(a) Draw the curve y = x², for 0 < x < 3. Take 2cm to represent 1 unit x-axis and 1cm to represent 1 unit...

(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)

Answers

sharon kalunda answered the question on May 8, 2019 at 05:52

Next: What has facilitated the growth of counseling psychology?
Previous: Give the relationship between Psychology and Counseling.

View More Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

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)
Use reciprocal and square tables to evaluate to 4 significant figures the expression:(Solved)
Use reciprocal and square tables to evaluate to 4 significant figures the expression:

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)
a) Complete the table below for the equation y = 2x³ + 5x³ - x - 6(Solved)
a) Complete the table below for the equation 𝑦 = 2𝑥³ + 5𝑥³ − 𝑥 − 6

b) On the grid provided draw the graph 𝑦 = 2𝑥² + 5𝑥² − 𝑥 − 6 𝑓𝑜𝑟 − 3.5 ≤ 𝑥 ≤ 2. Use 2cm to represent 1 unit
on the x-axis and 1cm to represent 5 units on the y-axis.
c) By drawing a suitable line use the graph in (b) to solve the equation.2𝑥³ + 5𝑥² − 3𝑥 − 4 = 0

Date posted: May 7, 2019. Answers (1)
a) Copy and complete the given table below to 2 decimal places.(Solved)
a) Copy and complete the given table below to 2 decimal places.

b) Using the same axes plot the curves y=Sin(x+30⁰) and y=Cos (x-15)
Taking 1 cm represented 30⁰ and x-axis and 1cm represented 0.25cm on the y axis.
c) Using the graph state the amplitude of y=Cos (x-15⁰)
d) Using the graph solve the equation: Sin (x+30⁰)-Cos (x-15⁰)=0

Date posted: May 7, 2019. Answers (1)
A ship leaves an Island A (60⁰N, 45 ⁰E) and sails due west for 120hours to another island B.The average speed of the ship is...(Solved)
A ship leaves an Island A (60⁰N, 45 ⁰E) and sails due west for 120hours to another island B.The average speed of the ship is 27 knots.
a) Find the position of the island B
b) Another island C is south of island B and lies on latitude 55⁰N. Find the distance between Islands B and C in
nautical miles.
c) The ship leaves island B when the time at Island A is 12.30pm. On Monday and sailed to Island C. If the ship
increases its speed by 20% between B and C find out the time of arrival at island C to the nearest minutes and the
day.

Date posted: May 7, 2019. Answers (1)