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- The figure below is a sketch of the curve y= x2-4
(a) Using he trapezoidal rule with six strips estimate the area bounded by the curve,...(Solved)
The figure below is a sketch of the curve y= x2-4
(a) Using he trapezoidal rule with six strips estimate the area bounded by the curve, the x-axis
and the lines x = -2 and x = 4.
(b) Calculate the area in (a) above by integration.
(c) Assuming the area found by integration is exact, calculate the percentage error in using the trapezoidal rule.
Date posted: August 26, 2019. Answers (1)
- Two aeroplanes P and Q leave airport at the same time, P flies on a bearing of 0750 at 800 km/h.While Q flies on a...(Solved)
Two aeroplanes P and Q leave airport at the same time, P flies on a bearing of 0750 at 800 km/h.While Q flies on a bearing of 1500 at 1000 km\h.
(a) Using a scale of 1 cm to represent 100km, draw a diagram to show the positions of the aeroplanes after 45 minutes.
(b) Use your scale drawing to determine
(i) the distance between the two aeroplanes after 45 minutes.
(ii) The bearing of P from Q.
(c) By further construction on the same diagram determine how far Q is to east of P.
Date posted: August 26, 2019. Answers (1)
- The distance between tours X and Y is 320km. A car and a lorry started from X at the same time
and travelled towards Y. The...(Solved)
The distance between tours X and Y is 320km. A car and a lorry started from X at the same time
and travelled towards Y. The car travelling at an average speed of 20km/h higher than that of the
lorry reached r 48 minutes earlier than the lorry.
(a) If the speed of the lorry is t km / h , find the value of t.
(b) If the two vehicles left town X at 8. 15 a.m, determine the time the ca arrived at town Y.
Date posted: August 26, 2019. Answers (1)
- A lamp shade is in the form of an open – ended frustum of a cone. Its bottom and top diametersare 14cm and 7cm respectively....(Solved)
A lamp shade is in the form of an open – ended frustum of a cone. Its bottom and top diameters are 14cm and 7cm respectively. Its height is 10cm.
(a) Find
(i) the height of the cone from which the frustum was cut.
(ii) the area of the curved surface of the lamp shade.(
)
(b) The material used for making the lamp shade is sold at sh. 800 per square metre. Find the cost of ten lampshades if a lampshade is sold at twice the cost of the material.
Date posted: August 26, 2019. Answers (1)
- The points A (2 ,-1) B (8,2) , C (7,5) and D are the vertices of a parallelogram ABCD. Use the
vector method to find:
(a) (i)...(Solved)
The points A (2 ,-1) B (8,2) , C (7,5) and D are the vertices of a parallelogram ABCD. Use the
vector method to find:
(a) (i) The coordinates of point D
(ii) the coordinates of E such that 
(iii) the coordinates of F such that 
(b) Show that points C, E and F are collinear.
Date posted: August 26, 2019. Answers (1)
- The frequency table below shows the masses in kg of 200 animals in a herd.(Solved)
The frequency table below shows the masses in kg of 200 animals in a herd.
(a) Find the size of the modal class.
(b) Calculate the mean mass.
(c) Draw a histogram to represent the above information.
Date posted: August 26, 2019. Answers (1)
- Mr. Kamau, a salesman is paid a commission of 6% on goods worth over sh. 600,000. In additionhe is paid a monthly salary of sh....(Solved)
Mr. Kamau, a salesman is paid a commission of 6% on goods worth over sh. 600,000. In addition he is paid a monthly salary of sh. 35,000.
(a) Calculate his total earnings in a month when his total sales was sh. 750,000.
(b) In the following month, the rate of commission was changed to x% but his monthly salary remained the same. If Mr. Kamau received a total monthly earning of sh. 100,000 for selling goods worth the same amount, find the value of x.
(c) If the rate of commission in (b) above was reduced in the ration 3:4 and his monthly increased by 10%, find the percentage change in his total monthly earnings for selling the same amount of goods.
Date posted: August 26, 2019. Answers (1)
- Given Sin 2x0 = Cos (3x-100), find the value of x.(Solved)
Given Sin 2x0 = Cos (3x-100), find the value of x.
Date posted: August 26, 2019. Answers (1)
- Find the reciprocal of 2.095 using the tables of reciprocals.Hence evaluate
without using mathematical tables or calculator.(Solved)
Find the reciprocal of 2.095 using the tables of reciprocals.Hence evaluate without using mathematical tables or calculator.
Date posted: August 26, 2019. Answers (1)
- On a market day, Amina bought 2 bags of potatoes and 3 bags of carrots at a total cost of sh.3,450. Wanja bought 3 bags...(Solved)
On a market day, Amina bought 2 bags of potatoes and 3 bags of carrots at a total cost of sh.3,450. Wanja bought 3 bags of potatoes and 2 bags of carrots but paid sh. 150 less than Amina. Find the cost of 1 bag of each item.
Date posted: August 26, 2019. Answers (1)
- A Japanese tourist visiting Kenya changed 1,307,000 Yen into Kenya shillings. While in Kenya hespent Ksh. 560,000 and converted the rest to sterling pounds as...(Solved)
A Japanese tourist visiting Kenya changed 1,307,000 Yen into Kenya shillings. While in Kenya he spent Ksh. 560,000 and converted the rest to sterling pounds as he headed back to the U.K.
Calculate the amount he got to the nearest pound if the bank buys and sells currency as shown
below.
Date posted: August 26, 2019. Answers (1)
- An open cylindrical concrete water tank has an external diameter of 1.2m and an external height of 1.5m. The thickness of the concrete is 8cm. Calculate...(Solved)
An open cylindrical concrete water tank has an external diameter of 1.2m and an external height of 1.5m. The thickness of the concrete is 8cm. Calculate the volume of the concrete making the tank. Give your answer in m3
Date posted: August 26, 2019. Answers (1)
- Find the range of values of x which satisfy the inequalities(Solved)
Find the range of values of x which satisfy the inequalities
Date posted: August 24, 2019. Answers (1)
- The equation of a line L1 is
Find the equation of a line perpendicular to L1 which passes through (1,2).(Solved)
The equation of a line L1 is
Find the equation of a line perpendicular to L1 which passes through (1,2).
Date posted: August 24, 2019. Answers (1)
-
The position vectors of P and Q with respect to the origin are
respectively.Point...(Solved)
The position vectors of P and Q with respect to the origin are respectively.Point T lies on PQ such that 3PT = PQ. Determine the coordinates of T.
Date posted: August 24, 2019. Answers (1)
- Find the value of x in the equation(Solved)
Find the value of x in the equation
Date posted: August 24, 2019. Answers (1)
- The triangle ABC below has dimensions as shown.(Solved)
The triangle ABC below has dimensions as shown.
(a) Calculate to 4 significant figures, the area of the triangle
(b) Find to one decimal place the length of the perpendicular from A to BC.
Date posted: August 24, 2019. Answers (1)
- Simplify fully the expression(Solved)
Simplify fully the expression:
Date posted: August 24, 2019. Answers (1)
- A solid metal pyramid has a square abase of side 3 cm and a mass of 54kg. Find the mass of asimilar pyramid whose base...(Solved)
A solid metal pyramid has a square abase of side 3 cm and a mass of 54kg. Find the mass of a similar pyramid whose base is a square of side 6 cm.
Date posted: August 24, 2019. Answers (1)
- The size of an interior angle of a regular polygon is 3 ½ times that of its exterior angle. Determine the sum of the interior angles...(Solved)
The size of an interior angle of a regular polygon is 3 ½ times that of its exterior angle. Determine the sum of the interior angles of this polygon.
Date posted: August 24, 2019. Answers (1)