Find the divectional desivative of div (anadF) he point (1,1,2) in the direction of 3 2 at The -i+ 4j+Bk, alhere Hectos

Q: QI/ Evaluate: 1-S(y3" + y2n + y")(2y2" + 3 y" + 6)i dy.

A: Proceed as shown below...

Q: 10 23. J (2 - 1)(22 + 9) Answer

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Q: A jwb (b-a) [ube job A سلم) ] (b-a) e + wa a (ولم _4 ou - وسلام

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Q: f6)=3x"+2Xtl, Find flo), and fC-1)

A: The given function is -  f(x) = 3x2 + 2x + 1 We have to find f(0) and f(-1).

Q: express on J5 by Jo & J1

A: This problem is solved by the concept of recurrence relation

Q: m) Linearize : -3x 天ェ_= around %31

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Q: -1/2 6) xdy+ydx=(x²+y')"/?(xdy-ydx)

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

Q: and F= 35. FIND D when Ez18, Fz40 A: (6,1) A: B: B: (4,5) 1225 1600 C: (12, 3) D: NONE C: 3600 OF D:…

A: 1. Form the given information, both E and F are positive, that is both values indicates the first…

Q: ?w Əv у Find when u = 0, v=0 if w=x² + ₁ x=6u-2v + 1₁ y=u+4v - 1.

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Q: Save THE EQUAPION ON THE iNTRaVn -5 SEe o-1=4 IF4

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Q: 2+6x+8 x 10 x+4 8. 2-8x+7 - -10x+2 9. x+4 3x+12

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Q: 3. . хр x*dx V(x2-9)3

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Q: All of the following are equidistant from the point (6,8) EXCEPT о (6, —2) 0 (-2, 12) о (16,8) O…

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Q: 3 y`dy 3 (4 -у?): 2

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Q: tet fz) =-iž, Showthat if z-iz,show thet if f(2) analyticcorno?

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Q: b)- dx a(13-x)(2+hncr)) + Ja9 differentiating on both sides dy (13-2) (2+dnc) da b9 de + be9) %3D de…

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Q: V1-y² -1 0 kpxpzp (,x + zA),I „«-,S

A: The given integral is: I=∫-11∫01-y2∫0x y2+x2 dz dx dy

Q: 8.5.3 Еxample C Consider the equation Aar+b = cx + d, (8.197) where A > 0, a + 0, b+0. (8.198)…

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Q: 3 then Fdt is If F=(3t^2+4t)i+ (2t-5) j+4t^3 k 42i-j+80k I O 42i + 2j-80k .II O 421-21+80k.I O

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Q: (d) Find (AB)-' and (BA)-1.

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Q: 1. If i = [2,-4, −1] and v = [1, −2, 4] find: a) 30-u c) Find G, where F(2, −3, 4) and FG = 3v b)…

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Q: Please help me prove this: Suppose x, y ∈ R. Prove that if 3x^3 + 21y = 3y^3+ 21x, then x = y or…

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Q: 2=Cメて+x -x2 Using Cramer's Rule メメt10n- 3xx=5 %3D

A: Solution using Cramer's rule is given as follows :

Q: Why do we get cov(y0, y0) instead of cov(yt, yt)

A: Given MA(3) process

Q: Does the limit t limit x"- 4y exist ? (2,Y) -) (0,0) Explain your answer

A: We need to check whether the limit limx,y→0,0x4-4y2x2+2y2 exist?

Q: The center of D, is (Ro, R270}

A: THIS IS FALSE.

Q: splve 15. (12х — 7) - (5х — 12) 16. (5 — Зх) + (2х — 8)

A: 15.  Given a expression,

Q: Integrate: Show that B(p+1,q)+B(p,q+1)=B(p,q).

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Q: R(w) = + Vw+5. 3w – 2

A: Domain = ?

Q: 5x 60(x, +x,) 3 b) Y = In 60(x2 . 3,

A: The given differential equation:                                                 Y=ln5x1360(x2+x1)32…

Q: Fina the are a bounded ナトe fo llo Wing Curves 16-X2.こ0メニ メ33

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Q: What meaning can be attached to this cross product: r the toolbar, press ALT+F10 (PC) or ALT+FN+F10…

A: The cross product of two vectors A→ and B→ is given by; |A→×B→|=|A→|×|B→|×sin θ And the cross…