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Unformatted text preview: Chapter 8 Practice Test B
1. 2. 3. 4. 5. 6. 7. 8. 9. Evaluate Evaluate Evaluate Evaluate Evaluate Evaluate
x x3 x cos x x2 e3 x 1 x6 e
x 4 x3 5 lim
x 0 lim
x 5x 3 x 2x
7x 2 x lim
x 2 3 2 x 2 lim
2 x2 3x tan x cot 2 x e2 x 10 Evaluate lim
x 0 2 x2 Determine which function grows faster as x Show your work. Order the functions 4 x, to fastest growing as x ,e x 2 or x5 2. growing ln x 3 , 10x , and e2 x from slowest . Show your work. 10. Show that the functions f1 x x5 , f2 x 2 x5 f3 x x5 ln x all grow at the same rate as x x2 , and . Show your work. 11. Let f x 6 x2 7 x and g x x3 4 x2 . Which of the following are true? Show your work. I. f og II. f Og III. g of IV. g Of 12. Evaluate
1 4 2 x 5
4 5 dx or state that it diverges. 13. Evaluate
0 cos 2 x sin 2 x dx or state that it diverges. 14. Find the area of the region in the first quadrant that lies under the graph of y x2 2 x e x.
2 15. Evaluate
0 4 sin x cos x 1 dx or state that it diverges. 16. Evaluate
0 x2 2x dx or state that it diverges. 17. Evaluate
0 log4 x x dx or state that it diverges. ...
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This note was uploaded on 08/29/2010 for the course MATH 44323 taught by Professor Anderson during the Spring '09 term at University of California, Berkeley.
- Spring '09