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The set S consists of all integers from 1 to 2007 inclusive. For how many

elements n in S is f(n)=2n³+n²-n-2 over n²-2 an integer?


Check whether or not the sequence (n- 1/n) is convergent

Check whether the interval [7,10[ and ]3,6] are equivalent or not

Multiply 62 by 35, firstly by breaking down 35 in its terms (30 + 5) and secondly by breaking down 35 in its factors (5 x 7). Show all your steps.

(a) 62 x (30 + 5)

(b) 62 x (5 x 7)


Describe what you will do to help a learner who cannot position 3over4 correctly on a number line.


Show your calculation and explain how the base 60 number system is used to subtract 48 minutes from 2 hour 13 minutes


Show your calculation and explain how the base 60 number system is used to subtract 48 minutes from 2 hour 13 minutes


Show that

f(x)=(1/2)^(x+1) , x = 0, 1, 2, 3, 4, 5,...

is a valid PMF for a discrete random variable. Also find

out its CDF.


A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards the wall at the rate of 20 m/min, how fast is the top of the ladder moving up the wall when the top of the ladder is 6 meters from the ground?

A jar contains 9 red marbles numbered 1 to 9 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability that the marble is blue AND even-numbered.



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