So with this question I have completed everything except c.iv). I am not exactly sure which borders I should integrate against in order to get the answer.
View attachment 31810
So with this question I have completed everything except c.iv). I am not exactly sure which borders I should integrate against in order to get the answer.
the parts c(i)-(iii) are hints for (iv), ie., you follow the steps for finding total area to find total volume. to be more clear, you find the volume from 0 to 1, and show that the volumes from k to k+1 form a GP, and finally find the limiting sum to get the total volume.