Question

Directions: Write your complete solution in EACH QUESTION

 

 

1. Give an example of a matrix with dimension 3X2. Also find its transpose. (3 marks)

    

2. What is the value of x : (4 marks)

1. 

2.  3^{(x + 3)} =

    

1. Given: y = x² + 4x – 5

 Find the following (6 marks)

1. y-intercept

2. x-intercepts or the zeros of the functions or roots

3. graph of the function, given vertex is at (-2, -9)

    

1. Solve the system of linear equations (4 marks)

   2x + 5y = 3

         – x + 6y = 8           

    

2. Resolve into Partial Fraction      (4 marks)

3. Simplify:        (4 marks)

4. Given          find the inverse function.        (4 marks)

    

5. Write the names of curves, given their equations:    (5 marks)

1. x²/16 + y²/9 = 1

2. 3y = 2x + 5

3. (x - 5)² + (y + 6)² = 25

4. x²/16 – y²/25 = 1

5. y = 2x² + 10x + 25

1. Solve, write your answer in interval notation :     (4 marks)

2. Using synthetic division divide  by   (4 marks)

    

3. Write down the first five terms of the arithmetic progression with the first term 8 and common difference 7, then find the 17^th. (4 marks)

    

4. Write down the first five terms of the geometric progression with the first term 3 and common ratio 2, then find the 17^th. (4marks)