Chapter 5.1: Areas and Distances

The following problems are listed in a slightly different order than usual,
because I really strongly recommend doing them in this particular order.

#2

QA: let f(x)=3+sqrt(x), and consider the interval x=0 to x=4.
i) sketch and compute L4; is L4 an underestimate of the area, or an overestimate?
ii) similarly for R4
iii) similarly for M4
Numerical answers (as if they were in the back of the book):
i) 16.14626437
ii) 18.14626437
iii) 17.38381918

#4

#3

#14
#15 WEP: think of this problem as an echo of the big underwater leaking oil well
("Deepwater Horizon") in the Gulf of Mexico in 2010.

#16 Be careful not to use just plain "delta x" in this problem, because there's
no single such value--the x gap changes from point to point.

#18
#22 WEP