Final JEOPARDY
Subby Hubby (200)
Subby Hubby (100)
Subby Hubby (300)
1
Subby Hubby (400)
Part-y (100)
Part-y (200)
Part-y (300)
2
Part-y (400)
Highly Improper (100)
Express as a limit or sum of limits:
Highly Improper (200)
Express as a limit or sum of limits:
Highly Improper (300)
Test for convergence or divergence
3
Highly Improper (400)
DanceDance Revolution (100)
Test for convergence or divergence
Express the volume formed by rotating
the area under y = x for 0 ≤ x ≤ 1 around
the x-axis as an integral.
DanceDance Revolution (200)
DanceDance Revolution (300)
Write an integral equal to the volume of
the solid formed by rotating the area
under y = sin x for 0 ≤ x ≤ π around the
y-axis.
Express the volume formed by rotating
the area between y = x2 and y = x3
around the y-axis as an integral.
4
DanceDance Revolution (400)
Potpourri (100)
Write an integral whose value equals the
volume of the solid formed by rotating
the area under y = 1/x and to the right of
x = 1 around the x-axis.
Potpourri (200)
Potpourri (300)
Find the amount of work needed to pull
a 5 lb bucket up a 50 ft well.
5
Potpourri (400)
Evaluate
Geometric Gems (400)
Find the sum of the series or show that it
diverges:
Geometric Gems (200)
Find the sum of the series or show that it
diverges:
Geometric Gems (600)
Find the sum of the series or show that it
diverges:
6
Geometric Gems (800)
Find the sum of the series:
Serial Killers (200)
Determine whether the series converges
absolutely, conditionally, or diverges.
Serial Killers (400)
Serial Killers (600)
Determine whether the series converges
absolutely, conditionally, or diverges.
Determine whether the series converges
absolutely, conditionally, or diverges.
7
Serial Killers (800)
Super Powers (200)
Determine whether the series converges
absolutely, conditionally, or diverges.
Find the interval of convergence.
Super Powers (400)
Super Powers (600)
Find the interval of convergence.
Find the interval of convergence.
8
Super Powers (800)
Find the interval of convergence.
Taylor Made (400)
Find the Taylor series about x = 1:
Taylor Made (200)
Find the Maclaurin series for
Taylor Made (600)
Find the Maclaurin series for
9
Taylor Made (800)
Potpourri (200)
Find the Taylor series at x = 1:
Potpourri (400)
Potpourri (600)
Dr Rachel will put three graphs on the
board. Match them with their
Maclaurin series:
1. 2x - 3x2 + …
2. 1 + 3x + 4x2 + …
3. 2 + 6x - 5x2 + …
4. -5x - 4x2 + …
10
Potpourri (800)
How much work is done in filling a tank
with circular base of radius 1 ft and
height 6 ft with water? (Water weighs
62.5 lb/ft2.)
Final Jeopardy
For which values of x does the series
converge?
11