11a. Using the substitution U = 5 - x\(^2\) evaluate \(\int _1^2 \frac{\text{x}}{\sqrt{5 - x^2}}\) dx b. If y = px\(^2\) + qx, \(\frac{\text{dy}}{\text{dx}}...

6. The table shows the distribution of the ages of a group of people in a village. Ages(in years) 15-18 19-22 23-26 27-30 31-34 35-38 Frequency 40 33 25 10 8...

3. If (x + 2) and (x -1) are factors of f(x) = 6x\(^4\) + mx\(^3\) - 13x\(^2\) + n x + 14, find the: a. value of m and n. Leave your answer in this format 'm...

8. An object is projected vertically upward with a velocity of 80 ms\(^{-1}\). Find the; a. Maximum height reached (Leave your answer in whole number 'abc.')...

2. If 2\(^{2x -2y}\) = 32 and log\(_y\) x = 2, find the values of x and y Leave your answer in this format "+ x,- y"

SECTION A 1. The sum of the 2nd and 5th terms of an arithmetic progression (A.P) is 42. If the difference between the 6th and 3rd terms is 12, find: a. the c...

7a. A body of mass 5 kg resting on a smooth horizontal plane is acted upon by forces 6i + 2j, 5i + 4j, and 4i − j. Calculate: the velocity of the body b. the...

5a. There are 6 points in a plane. How many triangles can be formed with the points? b. A family of 6 is to be seated in a row. In how many ways can this be ...

4. Find the equation of a tangent to the curve y = \(\frac{x - 1}{2x + 1}\), x \(\pm\) \(\frac{-1}{2}\) at the point(1, 0) Leave your answer in this format: ...