**7.b.1 - 2016 Q2 ****Answers**

2) The curve

*C*has equation(a) Complete the table below with the value of y corresponding to x = 1 (1)

(b) Use the trapezium rule, with all the values of y in the completed table, to find an approximate value for... (3)

Figure 1 shows a sketch of the curve

The curve C meets the x-axis at the point A and meets the y -axis at the point B.

The region

(c) Use your answer to part (b) to find an approximate value for the area of

*C*with equation*y*= 8 – 2^{x–1}, between 0 and 4.The curve C meets the x-axis at the point A and meets the y -axis at the point B.

The region

*R*, shown shaded in Figure 1, is bounded by the curve*C*and the straight line through*A*and*B*.(c) Use your answer to part (b) to find an approximate value for the area of

*R*. (2)