4. If z = x + iy = (x, y) then the Re(iz) A. Imz B.-Rez C. -Imz D. Rez E. none of the above

Q: 3 Find y" for y = 5 + y" =D

A:

Q: Find y" for y = 4+ X y" =D

A: Taking first derivative,

Q: 15. z+i · (z − 1 − i)³(z − i) JR-1 dz

A:

Q: If W= x³y?z4 + 2xy +z Then W,(-1,1,2)= -31 ylgn C ihi C

A: True

Q: 2. x = u² + 1, y = 4u² – 4u

A:

Q: 5. St V1-t dt

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

Q: 2x+3y -2 = 4 3X++22= 13 X+ 2y-s2=-

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: y = x + C,e* + C,e-2*

A: y=x+C1ex+C2e-2x

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: d (3y? + 4y +2 Find dy y

A:

Q: 3.2 X(x²-1)-y=xy* ;y(2)=-

A:

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

A:

Q: 3. Sole the following simultaneous ODE y₁ = y₁ + y₂ y₂ = 3y1 - y2 1. Add file *

A:

Q: 6xy — 2x — 8zx2 = 0 6xy — у — 2zy2 = 0 4x² + y² − 2 = 0

A:

Q: 5. Evaluate J2xdx, a, x' +c b, x+c C. 2x+c

A:

Q: 2.

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Q: 7. Which equation is for the line passing through the points (0, 2) and (3, 8) ? * O y = 2x + 2 O y…

A:

Q: 2. x + y – z = 2   2x + 2y - 2z = ­6  5x + y – 3z = 8

A:

Q: 4. (x 2)2 + (y + 4)2 = 16 %3D

A: Since you have asked multiple questions in single request so we  will be answering only first…

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

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

Q: Find the center and radius for each equation of a circle.

A: Solution Given that the equation of circle  (X+5)2+(Y-6)2=121.        (1) Then find centre C( ,) and…

Q: дz дz If z = f(x, y), find a and for the following equation əx ду z = x² + 3xy + y³

A:

Q: 26. A = 2î + 25 27. B = -2î + 2ĵ 28. Č = 3î + j y 24 24 1. -3 -2 -1 32 -1 -1 -3 -2 -1 3. 2. -1 -1 -2…

A:

Q: 6. Show that (1) Cou(B1, g) = 0 (2) Cov(3o, B1) %3D

A:

Q: X y Z If (b-c) (a-c) (a-b)' = A. x+z=y B.x=y+z C. x+y=z D. x-y=z = Which of the following is…

A:

Q: 5) y = V V+ V? + Væ

A: The function: y=x+x2+x

Q: Set X = x 0 1 Y where x, y are unkonwns. Solve the equation X² = 10

A: given and

Q: 7. х — 4у + 4х — у+ 2z %3D —1 2х + 2у — 3z %3D - 20 z = 6.

A: solution:-using substitution methodx-4y+z=6 ......(1)z=6-x+4y4x-y+2z=-1 ......(2)2x+2y-3z=-20…

Q: 3. +y -cas x Ans. Cas 2X

A: According to question, Given differential equation, y'' + y = cos2x

Q: If x2 z2 + y² + xz3 = 3, then dz at the point (1, 1, 1) is: O b. Ос. - 3 d. - 3 Ое. f.

A:

Q: iv) if z = (xy)¯1 then zx – Zy = %3D b.x + y c. z?(x – y) d.z²(x + y) a. x – y

A:

Q: dx, dt d²x₂ dx₁ + dt² dt 7. X₂ = a₁ 8. X3 = X₁

A:

Q: 2. 조우 X*-xy y-3 Find van d

A: