152& Calculus II — Sarah Edwards Name: kg >[
Test 1: Appendix F, 4.8, 5.1-5.5 _
This test is closed-book and closed—note. All work should be your own. Please SHOW YOUR
WORK. Unless otherwise stated, all answers should be EXACT — no decimal approximations.

152& Calculus ll — Sarah Edwards Name: % Z
Exam II: 5.6, 6.1-6.3, 6.5, net change
This test is closed-book and closed-note. All work should be your own. Please SHOW YOUR
WORK. Unless otherwise stated, all answers should be EXACT — no decimal approximation

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Math 152 — 6.2-6.3 Volumes of Revolution — Work in a group of 2-4 people and submit one worksheet
per group.
1 x *7 l
1. Consider the region bounded by y = Ex, y = 0am: Suppose we rotate this region about the
y-axis.
3. Sketch the region.
C3”)
b. Fin

Math 152 — 5.3—5.5
1. Evaluate the following integrals:
a~ fﬂi‘gﬁl-EDM U =' £140.)
a! ; i—o‘x
U ><
: 55M (MMM
:_ —COS(;UN 4’ C
:,—605(ﬁhfxll'+ci
b- I 1:23;)” (A : C 05‘ X
0% :. —$m(x\)J)<
:j—ldM
Hui
Z’Jl.‘a”.i(m> +C
-= (r {aw—‘(Cowﬂ + all}
C. f01x2(1+

Ciasstime _ _ _ _ Names: _ May _ _ _
Math 152 — 5.6 Integration by Parts
1. Letf(x) = are”.
a. Sketch f(x), including intercepts and max/min. Use your calculator as a guide if you
want. -x p x
,§ (K> 3 ' x g + e '— 0
,)( [
f + *1: = O
6" 5
i C’x + i) '3

Math 152 — 5.1 + appendix F worksheet. Work in groups of 2-4 people, submit one worksheet per group.
Make sure the FULL NAMES of everyone in the group are written on the worksheet.
1. Let f(x) = i. We want to find the area under this curve on the interval