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- Write the expression of (2 – 1/5 x)6 up to the term in x4. Hence use the expansion to find the value of (1.96)6 correct...(Solved)
Write the expression of (2 – 1/5 x)6 up to the term in x4. Hence use the expansion to find the value of (1.96)6 correct to 3 decimal places.
Date posted: September 20, 2019. Answers (1)
- The position vectors of points A and B are a = 2i + j – 8k and b = 3i +2j – 2k respectively....(Solved)
The position vectors of points A and B are a = 2i + j – 8k and b = 3i +2j – 2k respectively. Find the magnitude of AB.
Date posted: September 20, 2019. Answers (1)
- A quantity P varies partly as t and partly as the square of t.When t = 20, p = 45 , and when t =...(Solved)
A quantity P varies partly as t and partly as the square of t.When t = 20, p = 45 , and when t = 24 , p = 60.
a)Express p in terms of t.
b)Find p when t = 32.
Date posted: September 20, 2019. Answers (1)
- In the figure below ABC is a tangent to the circle at point B.Given that BE =6.9cm, FE=7.8cm,GE=4.1cm,DC=11.2cm and ED = xcm.Determine the length BC,give...(Solved)
In the figure below ABC is a tangent to the circle at point B.Given that BE =6.9cm, FE=7.8cm,GE=4.1cm,DC=11.2cm and ED = xcm.Determine the length BC,give your answer in four significant figures.
Date posted: September 20, 2019. Answers (1)
- Find the radius and the co-ordinates of the centre of the circle whose equation is
½ x2+ ½ y2 =3x – 5y – 9.(Solved)
Find the radius and the co-ordinates of the centre of the circle whose equation is
½ x2+ ½ y2 =3x – 5y – 9.
Date posted: September 20, 2019. Answers (1)
- Given that the matrix has no inverse, find x.(Solved)
Given that the matrix 
has no inverse, find x.
Date posted: September 20, 2019. Answers (1)
- The dimensions of a cuboid are 4.5cm by 3.5cm by 2cm.Find the percentage error in its volume giving your answer to 2 significant figure.(Solved)
The dimensions of a cuboid are 4.5cm by 3.5cm by 2cm.Find the percentage error in its volume giving your answer to 2 significant figure.
Date posted: September 20, 2019. Answers (1)
- Given that Find the values of a and b.(Solved)
Given that 
Find the values of a and b.
Date posted: September 20, 2019. Answers (1)
- Determine the amplitude, period and the phase angle of the wave represented by the equation.(Solved)
Determine the amplitude, period and the phase angle of the wave represented by the equation.
Date posted: September 20, 2019. Answers (1)
- Express the recurring decimal below as a fraction; 4.372 leaving your answer in the form of a/b where a and ...(Solved)
Express the recurring decimal below as a fraction; 4.372 leaving your answer in the form of a/b where a and b are integers.
Date posted: September 20, 2019. Answers (1)
- Make a the subject of the formula.(Solved)
Make a the subject of the formula.
Date posted: September 20, 2019. Answers (1)
- Use logarithms only to evaluate,
Correct to four significant figures.(Solved)
Use logarithms only to evaluate,
Correct to four significant figures.
Date posted: September 20, 2019. Answers (1)
- A stone is hung from a horizontal beam by two strings. The longer string makes an angle of 420 with the horizontal and is...(Solved)
A stone is hung from a horizontal beam by two strings. The longer string makes an angle of 420 with the horizontal and is 3.2m long. If the shorter string makes an angle of 600 with the horizontal, calculate its length.
Date posted: September 20, 2019. Answers (1)
- (a) Complete the table below for the function:
(b) Use the mid-ordinate rule with six ordinates to estimate the area enclosed by the curve...(Solved)
(a) Complete the table below for the function:
(b) Use the mid-ordinate rule with six ordinates to estimate the area enclosed by the curve of the functions y = x2 – 3x + 5, x – axis and the lines x = 2 and x = 8.
(c) Find the exact area of the region described in (b) above.
(d) If the mid-ordinates rule is used to estimate the area under the curve between x = 2 and x = 8, what will be the percentage error in the estimation?
Date posted: September 20, 2019. Answers (1)
- A farmer has at least 50 acres of land on which he plans to plant potatoes and cabbages.
Each acre of potatoes requires 6 men...(Solved)
A farmer has at least 50 acres of land on which he plans to plant potatoes and cabbages.
Each acre of potatoes requires 6 men and each acre of cabbages requires 2 men. The farmer has 240 men available and he must plant at least 10 acres of potatoes. The profit on potatoes is Ksh. 1000 per acre and on cabbages is Ksh. 1200 per acre. If he plants x acres of potatoes and y acres of cabbages:
(a)Write down three inequalities in x and y to describe this information.
(b)Represent these inequalities graphically.
Date posted: September 20, 2019. Answers (1)
- In the diagram M is the midpoint of XZ. OX = p + 2q. Oz = 7p – 2q and ZY = 3Kq + Mp...(Solved)
In the diagram M is the midpoint of XZ. OX = p + 2q. Oz = 7p – 2q and ZY = 3Kq + Mp where
k, and m are constants.
(a)Express the following in terms of p and q.
(i) XZ
(ii) XM
(iii) OM
(b)Express OY in terms of p, q, k and m.
(c)If y lies on OM produced with OY:OM = 3:2. Find the values of k and m.
Date posted: September 20, 2019. Answers (1)
- The table below shows monthly income tax rates.
A government employee earns a monthly salary of Ksh. 24,200 and is provided with a house at a...(Solved)
The table below shows monthly income tax rates.
A government employee earns a monthly salary of Ksh. 24,200 and is provided with a house at a nominal rent of Ksh. 700 per month.
(a)Calculate the employee’s taxable pay in K£.
(b)Calculate the total tax.
(c)The employee is entitled to a personal relief of Kshs. 1056 per month; and a monthly insurance relief at the rate of 15% of the premium paid. Calculate the net tax paid by the employee if the monthly premium amounts to Kshs. 2,400 for life insurance cover
d)Calculate his / her net pay that month.
Date posted: September 20, 2019. Answers (1)
- A blender mixes two brands of Juice A and B to obtain 70mls of the mixture worth Ksh. 165 per litre. If brand...(Solved)
A blender mixes two brands of Juice A and B to obtain 70mls of the mixture worth Ksh. 165 per litre. If brand A is valued at Ksh. 168 per 1 litre bottle and brand B at Ksh. 153 per 1 litre bottle, calculate the ratio in which the bands A and B are mixed.
Date posted: September 20, 2019. Answers (1)
- A stone is thrown vertically upwards from Point O. After t seconds the stone is S metres fromO. Given that S = 29.4t...(Solved)
A stone is thrown vertically upwards from Point O. After t seconds the stone is S metres from O. Given that S = 29.4t – 4.9t2, find the maximum height reached by the stone.
Date posted: September 20, 2019. Answers (1)
- Solve for x in the equation:
3cos2x + sin x + 1 = 0 For 0 < x < 360
(Solved)
Solve for x in the equation:
3cos2x + sin x + 1 = 0 For 0 < x < 360
Date posted: September 20, 2019. Answers (1)