-cscx + cotx Old road SF sec Land A New road S.F FIGURE Q1 Figure Q1 shows a piece of land A with length, width and a line of old road aligment from Sto F. The old road previously was built based on y=sin (3x-2)* equation. To reduce the travelling time, a new line of road have to be constructed as shown in Figure Q1. x +7y - sin = = 0 is an equation of accidents survey in road S-F, x=t-sintcost is speed limit equation for old road alignment and y =4cost is the speed limit equation for new road alignment Find the differentiation for area of land A. (5 marks) (6) Based on your understanding interpret the new road S-F line alignment equations. (4 marks) c) Construct the differentiation of accidents between new road against old road. (8 marks) d) Demonstrate the differentiation between the new speed limit and old speed limit for road S-F. (8 marks) -cscx + cotx Old road SF sec Land A New road S.F FIGURE Q1 Figure Q1 shows a piece of land A with length, width and a line of old road aligment from Sto F. The old road previously was built based on y=sin (3x-2)* equation. To reduce the travelling time, a new line of road have to be constructed as shown in Figure Q1. x +7y - sin = = 0 is an equation of accidents survey in road S-F, x=t-sintcost is speed limit equation for old road alignment and y =4cost is the speed limit equation for new road alignment Find the differentiation for area of land A. (5 marks) (6) Based on your understanding interpret the new road S-F line alignment equations. (4 marks) c) Construct the differentiation of accidents between new road against old road. (8 marks) d) Demonstrate the differentiation between the new speed limit and old speed limit for road S-F. (8 marks)