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- Find an estimate of the area enclosed by the curve y = x3 – 5, the x – axis and the lines x = 3 x = 4 and x = 6 using the trapezium rule with 3 strips.(Solved)
Find an estimate of the area enclosed by the curve y = x3 – 5, the x – axis and the lines x = 3 x = 4 and x = 6 using the trapezium rule with 3 strips.
Date posted: November 14, 2019. Answers (1)
- Find the equation of the normal to the curve 2x2 - 8y = 0 at the point (12,18).(Solved)
Find the equation of the normal to the curve 2x2 - 8y = 0 at the point (12,18).
Date posted: November 14, 2019. Answers (1)
- A salesman is paid a commission of 10% on all sales worth K£ 10,000 and below and a commission of 15% on sales above K£...(Solved)
A salesman is paid a commission of 10% on all sales worth K£ 10,000 and below and a commission of 15% on sales above K£ 10,000. In one month she got Ksh 50,000 as commission, calculate the total worth of goods in Ksh sold in that month.
Date posted: November 14, 2019. Answers (1)
- Solve the equation 643x-1 ÷ 16x+2 = 256x × 42x.(Solved)
Solve the equation 643x-1 ÷ 16x+2 = 256x × 42x.
Date posted: November 14, 2019. Answers (1)
- Three teachers James, John and Aggrey agreed contribute money to buy a plot. James contributed 1/5 of the total money, John contributed 2/5 of 3/5...(Solved)
Three teachers James, John and Aggrey agreed contribute money to buy a plot. James contributed 1/5 of the total money, John contributed 2/5 of 3/5 of the total money. Aggrey contributed 1/4 of what James had contributed. If the total sum contributed by Aggrey and John was Ksh.87, 000. Find the amount needed to buy the plot.
Date posted: November 14, 2019. Answers (1)
- Makau,Wanjiru and Kemboi start a race at 9.03 a.m in the same direction to run round a circular Course. Makau makes the circuit in 252...(Solved)
Makau,Wanjiru and Kemboi start a race at 9.03 a.m in the same direction to run round a circular Course. Makau makes the circuit in 252 seconds, Wanjiru in 308 seconds and Kemboi in 198 seconds. If they start from the same point, at what time will they next be all at the starting point together?
Date posted: November 14, 2019. Answers (1)
- Evaluate:(Solved)
Evaluate:
Date posted: November 14, 2019. Answers (1)
- The figure below is a cuboid ABCDEFGH such that AB = 8cm, BC = 6cm and CF 5cm.
Determine
(a) the length
(i) AC
(ii) AF
(b)...(Solved)
The figure below is a cuboid ABCDEFGH such that AB = 8cm, BC = 6cm and CF 5cm.
Determine
(a) the length
(i) AC
(ii) AF
(b) The angle AF makes with the plane ABCD.
(c) The angle AEFB makes with the base ABCD.
Date posted: November 14, 2019. Answers (1)
- (a) Draw the graph of the function
y = 10+3x – x2 for –2 = x = 5
(b) use of the trapezoidal rule with 5...(Solved)
(a) Draw the graph of the function
y = 10+3x – x2 for –2 ≤ x ≤ 5
(b) use of the trapezoidal rule with 5 stripes, find the area under the curve from x = -1 to x = 4.
(c) Find the actual area under the curve from x = -1 to x = 4.
(d) Find the percentage error introduced by the approximation.
Date posted: November 14, 2019. Answers (1)
- A bag contains 3 red, 5 white and 4 blue balls. Two balls are picked without replacement. Determine the probability of picking.
(a) 2 red balls...(Solved)
A bag contains 3 red, 5 white and 4 blue balls. Two balls are picked without replacement. Determine the probability of picking.
(a) 2 red balls
(b) Only one red ball
(c) At least a white ball
(d) Balls of same colour.
Date posted: November 14, 2019. Answers (1)
- (a) Complete the table for y = Sin x + 2 Cos x.
(b) Draw the graph of y = Sin x + 2 cos x....(Solved)
(a) Complete the table for y = Sin x + 2 Cos x.
(b) Draw the graph of y = Sin x + 2 cos x.
(c) Solve sin x + 2 cos x = 0 using the graph.
Date posted: November 14, 2019. Answers (1)
- Evaluate without using logarithm tables.
3 log10 2 + log10 750 – log10 6(Solved)
Evaluate without using logarithm tables.
3 log10 2 + log10 750 – log10 6
Date posted: November 13, 2019. Answers (1)
- On map of scale 1:25000 a forest has an area of 20cm2. What is the actual area in Km2.(Solved)
On map of scale 1:25000 a forest has an area of 20cm2. What is the actual area in Km2.
Date posted: November 13, 2019. Answers (1)
- Simplify(Solved)
Simplify
Date posted: November 13, 2019. Answers (1)
- The matrices A re such that AB = A + B Find a, b, and c.(Solved)
The matrices A 
re such that AB = A + B Find a, b, and c.
Date posted: November 13, 2019. Answers (1)
- Eighteen labourers dig a ditch 80m long in 5 days. How long will it take 24 labourers to dig a ditch 64 m long?(Solved)
Eighteen labourers dig a ditch 80m long in 5 days. How long will it take 24 labourers to dig a ditch 64 m long?
Date posted: November 13, 2019. Answers (1)
- Make b the subject of the formula.(Solved)
Make b the subject of the formula.
Date posted: November 13, 2019. Answers (1)
- Find cos x – Sin x, if tan x= ¾ and 90o = x = 360o.(Solved)
Find cos x – Sin x, if tan x= ¾ and 90o ≤ x ≤ 360o.
Date posted: November 13, 2019. Answers (1)
- Factorise x2 – y2, hence evaluate 32822 - 32722(Solved)
Factorise x2 – y2, hence evaluate 32822 - 32722
Date posted: November 13, 2019. Answers (1)
- (a) After t seconds, a particle moving along a straight line has a velocity of Vm/s and an
acceleration of (5 – 2t)m/s². the particles initial...(Solved)
(a) After t seconds, a particle moving along a straight line has a velocity of Vm/s and an
acceleration of (5 – 2t)m/s². the particles initial velocity is 2m/s.
(i) Express V in terms of t.
(ii) Determine the velocity of the particle at the beginning of the third second.
(b) Find the time taken by the particle to attain maximum velocity and the distance it covered to attain the maximum velocity.
Date posted: November 13, 2019. Answers (1)