September 27, 2007 Welcome to the cavernous pit of math!
-
Upload
hector-butler -
Category
Documents
-
view
216 -
download
0
Transcript of September 27, 2007 Welcome to the cavernous pit of math!
![Page 1: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/1.jpg)
September 27, 2007
Welcome to the cavernous pit of math!
![Page 2: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/2.jpg)
Quiz 2 ReviewQuiz 2 Review
![Page 3: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/3.jpg)
JEOPARDY
Sub-a-Dub-Dub
Par-tay
Revolution of the
Working Classes
Potpourri
100 100 100 100200 200 200 200300 300 300 300400 400 400 400500 500 500 500
![Page 4: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/4.jpg)
Sub-a-Dub-Dub (100)
€
dx
x ln x∫
![Page 5: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/5.jpg)
Sub-a-Dub-Dub (200)
€
(1+ x )9
xdx∫
![Page 6: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/6.jpg)
DAILY DOUBLE
![Page 7: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/7.jpg)
Sub-a-Dub-Dub (300)
€
sin3 θ dθ∫
![Page 8: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/8.jpg)
Sub-a-Dub-Dub (400)
€
1
25 + x 2dx∫
![Page 9: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/9.jpg)
Sub-a-Dub-Dub (500)
€
tan y sec3 y∫ dy
![Page 10: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/10.jpg)
Par-tay (100)
€
(x + 2) e2x +1 dx∫
![Page 11: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/11.jpg)
Par-tay (200)
€
arctan(1/ x)dx∫
![Page 12: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/12.jpg)
Par-tay (300)
€
x 2 sin x dx∫
![Page 13: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/13.jpg)
Par-tay (400)
€
arcsin x dx∫
![Page 14: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/14.jpg)
Par-tay (500)
€
e x dx∫
![Page 15: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/15.jpg)
Revolution of the Working Classes (100)
Find an integral equal to the volume formed by rotating the area in the first quadrant under x + y = 1 around the line x = -2.
![Page 16: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/16.jpg)
Revolution of the Working Classes (200)
Find the amount of work needed to pulla 5 lb bucket up a 50 ft well.
![Page 17: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/17.jpg)
Revolution of the Working Classes (300)
Write an integral equal to the volume of the solid formed by rotating the area under y = sin x for 0 ≤ x ≤ around the y-axis.
![Page 18: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/18.jpg)
Revolution of the Working Classes (400)
Express the volume formed by rotating the area between y = x2 and y = x3 around the y-axis as an integral.
![Page 19: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/19.jpg)
DAILY DOUBLE
![Page 20: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/20.jpg)
Revolution of the Working Classes (500)
Set up an integral equal to the amount of work needed to pump all the water out of a tank that is a circular cylinder with base radius 3 ft and height 8 ft, if the tank is half full of water. (Water weighs 62.5 lb/ft2.)
![Page 21: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/21.jpg)
Potpourri (100)
€
x + 2x 2
xdx∫
![Page 22: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/22.jpg)
Potpourri (200)
€
cos x dx∫
![Page 23: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/23.jpg)
Potpourri (300)
€
x
x 2 −16dx∫
![Page 24: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/24.jpg)
Potpourri (400)
If
then find an expression for tan in terms of x.
€
x = 3sinθ
![Page 25: September 27, 2007 Welcome to the cavernous pit of math!](https://reader035.fdocuments.net/reader035/viewer/2022062518/56649f575503460f94c7ca28/html5/thumbnails/25.jpg)
Potpourri (500)
€
e−x 2
sin x dx−1
1
∫