**Unformatted text preview: **09/28/2000 THU 09:19 FAX 6434330 MOFFITT LIBRARY .001 Mathematics 18 Professor K. A. Ribet Spring 1990 First Midterm Exam—60 points COSSi-l
1 't . F' dL' —.
a (5 pom 3) in fig} cos4t—l 41/ m 2
1b (’7 points). Calculate] —1:de$.
2 bib?) 51': d1“. 2a (6' points). Find/ 6
2b (6' points). What approximation to f (:02 — 2:2: — 6) (in: is furnished by Simpson’s Rule,
0 when the interval [0, 6] is divided into 6 equal pieces?
[In problems 3—4, (:10 not evaluate the integralsl] 3 (3 points). The region between y = sinx and the :c—axis, from a: 2 0 to :c = W/Z, is
covered with a thin wafer weighing 20 pounds per unit area. Express as a deﬁnite integral
the wafer’s moment of inertia about the line y z *3. 4 (6 points). A thin uniform wire weighing 300 tons is ﬁtted over that part of the curve
y = 3:3 which runs from a: = 1 to a: = 2. Express in terms of deﬁnite integrals the :c- and
y-coordinates of the centroid of the wire. . , t — 1
5a (5 paints). Evaluate E11113. W.
, _ 332 + 2.7: + 4 A Br: + 0
5b (Spoﬁntsj- FindA,B,a:I1dC: m" = 32“]. +$2—_m-
1/2 8 — 16:1:
6 ‘ . — " .
(.9 pomts) Calculate [3 8m2 i 4:0 7|, 1 dd: ...

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