Math 1550 Homework 7 Fall2005 1. Evaluate the limit. 1 x x 1 cos lim 2 x 1 x 0 x x 1 x ln x a. 2 cos x lim x ln x tan x
x x 0
2
c. d.
b.
10
x 100 2. A man wishes to plant a garden that is to have an area of 1440 sq. ft. If the design of the garde
Practice Test 5 Evaluate the integral ( y 2 y ) 2 dy 1. x 2 2x dx x 3 3x 2 4 4. 3 sec4 x tan x dx
0
x5
8x 9 x7
dx
2
cos x sec2 (sin x) dx
5x 6
2. 5.
1
(2 x 5)e x
1
dx
3. 6.
21
x x 5 dx
14
7. 8. Make a sketch of the region bounded by y = x