1. If u(x, y, z) find = 21 v(x, y, z) Jºu əx³əy² əzª x³y³ 25 and ე10 əx¹ Əy¹ əz² and w(x, y, z) Jw əx²əyəz = y³√2x² - 325

Q: 3 (V32.x25 y5 z10

A:

Q: 2. y = Vtan x

A:

Q: 1) Linearize: 3x arourd 天=l %3D

A:

Q: у" — бу' + 9у %3 t'e", y(0) 3D 2, У (0) 3D 17

A:

Q: 2. x = u² + 1, y = 4u² – 4u

A:

Q: If A = 2 4 and B find: (а) АВ (b) А + B" (с) 2A' - В

A: Topic:- matrix algebra  Note:- as per our guideline if more than three subparts than  only first…

Q: 4. (a) Prove, without recourse to geometry, that u • (v × w) = v • (w × u) = w • (u × v) = −u • (w ×…

A: Solution: To  solve  the  above  problem,  we  need  a  basic  result .Let  us  recall  that  first…

Q: 5. St V1-t dt

A: We solve this integration by substitution method by putting                         1 - t3 = u…

Q: Let F(x, y, z) = x3³yz² - 6x²yz + 9xz - 2y³z. Find F Fxyz' 3x²yz² - 12xyz +9z+ x³z² − 6x²z − 6y²z +…

A: This question is based on Partial Derivative.

Q: If U = xz - x²2y + y²z², evaluate div grad U O2y + 2z²+2y² O -2y + 2z²-2y² O2y-2z²+2y² O2y + 2z²-2y²

A: I have given the answer in the next step. Hope you understand that

Q: 3) u = y f( ise XU, + yu, t zu. = ?

A:

Q: дz дz Givenz = xey +yex, Find дх’ду

A: in partial differentiation , other variable is considered as constant when function is…

Q: Solue the guen equaitions %3D

A:

Q: 7-9. Write the polynomial in factored form and then in standard form (multiply it out) with the…

A:

Q: 2) x + xy+y -7= 0, (1,2) Ans. -4/5

A: We have, X^2 + xy + y^2 - 7 = 0 Differentiate with respect to x, we get 2x + [ x • dy/dx + y • dx/dx…

Q: 2 4 Ayz x = By + Cz' ||

A:

Q: If r(x, y,z) = (x² + y² + z²)!/2, find a²f a²f əx²'əy² ' a²f , аnd дхду

A:

Q: 3 For V- , evaluate y' when y= 4. A) -4 B) 4 (c) -2 D) 2

A:

Q: 2. Show that (a) Re(iz) - Im z; = (b) Im(iz) = Rez.

A:

Q: 2) y' – 10y + 25y 24te y(0) = –2, -10; - = (0)fi

A:

Q: if uxv=(1,-1,2) then (2u-v)xv=

A:

Q: Find.: if dy æ*y+æz – yz² = 7. - -2y: 2yz-z C. E. None of the others. /Geen van die ander nie. 비 비…

A: Given; x4y+xz-yz2=7

Q: Consider the following bivariate data. Point ABCD EFG HIJ 0. 1 34 y 5. 8. 4 3 4. 1 1 (a) Construct a…

A: Hello, since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: If xly then gcd(x,y) = y. إختر واحدا:

A:

Q: e multiton 4 = 7 3 дове xy'+5y=3xуз

A: Given differential equationAssume

Q: 5(u-) du 2. 2

A:

Q: 1. x² · x -3 2. ) 2 (y)' 3. m-3

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

Q: -5 8 -7 = A فأن قيمة A12 تكون 1 س أذا كانت 5 -4 -8

A:

Q: 4. If w = x²y + y²z + xz², show that дw Әх дw дw дz = (x + y + z)2.

A:

Q: 1) x² – y² = 25 , y" %3D

A:

Q: 2.

A:

Q: 10. y = -x- 2

A:

Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

A:

Q: Sv.Vdxdy = dxdy = ду 2 + JR V.(6,x)-V,(b,x)]áx + [ [7 (a, y) –V,(0,v)ky.

A: Here is the solution of the given problem.

Q: Find x and y. if (x y) (² _-3) = 4 -1 = (2-4).

A:

Q: If u=(2,4)�=(2,4)  and v=(3,−4)�=(3,−4)  then proju(v)≈

A: The objective of this question is to find the projection of vector v onto vector u. The projection…

Q: IF layy.z) = I, evaluate S tby,z) dv, where E = {P,O, Q) : osGS IM , %3D

A:

Q: 1-3у 2у - Зу? 1.

A: Given: ∫1-3y2y-3y2dy

Q: 1. R= {(1, 1), (2, 2), (3, 4), (5,9)} C ZX Z 2. R= {(n, m) ENXZ: n² = m} CNXZ 3. R = {(n, m)…

A:

Q: Find r, s, and t so that (a) z = 1 2 x, (b) z + u = x, (c) z − x = y.

A: Given  And z+u=x and z-x=y. We need to find the value of r , s and t.

Q: 2 a) y = Find y'. 3e (ax-5)4

A: Explanation and solutions is given below.....