7- Online Grading Software fo X 5 1003W23a9.pdf X Course Hero x y! A heap of rubbish in the she x y! (2 marks) What is the rate c x y! A heap of rubbish in the sh X + V X - - C D @ File | C:/Users/billy/Downloads/1003W23a9.pdf E 1003W23a9.pdf 1 / 2 172% + (b) (2 marks) How fast is the radius of the base increasing when the pile is 4m high? 2. A heap of rubbish in the shape of a cube is being compacted into a smaller cube. The volume decreases at a rate of 2 m' per minute. (a) (2 marks) Find the rate of change of an edge of the cube when the volume is exactly 27 cubic meters. (b) (2 marks) What is the rate of change of the surface area of the cube at that instant? 2 3. (a) (2 marks) Determine the horizontal asymptotes (or show there are no hor- izontal asymptotes) of the function f (20 ) = In (1 + ex) 1+x (b) (2 marks) Evaluate the limit m3