Calculus I
Announcements: Old
announcements
Review for the final:
2.2 #1, 2b, 15, 21, 31
2.3 #3, 11, 21, 23
2.4 #1, 7, 9, 11, 29, 33, 35, 37
2.5 # 15, 19
2.6 #3, 11, 16 (ans: a), 23
2.7 #1, 3, 11
3.1 #25, 42
Also #1-39(odd) on page 103
3.2 #21, 37, 40 ()
3.3 #9, 21, 42
3.4 #33, 35, 53, 63
3.5 #13, 20, (optional: #33 - use logarithmic diff.)
3.6 #25, 31, 33, 49, 53
3.7 #13, 18 (), 24 ()
3.8 #3, 15, 20 (x=-1, dy/dx=undefined), 21, 30 (a. yes at x=1 b. at x=-1
dx/dt=0 and
dy/dt is nonzero c. never), 32 (I-l2, II-l3).
3.9 # 5, 7, 8, know formula on p.150 and theorem on p.152
3.10 # 7, 11, 13, 15
Also #1-23(both odd and even, see class notes from Oct31) on page 162
$4.1 #14, 21, 27, 30, 32, 36
4.2 #12, 18, 21
4.3 #6 (a: 0 is a min value of h' (at x=-1),
b: since h'>=0, max of h is at right endpoint,
c: sketch h - increasing, with zero slope and P.I. at
x=-1), 8 (a:D=C, b:D=C/2), 13, 24 (abs.min at x=0,2, abs.max at x=4,
and 0<=y<=16)
4.4 #2 (a: C(q)=3+.4q, b: R(q)=.5q c: R(q)-C(q)=.1q-3, 11
4.5 #8 (45.8 ft, 65.5 ft, C=$4583), 10 (x=(2V)^(1/3), y=(V/4)^(1/3)),
16 (330 chairs, $27,225)
4.6 #1,5
4.7 #1, 3, 4, 5, 7, 9, 10 (yes, yes), 11, 30 (see class notes)
5.1 #2, 10 (15, 6 - using whole squares.)
5.2 #22 (LHS=.5ln1.5, RHS=.5ln1.5 + .5ln2 - overestimate) , 30 (a: 13, b:
-2, c: 11, d: 15), 8 (delta x = 3. LHS=606, RHS=480, Average (Trapesoidal
rule)= 545)
Also #1-25(both odd and even) on pages 216-217
2T, 4F, 6T, 8T, 10F, 12F
5.3 #6, 10, 13, 18
5.4 #2, 4, 10, 21
Good luck!
Test 4:
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Email Vera : rayevska@math.uni.edu
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