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- Given that the curve y = x3– 3x2 find:(Solved)
Given that the curve y = x3– 3x2 find:
(a) The coordinate of the stationary points of the curve.
(b) Sketch the curve y = x3– 3x2
Date posted: May 8, 2019. Answers (1)
- AMREF Kenya decided to buy y bicycles for a total cost of 72,000 shillings. The seller agreed to offer a discount of 200
shillings per bicycle....(Solved)
AMREF Kenya decided to buy y bicycles for a total cost of 72,000 shillings. The seller agreed to offer a discount of 200
shillings per bicycle. AMFREF Kenya was able to buy 4 extra bicycles for the same amount of money.
(a) Write an expression in terms of y for the:
(i) original price of each bicycle.
(ii) price of each bicycle after the discount.
(b) Form an equation in y and hence determine the number of bicycles AMREF Kenya bought.
(c) Calculate the discount offered to AMREF Kenya as percentage.
Date posted: May 8, 2019. Answers (1)
- In a bicycle rally, cyclists are to follow routes VWXY. W is 250km from V on a bearing of N750E from V. X is on...(Solved)
In a bicycle rally, cyclists are to follow routes VWXY. W is 250km from V on a bearing of N750E from V. X is on a
bearing of S700E from V and 275km from W. Y is 300km on a bearing of N400E from X. Using a scale of 1cm to
represent 50km.
(a) Draw a diagram to show the relative positions of VWXY.
(b) Determine the distance in km
(i) VX
(ii) XY
(iii) WY
(c) (i) Determine the compass bearing of W from X
(ii) The compass bearing of Y from W
(iii) The compass bearing of X from Y
Date posted: May 8, 2019. Answers (1)
- Town A and B are 24km apart. Susan leaves town A at 10.00 a.m and cycles to town B at a steady speed if 12km/h....(Solved)
Town A and B are 24km apart. Susan leaves town A at 10.00 a.m and cycles to town B at a steady speed if 12km/h. She
rests for exactly one hour and then runs back to town A at 8km/h. Jane leaves town B at 11.45 a.m and rides straight to
town A, where reaches 5 minutes after Susan.
(a) At what time did Susan leave town B.
(b) At what time did Jane reach town A.
(c) How fast did Jane ride?.
(d) At what time did Susan overtake Jane?
Date posted: May 8, 2019. Answers (1)
- (a) Draw the curve y = x2, for 0 < x < 3.
Take 2cm to represent 1 unit x-axis and 1cm to represent 1 unit...(Solved)
(a) Draw the curve y = x2, for 0 < x < 3.
Take 2cm to represent 1 unit x-axis and 1cm to represent 1 unit on the y-axis.
(b) Use the graph to estimate the area bounded by the curve y = x2, the x-axis and the lines x = 0 and x = 3 using
trapezia. (correct 3 d.p)
Date posted: May 8, 2019. Answers (1)
- In triangle OAB, OA = a, OB = b and P lies on AB such that AP:PB = 3 : 5.(Solved)
In triangle OAB, OA = a, OB = b and P lies on AB such that AP:PB = 3 : 5.
(a) In terms of a and b the vectors.
(i) AB
(ii) AP
(iii) BP
(iv) OP
Date posted: May 8, 2019. Answers (1)
- The following are masses of 25 people taken in a clinic.(Solved)
The following are masses of 25 people taken in a clinic.
(a) Using a class width of 8 and starting with the lowest mass of the people. Make a frequency distribution table for the data.
(b) Calculate the median mass of the people.
(c) On the grid provided, draw a histogram to represent the information.
Date posted: May 8, 2019. Answers (1)
- The figure below a frustum of a solid cone of base radius 48cm and top radius 16cm. The height of the frustum is
21cm. (Take ??...(Solved)
The figure below a frustum of a solid cone of base radius 48cm and top radius 16cm. The height of the frustum is
21cm. (Take 𝜋 =22/7) calculate:
(a) The height of the solid cone.
(b) The volume of the solid frustum.
(c) The total surface area of the frustum.
Date posted: May 8, 2019. Answers (1)
- Determine the values of m for which the matrix below has no inverse(Solved)
Determine the values of m for which the matrix below has no inverse
Date posted: May 7, 2019. Answers (1)
- (a) Solve the following inequalities and hence illustrate your solution on a number line.
x – 12 = 4x – 15 < 13
(Solved)
(a) Solve the following inequalities and hence illustrate your solution on a number line.
x – 12 ≤ 4x – 15 < 13
(b) List the integral values that satisfy the combined inequality above.
Date posted: May 7, 2019. Answers (1)
- A regular polygon with 3x sides has interior angle 400 greater than the one with x sides. What is x?(Solved)
A regular polygon with 3x sides has interior angle 400 greater than the one with x sides. What is x?
Date posted: May 7, 2019. Answers (1)
- The image of P(0,2) under an enlargement with the factor 3 is P1(4,6). Find the centre of enlargement.(Solved)
The image of P(0,2) under an enlargement with the factor 3 is P1(4,6). Find the centre of enlargement.
Date posted: May 7, 2019. Answers (1)
- The angle subtended by the major arc at the centre of the circle O is twice the angle subtended by the minor arc at the
centre....(Solved)
The angle subtended by the major arc at the centre of the circle O is twice the angle subtended by the minor arc at the
centre. If the radius of the circle is 3.5cm, find the length of the minor arc. (Take 𝜋 =22/7)
Date posted: May 7, 2019. Answers (1)
- PQRS is a cyclic quadrilateral and O is the centre of the circle. angle QOS = 1500(Solved)
PQRS is a cyclic quadrilateral and O is the centre of the circle. angle QOS = 1500
While giving reasons find:
(a) angle QPS
(b) angle QRS
Date posted: May 7, 2019. Answers (1)
- A test is conducted for the purpose of employing a suitable typist with the following results.(Solved)
A test is conducted for the purpose of employing a suitable typist with the following results.
Calculate the mean typing speed.
Date posted: May 7, 2019. Answers (1)
- Find the equation of the normal to the curve y = x2 + 3x at the point P where x = 1.(Solved)
Find the equation of the normal to the curve y = x2 + 3x at the point P where x = 1.
Date posted: May 7, 2019. Answers (1)
- A mobile phone seller gets a commission of Shs. 250 on every mobile phone that he sells. In a given month, he got
33,000 shillings.(Solved)
A mobile phone seller gets a commission of Shs. 250 on every mobile phone that he sells. In a given month, he got
33,000 shillings.
(a) How many phones did he sell that month.
(b) If this commission is 2%. What is the sale price of each mobile phone?
Date posted: May 7, 2019. Answers (1)
- Simplify completely:(Solved)
Simplify completely:
Date posted: May 7, 2019. Answers (1)
- Using a ruler and a pair of compasses only, construct a trapezium ABCD with AB parallel to DC. AB = 10cm, BC = 5cm,
CD =...(Solved)
Using a ruler and a pair of compasses only, construct a trapezium ABCD with AB parallel to DC. AB = 10cm, BC = 5cm,
CD = 4cm and angle ABC = 450. Drop a perpendicular from C to meet AB to O. Measure AD and the altitude of the
trapezium.
Date posted: May 7, 2019. Answers (1)
- Points A(2,7) and B(-4,3) are points on a straight line. Find the equation of the perpendicular bisector of the line AB.(Solved)
Points A(2,7) and B(-4,3) are points on a straight line. Find the equation of the perpendicular bisector of the line AB.
Date posted: May 7, 2019. Answers (1)