Unformatted text preview: Math 218
Kouba
Discussion Sheet 7 1.) The population of Tumbleweed, Texas, was 153 in 1850 and 587 in 1998. Assuming
exponential growth, a.) what will the population be in 2050 ?
b.) what was the population in 1800 ? 2.) Hay contains 10 times the allowable amount of iodine 31. The halflife of iodine 31 is
8 days. In how many days will the amount of iodine 31 reach a safe, allowable level ? 3.) A thin rod of length 3 ft. has variable density. Its density x ft. from its left end is Vac +4 kg. / ft SET UP, BUT DO NOT EVALUATE an integral which represents the
total mass of the rod. 4.) A flat square plate of side length 3 ft. has variable density. Its density x ft. from
its left edge is Va: + 4 kg./ft.2 SET UP, BUT DO NOT EVALUATE an integral which
represents the total mass of the plate. 5.) A solid three—dimensional object of length 3 ft. has variable density. Its density x
ft. from its left end is Va: + 4 kg. /ft.3 Its crosssectional area x ft. from its left end is (m2 + :1: + 5) ft.2 SET UP, BUT DO NOT EVALUATE an integral which represents the
total mass of the object. 6.) A flat circular plate of radius 3 ft. has variable density. Its density x ft. from its center
3 «a: + 4 kg./ft.2 SET UP, BUT DO NOT EVALUATE an integral which represents
the total mass of the plate. 7.) Snow has fallen in a rectangular region 40 miles
by 100 miles. The depth of snow :1: miles north N of the southern edge of the region is (3 + g) inches. W ‘ E ‘40
Find the total accumulation (volume in cubic inches) of snow in the region. 5 8.) Use any method to integrate the following. x3 .7: m+1
. d b. d d. d
a)/1+LL‘4 1: )/1+$4d:c C)/\/41:12—2: a: )/$+€_$ at THE FOLLOWING PROBLEM IS FOR RECREATIONAL PURPOSES ONLY. 9.) A camp cook wants to measure four ounces of vinegar out of a jug, but he has only an unmarked ﬁve—ounce container and an unmarked three—ounce container. How can he do it
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 Winter '09
 Kouba
 Calculus

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