Test B Review, Calculator may be used, whichever is simpliest please show me thanks

Question

Answer 1

26)

Given function of time is

Formula for the average rate of change is

Substitute the limits : b = 1.8 , a = 1

Solution : Option (d) is the Correct Choice.

Answer 2

27)

Given function is f(x) = x³

Apply formulas : (a+b)³ = a³+b³+3a²b+3ab²  and  (a-b)³ = a³-b³-3a²b+3ab²

Solution : Option (a) is the Correct Choice.

Answer 3

(28)

The given system of equation in matrix form is

The above system of equations are represents the AX = B in matrix form.

The augmented matrix is

R₂ → 2R₂ + R₁

R₃ → 2R₃ - 5R₁

R₁ → 3R₁ + R₂

R₃ → R₃  + R₂

R₁ → R₁ + R₂

R₁ → R₁ / 6

R₂ → R₂ /3

R₃ → R₃ /(-6)

The solution set is ( 6 , 5 , - 3 ).

Solution : Option (c) is the Correct Choice.