Question

1) Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are shown in the table.

t (hr)	r(t) (L/h)
0	10.4
2	10.1
4	9.8
6	9.6
8	9.3
10	9

Find lower and upper estimates for the total amount of liquid that leaked out.

lower estimate =  liters

upper estimate =

2) When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a space ship is launched, the following velocity data is obtained. Use these data to estimate the height above the Earth's surface at 128 seconds.

t (sec)	v (ft/s)
0	0
12	264
17	374
23	506
53	1166
60	1320
71	1837
128	4516

lower estimate of distance traveled =  miles

upper estimate of distance traveled =  miles

3) Find ∫x−1/x^2dx

Answer 1

(Upper Slaohd fr. 'n he edį,-.ut. ㆆechangles canned CamScanne CS 너+1-1+31+16+3.3 lo upber easimakan