??? - 2014 JUNE Q12
Oskar is designing a building. Fig. 12 shows his design for the end wall and the curve of the roof. The units
for x and y are metres.
(i) Use the trapezium rule with 5 strips to estimate the area of the end wall of the building. [4]
(ii) Oskar now uses the equation y = -0.001x3 - 0.025x2 + 0.6x + 9, for 0 ≤ x ≤ 15 to model the curve of the roof.
(A) Calculate the difference between the height of the roof when x = 12 given by this model and the data shown in Fig. 12. [2]
(B) Use integration to find the area of the end wall given by this model. [4]
(ii) Oskar now uses the equation y = -0.001x3 - 0.025x2 + 0.6x + 9, for 0 ≤ x ≤ 15 to model the curve of the roof.
(A) Calculate the difference between the height of the roof when x = 12 given by this model and the data shown in Fig. 12. [2]
(B) Use integration to find the area of the end wall given by this model. [4]