MATH 1241 - Spring 20xx- Test 4 NAME: _________________________
Sections 4.5, 5.2, 5.3, 6.1, 6.2, 6.5, 6.6
1. Using your computer, approximate the area of the region between the graph of the
function
xxxf 2)ln()(
and the x-axis on the interval from x=1.19 to x=3.59
using the right endpoint rule with 12 rectangles.
2. The number of medical school students (in thousands) from 1982 through 1992,
reported each fall semester, can be modeled by
1.7008.24.0021.0)(
23
ttttm
thousand students where t represents the
number of years since 1980.
A) Find any relative (local) maximum or minimum points on the model between 1982
and 1992 using calculus. Justify your answer by describing all steps that you use to
get your answers.
B) Although m(t) is continuous, it must be discretely interpreted because only integer-
valued inputs make sense in the context of this problem. With this restriction in
mind, determine the year in which the number of medical students was greatest and
when it was the least from 1982 to 1992. Give the number of medical students in each
case. [3 points]
