QUIZ 1
Math 1320-004
Friday, August 30
Name:
by writing rny’?4e I swear by the honor code
You have 15 minutes to complete this quiz. No notes, books or calculators are allowed.
1. (3
Set up (but do not evaluate) an integral representing the volume generated by
2 about the x-axis. What do the cross
rotating the region between the curves y = x and y = x
sections look like?
rç ç
t . (S. —
S
points)
)
7T
-N
2
(.
--
2. (3 points) Sketch the curve y = sinx with 0
integral representing the length of this curve.
x
r. Setup (but do not evaluate) an
L
c:
L
3. (4 points) We are going to use the idea of cylindrical shells to calculate the volume generated
, y = 0, x = 0, and x = 1 about the y-axis. We set
2
e_X
by rotating the region enclosed by y
integral
the
volume
as
up
2
2
dx
V= I 2rrxe —x
Jo
Evaluate this integral.
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1)
I
e
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