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a)Complete the table below to 2 d.p.
b)Draw the graphs of y = cos x and y = sin x – cos x, for 0 =...
(Solved)
a)Complete the table below to 2 d.p.
b)Draw the graphs of y = cos x and y = sin x – cos x, for 0 ≤ x ≤ 180
c) Using your graphs:
i) Solve the equation ½ Sin x = Cos x.
ii) State the range of values of x in 0 ≤ x ≤ 180, for which 2 Cos x ≤ Sin x.
iii) Solve the equation
Sin x – 1.25 = Cos x
Date posted:
October 12, 2019
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Answers (1)
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The velocity, v m/s of a particle after t seconds is given by v = t2 – 2t + 4.
a)i) Using the mid- coordinate rule...
(Solved)
The velocity, v m/s of a particle after t seconds is given by v = t2 – 2t + 4.
a)i) Using the mid- coordinate rule with six strips, estimate the distance covered by the particle between t = 1 and t =13 seconds.
ii) Find the exact distance the particle covered between t =1 and t = 13 seconds.
b)Calculate the percentage error arising from the estimate in (a) above.
Date posted:
October 12, 2019
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Answers (1)
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A and B are two points on the latitude 500N. The two points lie on the longitudes 300E and 1500W respectively
a)Calculate:
i) The distance...
(Solved)
A and B are two points on the latitude 500N. The two points lie on the longitudes 300E and 1500W respectively
a)Calculate:
i) The distance in km, from A to B along the parallel of latitude. (take π= 22/7, R = 6370km)
ii) The shortest distance from A to B along the great circle, in nautical miles.
b)An aircraft takes 54 hours to fly between the two points, along the great circle. Calculate its speed in km/h.( take 1nm = 1.853km)
Date posted:
October 12, 2019
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Answers (1)
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a)Complete the table below for the function y = x3 + 2x2 – 3x – 4, to 1 d.p
b)Draw the graph of y = x3...
(Solved)
a)Complete the table below for the function y = x3 + 2x2 – 3x – 4, to 1 d.p
b)Draw the graph of y = x3 + 2x2 – 3x – 4, using the values in the completed table.
c) Using your graph:
i) Solve the equation
x3 + 2x2 – 3x = 4.
ii) Estimate the coordinates of the turning points of the curve.
Date posted:
October 12, 2019
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Answers (1)
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A trapezium ABCD is such that the two parallel sides are of length 18cm and 26cm. AB = 9cm and angle ABC = 450. Calculate...
(Solved)
A trapezium ABCD is such that the two parallel sides are of length 18cm and 26cm. AB = 9cm and angle ABC = 450. Calculate the area of the trapezium to 1 decimal place.
Date posted:
October 12, 2019
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Answers (1)
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The end points of a diameter of a circle are P (-3, -9) and Q (7, 15). Determine the equation of the circle in the...
(Solved)
The end points of a diameter of a circle are P (-3, -9) and Q (7, 15). Determine the equation of the circle in the form x2+y2+ax+by=c where a, b and c are constants.
Date posted:
October 12, 2019
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Answers (1)
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Find the equation of the normal to the curve y = 2x3 – 3x2 + 6, when x = 2.
(Solved)
Find the equation of the normal to the curve y = 2x3 – 3x2 + 6, when x = 2.
Date posted:
October 12, 2019
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Answers (1)
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The sixth term of a geometric progression is 16 and the third term is 2. Determine the common ratio and the first term.
(Solved)
The sixth term of a geometric progression is 16 and the third term is 2. Determine the common ratio and the first term.
Date posted:
October 12, 2019
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Answers (1)
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Point R divides line PQ externally in the ratio 4:3. The position vectors of P and Q are 2i + j – 3k and i...
(Solved)
Point R divides line PQ externally in the ratio 4:3. The position vectors of P and Q are 2i + j – 3k and i – 2j + k respectively. Find the position vector, of R.
Date posted:
October 12, 2019
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Answers (1)
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A businessman mixes sugar costing sh. 90 per kg with another type which costs sh.120 per kg. Find the ratio in which the two types...
(Solved)
A businessman mixes sugar costing sh. 90 per kg with another type which costs sh.120 per kg. Find the ratio in which the two types should be mixed so that if a kilogram of the mixture is sold at ksh. 147 a profit of 50% is realized.
Date posted:
October 12, 2019
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Answers (1)
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The probability of a team losing a game is 1/5. The team plays the game until it wins. Find the probability that the team wins...
(Solved)
The probability of a team losing a game is 1/5. The team plays the game until it wins. Find the probability that the team wins in the fourth round.
Date posted:
October 12, 2019
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Answers (1)
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Find the area of the shaded region shown in the figure below.
(Solved)
Find the area of the shaded region shown in the figure below.
Date posted:
October 12, 2019
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Answers (1)
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The figure below represents a hollow cylinder. The internal and external radii are estimated to be 6cm and 8cm respectively, to the nearest whole number....
(Solved)
The figure below represents a hollow cylinder. The internal and external radii are estimated to be 6cm and 8cm respectively, to the nearest whole number. The height of the cylinder is exactly 14cm.
a)Determine the exact values for the internal and external radii which will give maximum volume of the material.
b)Calculate the maximum possible volume of the material
Date posted:
October 12, 2019
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Answers (1)
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The current price of a vehicle is ksh. 500,000. The value of the vehicle depreciates at a rate of 15% p.a for the first two...
(Solved)
The current price of a vehicle is ksh. 500,000. The value of the vehicle depreciates at a rate of 15% p.a for the first two years and at 20% p.a thereafter. Find the number of years it will take for its value to reduce to ksh. 147,968.
Date posted:
October 12, 2019
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Answers (1)
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Make C the subject of the formula.
(Solved)
Make C the subject of the formula.
Date posted:
October 12, 2019
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Answers (1)
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A rectangle whose area is 15cm2 is transformed by a matrix .Determine the area of its image under the matrix of transformation.
(Solved)
A rectangle whose area is 15cm2 is transformed by a matrix 
.Determine the area of its image under the matrix of transformation.
Date posted:
October 12, 2019
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Answers (1)
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If find the value of a + b + c.
(Solved)
If 
find the value of a + b + c.
Date posted:
October 12, 2019
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Answers (1)
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The figure below shows a triangular prism ABCDEF
a)Draw the net of the prism
b)A fly walks from A to D along the diagonals of rectangular...
(Solved)
The figure below shows a triangular prism ABCDEF
a)Draw the net of the prism
b)A fly walks from A to D along the diagonals of rectangular faces:
i)On your net show the locus of the fly.
ii)Measure the distance covered by the fly, one way.
iii)The fly takes 15 seconds to reach D one way. Calculate its’ speed in, km/h.
Date posted:
October 12, 2019
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Answers (1)
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The figure below shows a circle centre O and a cyclic quadrilateral ABCD. Angle ACB =400 and angle DAC =200 AOC is a straight line.
Giving...
(Solved)
The figure below shows a circle centre O and a cyclic quadrilateral ABCD. Angle ACB =400 and angle DAC =200 AOC is a straight line.
Giving reasons find the size of:
i)ABD
ii)BAC
iii)ACD
iv)CBD
v)Reflex ADC
Date posted:
October 12, 2019
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Answers (1)
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Four points P, Q, R and S lie on the same plane. Point P is 42km due south west of R. Q is 15km on...
(Solved)
Four points P, Q, R and S lie on the same plane. Point P is 42km due south west of R. Q is 15km on a bearing of S60E from R. Point D is equidistant from P and Q.
a)Using a scale of 1cm represents 10km, construct a diagram showing the positions of P, Q, R and S
b)Using your diagram determine:
i)Distance between P and Q
ii)Bearing of S from P
iii)Distance from S to R
Date posted:
October 12, 2019
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Answers (1)