Q2 of 34 Page 178

In each of the following equations, take x as the given numbers and compute the numbers y.

y = x3 + x2 + x + 1, x = –1

y = x3 + x2 + x + 1, y = –1

putting y = -1,


y = (-1)3 + (-1)2-1 + 1


y = -1 + 1 -1 + 1


= 0


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2

In each of the following equations, take x as the given numbers and compute the numbers y.

y = x2 + 5x + 4, x = –2, x = –3

 2

In each of the following equations, take x as the given numbers and compute the numbers y.

y = x3 + 1, x = –1

 3

For a point starting at a point P and travelling along a straight line, time of travel is taken as t and the distance from P as s. The relation between s and t is found to be s = 12t – 2t2, there distances to the right are taken as positive numbers and to the left as negative numbers.

(i) Is the position of the point to the right or left of P, till 6 seconds?


(ii) Where is the position at 6 seconds?


(iii) After 6 seconds?


Here it is convenient to write 12t – 2t2 = 2t(6 – t).

 4

Natural numbers, their netiaves and zero are together called intergers. How many pairs of integers are there, satisfying the equation, x2 + y2 = 25 ?