Q2: a) Find Characteristic equation, Eigen values and Eigen vectors for the following mat [1+1+2 Ma b) In the group (Z, -{0}.•, ), find the value of x if 5•, x = 7. | [1 Ma

Q: 00 2x 10 Vx+1

A:

Q: 2(7-3x) =1/4

A: The equation is, 27-3x=14 Solve for x as, 27-3x=12227-3x=2-27-3x=-23x=7+23x=9x=93x=3

Q: 8

A:

Q: 4x= o +4 X+1'

A:

Q: W = 40p + 1.5p (t - 40) for t (payroll accounting)

A:

Q: 2/5 + 2/x = 3/x  -4

A: Given equation is

Q: S(x*-3x3 +- -2)dx = x(8x*-30x3+5x-80) + C 1 %3D 40

A: Consider the right hand side of the given equation. The integration formula is  ∫xn=xn+1n+1+c

Q: S₁ y² – 3ydy 11

A:

Q: Y=kx +3 for x

A:

Q: x/2+x/5=5/4

A: Given,

Q: is y=3x+4 a direct variation?

A:

Q: y = 4/x2

A: The given function is y=4x2. Sketch the graph of the above function as shown below.

Q: 2x 入t]

A:

Q: find the constant term of (2x² + 1/x)⁹

A: find the constant term of (2x² + 1/x)⁹

Q: Find dx2 e 2Y +x = 6y

A: differenciate given expression with respect to x

Q: X/6-1/3=1/2

A:

Q: Find the following

A: Given,  ∫12x+52dxFormula→∫xndx=xn+1n+1,  n≠1

Q: P1/3=20

A: P13=20

Q: Solve 3x + 2y > 6 graphically.

A: Shaded area below is the graphical solution.

Q: y = 1/2x + 5

A:

Q: 21/x - x = 4

A: To solve: The equation 21x-x=4. Calculation: The solution of equation 21x-x=4 can be obtained as,…

Q: Differentiate y = (9x - 1)³. y = 8/9x - 9+

A:

Q: 3/4 x -3 = 18

A: The given equation is 34x-3=18 We solve the equation and find the value of the unknown variable x

Q: Y + 7 = 4/3 (x -4)

A: We have to find the slope of the given line also graph the line in coordinate planes.

Q: 3. %3D 3170

A: First convert mixed fractions to improper fractions

Q: 5x 2 K 104 110 7. y%3D

A: Given, A cyclic quadrilateral JKLM ∠J = 5x° ∠K = 2y° ∠L = 110° ∠M = 104°  We have to find the value…

Q: k/3 - 1 = 1

A:

Q: Classify(name) the conic: Axis of Symmetry parallel to: x- axis or y-axis (circle one) Opens: Up…

A:

Q: (8t/t-4)+(3/4-t)

A: Given:

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.