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MATHEMATICS - 2006

(Two hours and a half)

Question 9

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33.

(a) A = {−2, −1 , 1, 2} and f = {(x, 1/x), x ∈ A}
(i) List the domain of f
 

34.

(ii) List the range of f
 

35.

(iii) Is f a function? Give reasons for your answer.
(Type in the answers separated by commas. Leave no spaces around the commas. Do not answer sub-question (iii).)
 

36.

(b) Solve the equation 2x − l/x = 7. Write your answer correct to two decimal places.
(Type in the answers separated by commas. Leave no spaces around the commas.)
 

37.

(c) A vessel in the form of an inverted cone is filled with water to the brim. Its height is 20 cm and diameter is 16.8 cm. Two equal solid cones are dropped in it so that they are fully submerged. As a result, one third of the water in the original cone overflows. What is the volume of each of the solid cones submerged?
 


 
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