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- a) Determine the x-intercept of the curve y = x3 - 9x(Solved)
a) Determine the x-intercept of the curve y = x3 - 9x
b) Use the trapezium rule with 6 strips to find areas bounded by the curve and the x-axis.
c) By using integration, find the exact area bounded by the curve and the x- axis.
d) Calculate the percentage error in using trapezium rule to obtain the area.
Date posted: May 7, 2019. Answers (1)
- A ship leaves port P and sails to port Q to Ron a bearing of 1600 and is 150km from Q. From R, the ship
returns...(Solved)
A ship leaves port P and sails to port Q to Ron a bearing of 1600 and is 150km from Q. From R, the ship
returns directly to P at a speed of 25km/hr.
a) Using a suitable scale, show the relative positions of P,Q and R.
b) i) Find the bearing of R from P
ii) Find the distance travelled from R and the time taken to arrive at the destination.
c) As island S is equidistant from P,Q and R. Show its relative position.
Date posted: May 7, 2019. Answers (1)
- a) Give the inequalities that define the unshaded region.(Solved)
a) Give the inequalities that define the unshaded region.
b) Find the exact area of the region.
Date posted: May 7, 2019. Answers (1)
- Two countries X and Y are 600km apart. A bus left country Y at 9.00am and an everage speed of 100km/hr. A
matatu started from country...(Solved)
Two countries X and Y are 600km apart. A bus left country Y at 9.00am and an everage speed of 100km/hr. A
matatu started from country X at 10.30am for country Y and travelled at an everage speed of 150km/hr. Find
a) How far country Y the Bus and the matatu met.
b) The time the bus and the matatu met.
c) The time at which the matatu arrived at Y
d) If the matatu started from Y at 10.30am, how far from X would be their overtaking point.
Date posted: May 7, 2019. Answers (1)
- The figure below is a triangle OAB, where (Solved)
The figure below is a triangle OAB, where ⃗𝑂⃗⃗⃗𝐴⃗ =a and ⃗𝑂⃗⃗⃗𝐵⃗ =b. A point R divides AB in the ratio 1:3 ⃗𝑂⃗⃗⃗𝑅⃗ and ⃗𝐴⃗⃗⃗𝑇⃗
intersect at D.
a) Find in terms of a and b
i) BT
ii) OR
iii) AT
b) If OD=hOR and AD=kAT, express OD in two ways hence determine the values of h and k.
Date posted: May 7, 2019. Answers (1)
- The intersecting circles centres S and R have radii 28 and 35 respectively. A common chord AB=38cm.(Solved)
The intersecting circles centres S and R have radii 28 and 35 respectively. A common chord AB=38cm.
a) Calculate
i) Angle ASB
ii) Angle ARB
b) Calculate the area of the shaded region.
Date posted: May 7, 2019. Answers (1)
- Christians who attended a church service on Sunday were grouped by age as shown in the table below.(Solved)
Christians who attended a church service on Sunday were grouped by age as shown in the table below.
Estimate the mean age
Date posted: May 7, 2019. Answers (1)
- Use logarithms tables to evaluate(Solved)
Use logarithms tables to evaluate
Date posted: May 7, 2019. Answers (1)
- Solve for x; if 9x x 27x - 1 = 1(Solved)
Solve for x; if 9x x 27x - 1 = 1
Date posted: May 7, 2019. Answers (1)
- Simplify the following expression completely.(Solved)
Simplify the following expression completely.
Date posted: May 7, 2019. Answers (1)
- Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?(Solved)
Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?
Date posted: May 7, 2019. Answers (1)
- Construct the image ??1??1??1 of the object PQR below though a rotation of -60 using centre C.(Solved)
Construct the image 𝑃1𝑄1𝑅1 of the object PQR below though a rotation of -60 using centre C.
Date posted: May 7, 2019. Answers (1)
- The figure below shows the sketch of a tea farm. The measurement are in metres.Fill the information given in a field book. Take PQ as...(Solved)
The figure below shows the sketch of a tea farm. The measurement are in metres.Fill the information given in a field book. Take PQ as the base line, 200m long.
Date posted: May 7, 2019. Answers (1)
- The marks scored by 10 students were follows 35, 34,32,33,28, 36,31,32,32 and 37. Calculate the standard
deviation of the marks.(Solved)
The marks scored by 10 students were follows 35, 34,32,33,28, 36,31,32,32 and 37. Calculate the standard
deviation of the marks.
Date posted: May 7, 2019. Answers (1)
- A Kenyan bank buys and sells foreign currencies as shown below.(Solved)
A Kenyan bank buys and sells foreign currencies as shown below.
A tourist arrived in Kenya from Britain with 126,000 UK sterling pounds. He converted the pounds into Kenyan
shillings. While in Kenya he spent 4/5of the money. He changed the balance to US dollars. Calculate to the nearest Dollar,
the amount he received.
Date posted: May 7, 2019. Answers (1)
- Mashillingi has 21 coins whose total value is Kshs 72. There are twice as many five shillings coins as there are ten
shillings coins. The rest...(Solved)
Mashillingi has 21 coins whose total value is Kshs 72. There are twice as many five shillings coins as there are ten
shillings coins. The rest are one shilling coins. Find the number of ten shilling coins that mashillingi has.
Date posted: May 7, 2019. Answers (1)
- Two similar containers have masses 256kgs and 128kgs respectively. If the surface of the smaller container has an area of 810 cm2. What is the area of...(Solved)
Two similar containers have masses 256kgs and 128kgs respectively. If the surface of the smaller container has
an area of 810 cm2. What is the area of the corresponding surface of the large container.
Date posted: May 7, 2019. Answers (1)
- Given that log of 7 = 0.8451 and log of 6 = 0.7782. Find log of 25.2(Solved)
Given that 𝑙𝑜𝑔7 = 0.8451 𝑎𝑛𝑑 𝑙𝑜𝑔6 = 0.7782. 𝑓𝑖𝑛𝑑 𝑙𝑜𝑔25.2
Date posted: May 7, 2019. Answers (1)
- The equation of a line is -3/5x + 3y = 6 Find(Solved)
The equation of a line is -3/5x + 3y = 6 Find
a) The gradient of the line
b) The equation of a line passing through the point (1,2) and is perpendicular to the given line
Date posted: May 7, 2019. Answers (1)
- Without using mathematical tables or calculators, evaluate.(Solved)
Without using mathematical tables or calculators, evaluate.
Date posted: May 7, 2019. Answers (1)