1)(x² + 2x +…

A: (6) (a)To evaluate ∫254x-3dx Solution:…

Q: x 6. Differentiate: y = x² + 3x - 1 A. C. x²+1 x²+3x-1 -x²+1 (x²+3x-1)² 0 2x²+3 eldet 10-(x²+1) B.…

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Q: y = In(4x² + 1)

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Q: Condition JW=3.6, j0=0.4

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Q: Let flx)=x² and! gix)-Xr4. Find (gof)は) (fog)l-5)= (gof)(-5)= こくい(6。)

A: We have to find fog(x) ,gof(x)

Q: Evaluate y ds, C: x = t², y = t, - 1<t < 9 |3D (325)-(5)를 1 12

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Q: use Lagrarge mul tipliers Sublect to the Constcair t to mekim,ze x+2y=5

A: Consider the given information. fx,y=x+4xy+6y and x+2y=5 Now, make the auxiliary function.…

Q: dy de Xoy. -Secxy)

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Q: of of and ду Find f(x,y) = Vx + 3y?

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Q: , if f (0) = 1 find f(1) s xf'(x)dx = 2x³ + 2x² + c O A) 5 O B) 15 OC) 10 OD) 7 O E) 8

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Q: 1-ス 17+4 キ文T AND FIMD

A: Given that:x=t+t-1 and y=t2+t-2

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Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

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Q: 6) y' 2.x-3y+4 x+y+2

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Q: If fuf fuare difla Veubableat XoeI n prove thacd Cfisfa fu) isclifferantiable at vo aucde.

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Q: What is r' (x) when r(x) = In ? Select the correct answer below: O Pu) = - Sr+1 O rw = - Sr+1 x) = !…

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Q: f(x)=Vx+10 X-4 Damain af flxt Donain of fle(x)) =

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Q: Let X-(1,0,- 1,-V2). Then, |X|l3 = %3D Select one: a. 2+2/2 O b. C. 2 O d. arch

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Q: 1 If f(x, y,z)= of then x- y- 3z ду

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Q: If u = 2- x, x/2 -xdx=

A: If u = x-2 , find integration of  x(2-x)1/2 from 1 to 3.

Q: Q,3 Evaluate [II, xyz dxdydz, 3 < x S-2,0 < y S 1,0 S zs-

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Q: let FQ) = -2Xidefined on [14], then UC Pmif) =

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