Sohe the folloce ing Systems = 2x4 -5x2 -cast dt dx2 ニター2x2 +=9n+ by usfng the methpd of undelermined coefficients

Q: Solve the systemx′ 1 = x1+2x2, ......................(9.1.7) x′ 2 =2x1−2x2........................…

A: The given system of equation can be written as:

Q: 1) y = Vx2 – 4 2) y = x²Vx3 – 1 3) y = (4x²Vx3) 4) y = x3 + 2x2 – x + 1 5) y = 5x3

A: If y=f(x)n ⇒y'=nf(x)n-1f(x)' We know ddxxn=n xn-1

Q: Solve the system in anyway: y = 3x - 2 and y - 2x = -5 O(-7, -19) O(-3, -11) O(-3, -7) O(-7, -23)

A: The given system of equations is  y = 3x - 2      ..... 1 y - 2x = - 5      .... 2

Q: ZA = 5z - 12 ZB = 2x + 24° %3D

A:

Q: Consider the system 5х, — х, — 2хз %3D12 Зх, + 8x2 — 2хз — — 25 X1 + x2 + 4x3 = 6

A: For the Gauss-Seidel method we write the system of equations , for each k=1,2...,n as follows…

Q: Solve the system: 2x + 3y + 7z = 13, 3x + 2y - 5z = -22 and 5x + 7y - 3z = -28

A: Given the system of linear equations: Using Cramer's rule:

Q: Differentiate: y 3x-5a-3+72-9x O y' = 12x+ 15z + 14x 9 O y' = 12+ 15z 2 + 14x 6. %3D O y' = 12z+ 15x…

A:

Q: 3x 5y - 10 - 4x 4y - 8 |

A: The system of equations are 3x-5y=-10      …(1)4x-4y=-8        …(2). Solve the system of equations…

Q: Differentiate: y = (2x² + 5) (3x³ – 4) %3D - O y = 30x4- 45a? – 16x %3D Oy = 30x + 45x2- 16x %3D Oy…

A: we have to differentiate y=(2x2+50(3x3-4)

Q: 7x + 3y + 4z = 5, and 21x + 9y +12z = 13. %3D Neither

A: Given:7x+3y+4z=521x+9y+12z=13

Q: 80lve the system +72= 1 -by %3D + 3z = 8 . %3D 2z =4

A: The solution of the system of equations are the values of each variables which satisfies the…

Q: Use matrices to solve the system.

A: Given system, 4x-y=22x+2y=14x-5y=3

Q: Solve the system x + 4y - z = 20, 3x + 2y + z = 8 and 2x - 3y + 2z = -16.

A: Now adding equations (1) and (2), we get

Q: Solve the system: 3(2x + y) + 5z = -1, 2(x - 3y + 4z) = -9 and 4(1 + x) = -3(z - 3y).

A:

Q: 2x + 6y - z = 4 4x +5z = 7 3v - 27 = 0 A. (-1/2, 3/2. -1)

A: solution: The objective is to solve the given linear system of equations

Q: stlons 18 and 19. actor completely. 18x +3x -6x

A:

Q: Solve the system: x + y + 2z = 11, x + y + 3z = 14 and x + 2y - z = 5.

A: the given equations are: x+y+2z=11x+y+3z=14x+2y-z=5

Q: 1) V29 2) Vr12 3) V16x7y5 x100 50 7) V y200 4) V(3x – 2)8 (Зх — 5) V25(x + 2)2 8) V32y725

A: Simplification

Q: Solve the system: 3x + 2y - 3z = -2, 2x - 5y + 2z = -2 and 4x - 3y + 4z = 10.

A: Given the three equations 3x + 2y - 3z = -2, 2x - 5y + 2z = -2 and 4x - 3y + 4z = 10. We need to…

Q: Solve the system: x + 2y - z = 5, 2x - y + 3z = 0 and 2y + z = 1

A: x+2y-z=5    →12x-y+3z=0   →22y+z=1            →3 Now, 2×Equation 1-Equation…

Q: Solve the system: 7z - 3 = 2(x - 3y), 5y + 3z - 7 = 4x and 4 + 5z = 3(2x - y)

A: To solve the following system of equations: 7z-3=2(x-3y)5y+3z-7=4x4+5z=3(2x-y)

Q: Use Cramer's Rule to solve the system. { 9x = -15 У + 3z = 7x 4 Зу + 9z % 45

A: According to Cramer’s rule, the solution to system of equation is given by,

Q: What value of b will make the system y=3x+2 and y=3.5x+b intersect at the point (2,8)?

A:

Q: 6x3 + 13x2 - 11x - 15  devided by  3x2 - 1x -3

A: Quotient= 2x

Q: x- 2y = -4 2x – 6y = -14 %3D (-8, 3) (-8, -6) (-3, -8) (2, 3)

A: Answer

Q: Differentiate: y = (3x 교-5z) (4n3 +2) O y' = 60a + 80a- 12a 10 - O y' = 60x + 80a + 12x O y' = 60x4…

A: Let's find.

Q: Solve for the system: y = x² – 2x +2 and 1 = 2x – y

A: Given that y=x^2-2x+2 1=2x-y

Q: 7. -4X - 2y = -12 4x + 8y = -24

A: To solve for x and y. -4x-2y=-124x+8y=-24

Q: Solve system of linear eqvatien by elimination method 2x=6-4y 15x-8=10y %3D

A:

Q: elon ding Gau Seveder = 24 Solve ke linear System Seidel od + 4X2- X3=30 %3D X2 + 4x3 = -24 where X,

A:

Q: does y=5x-4 and y=5x-5 have no solution, one solution, or infinitely many solutions

A: Given that two lines. y = 5x - 4 and  y = 5x - 5.  Both lines have same slope m = 5.

Q: operator METHDU . y" - 3y' +2y = e4x + 6x³ – 2+ 3sin(4x):

A:

Q: Please do using Crammer's rule 3x 3 Linear system 2z +y-2z -1 3z- 3y-z 5 z- 2y +3z 6 5.

A: We will use Cramer's rule to solve the system as shown below

Q: Sx³e*/2dx

A:

Q: The rank of the archives has been using the method of operations of the first 2. 2 2 3. -4 3. 1.

A:

Q: 11) -3x+7y=-16 -9x+ 5 y = 16 %3D

A:

Q: 2x – 5y + 5z = 1/ -(1) x - 2y +3z = 9 -x + 3y = -4 -(2) -(3)

A:

Q: Integrate √3y-7dy

A:

Q: 4x, +2x, + x3 = -1 -4x, — 6х, + х, +Зх, %3 3 8x, +16х, — 3x, — 4х, %3D-2 20x, +10x, + 4x, – 3x, = 4…

A:

Q: If y (x25x-1)e2x then y (3x2-10x+7)e2x O (2.7x+4)e2x O(22+ 12x + 3)e2x (2x+5)32x (2x 52-1

A: Given,

Q: Determine the distanee between the point ( 2,-3,1) and the point of intersection of the following…

A: We have to find the distance between two points.

Q: 5. (2x + 3)y' = y + v2x + 3

A:

Q: Specify a linear combination in terms of coefficients?

A:

Q: 4. Solve the system using algebra. 3x-2y+4z =-1 5x-3y+5z = 2 6x – 2 y + 3z = 5

A:

Q: Explain why A and -A always have the same reduced echelon form R.

A:

Q: Зх, — бх; + 6х, + 4xs — — 5 Зх, — 7х, + 8хз — 5х, + 8х, — 9 b) Solve the linear system: 3 3x, – 9x,…

A: See below the answer and explanation

Q: 6x-5y+z = -9 . 8x-7y + z =7 9y 2z = - 2 %3D

A:

Q: Expand (x²n + 2x"y" + y2n)(x2n – 2x"y" + y2n)

A: To evaluate: x2n+2xnyn+y2nx2n-2xnyn+y2n We know that xm×xn = xm+n

Q: +3y = shx %3D *2

A:

Q: 9. y = Vr² (2x – z²)

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.