P66786A
© Pearson Education Ltd.
, 1 The table below shows corresponding values of x and y for
The values of y are given to 4 significant figures.
x 0.5 1 1.5 2 2.5
y 0.5774 0.7071 0.7746 0.8165 0.8452
(a) Use the trapezium rule, with all the values of y in the table, to find an estimate for
giving your answer to 3 significant figures.
(3)
(b) Using your answer to part (a), deduce an estimate for
(1)
Given that
to 4 significant figures
(c) comment on the accuracy of your answer to part (b).
(1)
(Total for Question 1 is 5 marks)
___________________________________________________________________________
2. Relative to a fixed origin, points P, Q and R have position vectors p, q and r respectively.
Given that
● P, Q and R lie on a straight line
● Q lies one third of the way from P to R
show that
(3)
(Total for Question 2 is 3 marks)
___________________________________________________________________________
P66786A
© Pearson Education Ltd.
© Pearson Education Ltd.
, 1 The table below shows corresponding values of x and y for
The values of y are given to 4 significant figures.
x 0.5 1 1.5 2 2.5
y 0.5774 0.7071 0.7746 0.8165 0.8452
(a) Use the trapezium rule, with all the values of y in the table, to find an estimate for
giving your answer to 3 significant figures.
(3)
(b) Using your answer to part (a), deduce an estimate for
(1)
Given that
to 4 significant figures
(c) comment on the accuracy of your answer to part (b).
(1)
(Total for Question 1 is 5 marks)
___________________________________________________________________________
2. Relative to a fixed origin, points P, Q and R have position vectors p, q and r respectively.
Given that
● P, Q and R lie on a straight line
● Q lies one third of the way from P to R
show that
(3)
(Total for Question 2 is 3 marks)
___________________________________________________________________________
P66786A
© Pearson Education Ltd.