- The figure below shows a sketch of a curve y = 3x² - 5x + 8 from x = -4 to x = +2
a) Use...(Solved)
The figure below shows a sketch of a curve y = 3x² - 5x + 8 from x = -4 to x = +2
a) Use the mid ordinate rule with 6 strips to estimate the area between the curve, the x-axis and line x=-4 and x = +2
b) Use integration to find the exact are in (a) above.
c) Calculate the 4s.f the percentage error in area estimated by the mid ordinate rule.
Date posted: November 7, 2019. Answers (1)
- Students in a form three class sat for a Chemistry exam which was marked out of 100 marks. The students were 100 in total. The...(Solved)
Students in a form three class sat for a Chemistry exam which was marked out of 100 marks. The students were 100 in total. The table below shows the distribution of students and marks scored.
Determine:
a) The quartile deviation.
b) The passmark if 35% of the students failed.
c) The minimum mark required if only five students got grade A.
Date posted: November 7, 2019. Answers (1)
- A number 0.7 is truncated to 3.sf. Calculate the percentage error due to the truncation.(Solved)
A number 0.7 is truncated to 3.sf. Calculate the percentage error due to the truncation.
Date posted: November 7, 2019. Answers (1)
- Find the terms of the series 2 + 6 + 10 + 14 + . . . . . . that will give a sum...(Solved)
Find the terms of the series 2 + 6 + 10 + 14 + . . . . . . that will give a sum of 800.
Date posted: November 7, 2019. Answers (1)
- The hire purchase price of a machine is sh 36750. If 10% is paid as deposit and the rest of the money is spread over...(Solved)
The hire purchase price of a machine is sh 36750. If 10% is paid as deposit and the rest of the money is spread over 15 equal monthly installments, find the amount payable every month.
Date posted: November 7, 2019. Answers (1)
- A variable N varies as the square of r and inversely as the square roots of P. What is in the percentage change in N...(Solved)
A variable N varies as the square of r and inversely as the square roots of P. What is in the percentage change in N if r is increased by 15% and P id deceased by 36%.
Date posted: November 7, 2019. Answers (1)
- Solve for the value of x if(Solved)
Solve for the value of x if
Date posted: November 7, 2019. Answers (1)
- Wanyama bought maize flour, sorghum and millet at sh 12, sh 15 and sh 18 per kg respectively. He mixes them in the ratio 1...(Solved)
Wanyama bought maize flour, sorghum and millet at sh 12, sh 15 and sh 18 per kg respectively. He mixes them in the ratio 1 : 2 : x respectively. After selling the mixture at sh 19.20 he made a profit of 20%. Find the value of x.
Date posted: November 7, 2019. Answers (1)
- Expand (1 + 1/2x)5 upto the term on x³, use the expansion to estimate the value of (1.05)5 correct to 4 significant figures.(Solved)
Expand (1 + 1/2x)5 upto the term on x³, use the expansion to estimate the value of (1.05)5 correct to 4 significant figures.
Date posted: November 7, 2019. Answers (1)
- Make P the subject of the formula.(Solved)
Make P the subject of the formula.
Date posted: November 7, 2019. Answers (1)
- Solve for y in the equation 2sin²y - 1 = Cos² y + sin y. For values of 0° = y = 360°.(Solved)
Solve for y in the equation 2sin²y - 1 = Cos² y + sin y. For values of 0° ≤ y ≤ 360°.
Date posted: November 7, 2019. Answers (1)
- Given the vectors a=3j + 2k and b=4i - 7k and that p = 3a - b. Find the value of |p| to 2 d.p.(Solved)
Given the vectors a=3j + 2k and b=4i - 7k and that p = 3a - b. Find the value of |p| to 2 d.p.
Date posted: November 7, 2019. Answers (1)
- The equation of a circle is x² + 4x + y² - 5 = 0. Find the centre and the radius of the circle.(Solved)
The equation of a circle is x² + 4x + y² - 5 = 0. Find the centre and the radius of the circle.
Date posted: November 7, 2019. Answers (1)
- Solve for the value of x in(Solved)
Solve for the value of x in
Date posted: November 7, 2019. Answers (1)
- The diagram below shows a circle centre O. AP is the tangent to the circle. Angle OPA is 23°. Find the length of the tangent.(Solved)
The diagram below shows a circle centre O. AP is the tangent to the circle. Angle OPA is 23°. Find the length of the tangent.
Date posted: November 7, 2019. Answers (1)
- Given that leaving your answer in form of v?? +v??(Solved)
Given that 
leaving your answer in form of √𝐴 +√𝐵
Date posted: November 7, 2019. Answers (1)
- In the figure below, P, Q, R and S are points on the circumference of the circle centre O. TP and TR are tangents to...(Solved)
In the figure below, P, Q, R and S are points on the circumference of the circle centre O. TP and TR are tangents to the circle at P and R respectively. POQ is a diameter of the circle and angle PQR = 64°
Giving reasons in each case, find the size of
a) b) c) d) e)
Date posted: November 6, 2019. Answers (1)
- A pirate boat sails from port A on a bearing of 050° at a speed of 112km/h, for 2½ hours to port B. From port...(Solved)
A pirate boat sails from port A on a bearing of 050° at a speed of 112km/h, for 2½ hours to port B. From port B it changes its course and travelled on a bearing of 170° at a speed of 75km/h for 2 2/3 hours toward part C. From C it travelled to port D. D is on a bearing of 130° and 160km from A.
a) Using a scale of 1cm to represent 40km, Draw a diagram showing the positions of the ports A, B, C and D.
b) Use your drawing to find.
i) The distance CD
ii) The bearing of C from D
c) A marine police patrol leaves port A to intercept the pirate boat at M as it moves from B to C in the shortest time possible.
i) How far from A will the two boats meet at M.
ii) If the boats meets after 2 hours, what is the speed of the marine police boat.
Date posted: November 6, 2019. Answers (1)
- A closed cylindrical metal tin has radius r and height h. The capacity of the tin is 250 p litres
a) Express in term of r.
i)...(Solved)
A closed cylindrical metal tin has radius r and height h. The capacity of the tin is 250 π litres
a) Express in term of r.
i) the height h of the tin.
ii) the total surface area of the tin.
b) i) Find the value of r for which the surface are of the metal used is to be minimum
ii) The minimum area of the metal used to make the cylinder.
Date posted: November 6, 2019. Answers (1)
- A truck left town X at 8.45am and traveled toward Y at an average speed of 50km/hr. A car left town X at 11.15am on...(Solved)
A truck left town X at 8.45am and traveled toward Y at an average speed of 50km/hr. A car left town X at 11.15am on the same day and traveled along the same road at an average speed of 90km/h. The distance between the two town is 420km.
a) Calculate the time of the day when the car overtook the truck.
b) The distance from Y when the car overtook the truck.
c) After overtaking the bus, both vehicles continued towards Y at their original speeds. Find how long the car had to wait at town Y before the truck arrived.
Date posted: November 6, 2019. Answers (1)