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QUESTION 1

a. (i) Convert 300º =

radians

50

(ii) Convert – raidans =

degree

3

b. For a triangle shown above, find sine, coso,tane, sino, coso,tang?

6

8

o

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a. (1) Solve for x 125x+3 = 25%

(1 mark)

(ii) Rewrite the following by using the logarithmic rules log

1mark)

b The weight of a radioactive substance is given by R(t) = 100(0.998)’ grams where t is the number of years

Find how much radioactive substance was put aside initially)?

(ii) Find the weight after 100 years?

The height g meters of a ball hit vertically upwards t seconds after it is given by g(0) = 161 – 2².

a. How long does it take for the ball to reach its maximum height?

b. What is the maximum height of the ball?

c. How long does it take for the ball to hit the ground

QUESTION 3

a Letf RR and g R+R defined by f(x) = 2x – 3 and g(x) =

1

. Then find f ‘(-2), (fog)(-1) (2 marks)

X-4

b. Let f be the quadratic function defined by f(x) = (x-1)2-4. Then find the vertex, axis of symmetry, range,x and y intercepts and

graph of f(x)

(3 marks)

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The time in minutes for a sample of 30 students to get to school on a given day is summarized in the following frequency table and find

its mean

Frequency

2

3

5

Time Interval

5 – 10

10 – 15

15 – 20

20 – 25

25 – 30

30 – 35

35 – 40

Daauw

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Tags:

function

mathematics function

sin

cos

covert

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