Mathematics AI: TRIGONOMETRY Topical Past Paper Questions

[Maximum mark: 18] Zheng models the height of a section of a rollercoaster. She uses the function $$ f(x)=0.001x^{3}-0.12x^{2}+4.05x+3,\mathrm{f o r}0\leq x\leq60, $$ where x is the horizontal distance from the left-hand end of the section and $ f(x) $ is the vertical height. Dis…

## [Maximum mark: 16] A skip is a container used to carry garbage away from a construction site. For safety reasons the garbage must not extend beyond the top of the skip. The maximum volume of garbage to be removed is therefore equal to the volume of the skip. A particular desig…

[Maximum mark: 15] Madhu is designing a jogging track for the campus of her school. The following diagram shows an incomplete portion of the track. Madhu wants to design the track such that the inner edge is a smooth curve from point A to point B, and the other edge is a smooth c…