Edx rB(2x+2) x2+2x t2 D(2x +2)dx (x²+2x+2)² Cdx (x²+2x+2)° (キャ9x+9×+x-x)dx (x-1)(X*+2x +a)* Adx x+ 2x+2 J( X-1

Q: x* + 5х 5. Зх + x² - 2 3x3y3 4xy :- y-x 7. X-y

A:

Q: 2r-4-x 2-2r 3 in Ir+1+3Inlx-3|+C +1-3hx-31 +C Option 1 Option 2 2 In Ix + 1-31nlx-31+ C 2 In Ix+ 1+3…

A:

Q: T : R² → R³ -3x1 + x2 (:) 3x2 x2 2x2 Ex: 5 : 5 T Ex: 5 -1 Ex: 5

A:

Q: x2-2x х3 - 3х2 A - In Ix-3x² | + C C In Ix - 3x2 |+C BIn Ix - 3x2 I + C D In I x 3x² | + C A B.

A:

Q: A у 3 34.661 + 0.433х В у - 0.777 + 12.0623x B) Су - 12.0623 + 0.777х D у 3D34.661-0.433х

A: Given data : X Y 96 99 81 47 71 78 72 34 50 66 94 85 77 82 99 99 67 68

Q: 5. (x 3D 2 + 2)(4xD – 1) 6. (4xD – 1)(x 3D 2 + 2)

A:

Q: 2. y" - Зу' +2у %3D е** + 6х3 — 2+ 3sin(4x)

A:

Q: 1. 9s + 2s - 3s - 6 2. 12t - 4t - 6 + 5t 3. 18г + 13г + 4г - 3г%3D

A: Combine the like terms to simplify the given expressions. Solution 3.…

Q: Example 3 (4x + 13)² = Example 4 (6x – 4y)2 = %3D

A:

Q: S (3׆12x - 15) (3 2dx 2dx 4) X(3(Inx)*+121nx-15)2

A: We have to find the given integral

Q: O y =2x + 3 O y = 1/2x + 3 O y= 1/2x-3 %3D y = -1/2x - 3

A: Given graph is

Q: Ive: x- 2 x- 2 3 %3D 2/3

A:

Q: 2x 3y 3 10 3y 5x = 2 %3D 4 3.

A: Given system of equation is inconsistent

Q: 4 y = 2x + %3D -4 -3-2 -1 N 2 3 4 -1 -2 -3 -4

A: Question is related to system of two linear equations

Q: :5sinx = 3sin x + V3.

A: The calculation are as follows

Q: -4 y=름 (x+3)2 3 -2 -1 4 3 2 1 。 -1 -2 -y=3 ↑ y=0 1 -y=큼(X-3)- 2 3 A

A: We need to find area of the bounded region (A) and moment of area about x-axis (Mx) and y-axis (My)…

Q: う こ -2 5 3x 5. ニ -2-1 -6-1 5. 3 う Xこ-チメ5 3x2 X ニ -35 +一3 ーIの

A:

Q: 4) y = v4 - 2x +5 5) y = v3x + 2 - 1 6)y = V2x + 7

A:

Q: 3) fAx)= 3x² - 4x + 4) Ax) = 2r² – 20x – 13

A:

Q: 8. 8x - 16 8x + 8 %3D 40 24

A: to solve 8x-1640=8x+824

Q: 2. у" — у%3D 4 сost у (0) %3D0 y'(0) = 1

A: We will find out the required solution.

Q: 5. y = x² - 4x Xx -2 -1 0 1 2 3 4 5 6 y

A:

Q: 3. (-2x+3)+(4x – 3) 4. (2x² +2x- 4)+(x² +3x+ 7) 5. (3a² +a– 4) +(a² – 2a – 1) 6. (t² – 1)+(2t +3)

A:

Q: 8. y = x2(x + 1)3 9. (2 x- 1)' (x+ 3)* 10. y=5 x- 3 11, s 3 V16+ KIDA

A:

Q: 5. x' = 3x - y, y' = x + 2y

A:

Q: x+3y=8, y=2x-9 substitution method  and chec

A: We have, y=2x-9and, x+3y=8⇒x+3(2x-9)=8

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

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

Q: 6. V-361v-529 = -539 7. V11

A:

Q: Use matrices to solve the system.

A: 2x-3y+z=23z+2y-z=-55x-2y+z=0 The given system can be written in matrix form as, A=2  -3     13     2…

Q: –2x,+x,*X2 -2x,+x,*x,

A:

Q: カーて A %3D 3.

A:

Q: 4. xy-4z2 = -7; P(-3, 1, –2) %3D

A: According to the guideline we should have been able to solve only one question at a time

Q: 2. 3x %3D 3. 4. 7+Vx = 12 5. 3x -5 = -8 V3x-2 =5

A: Taking square or cube both sides as required then solve

Q: tions: (4, 7); y = 3x + 6 %3D

A:

Q: 5. 3x² + x -1 x+2 A 3x2 + 5x + 9 In I x + 21+C 2. 3x2 - 5x + 9 In I x + 21+ C 2. B 3x2 + 5x + 9. + C…

A:

Q: 8. x2 + y +22x + 18y+ 215 0 9. x2 + y + 14x- 14y + 98 0 %3D

A: we have to find

Q: 11. fAx)=(4x -72 +2) - (9x +3x -7x) (a) 1 (b) 2 12. fx) = (-2x -4x+1)(5x -7x +2xr-1) (c) 3 (d) 4 (e)…

A: 11: Given polynomial is: f(x)=(4x4-7x2+2)-(9x2+3x4-7x)f(x)=x4-16x2+7x+2

Q: 4 0 A-l = %3D 4 -1 and 2 5 B-1 = -3 -4 (AB)-1

A:

Q: Solve the system.

A: 4x+5y=13    →13x+y=-4     →2

Q: 2xy²-x³(2y²÷x²)+(xy⁴÷4)

A:

Q: 5. 4x- бу %3D 12 2x + 2y = 6 の)

A:

Q: Show the solution

A: Given differential equation is

Q: YA x = y² – 4y (-3, 3) x= 2y - y²

A: The graph of the region between the curves is given by To evaluate : The area of the shaded region.

Q: %24 2) y= 2Vx+1 %3D 9- 9- レーメ Ay 3/ 1) y%=

A: Topic = Functions

Q: 3x-y 6 3x +y = 6 -5x - y + 5 = 0 %3D 5x +y = 5

A:

Q: Find ATA and AAT. 2 A = 1 4 0 -1 2 (a) ATA 2 2 2

A:

Q: 3. ху' — у %3D у3соs 3x

A:

Q: 2х - у %3D 5 5х + у %3D 16

A: Topic:- algebra

Q: Solve the system.

A: Given,                 2x-3y=5                 -6x+9y=12