{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Final Fall 2007

# Final Fall 2007 - Math 122 Final SI 1 2 3 Name 4 5 6 7 8 9...

This preview shows pages 1–6. Sign up to view the full content.

Math 122 Final December 11, 2007 SI: Name 1 /20 2 /20 3 /20 4 /20 5 /20 6 /20 7 /20 8 /20 9 /20 10 /15 Style /5 Total /200 Directions: 1. No books, notes or whining about the weather. You may use a cal- culator to do routine arithmetic computations. You may not use your calculator to store notes or formulas. You may not share a calculator with anyone. 2. You should show your work, and explain how you arrived at your an- swers. A correct answer with no work shown (except on problems which are completely trivial) will receive no credit. If you are not sure whether you have written enough, please ask. 3. You may not make more than one attempt at a problem. If you make several attempts, you must indicate which one you want counted, or you will be penalized. 4. You may leave as soon as you are finished, but once you leave the exam, you may not make any changes to your exam. Have a Safe and Happy Break

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
1. (20 points) (a) Compute Z x 4 - 1 x dx Hint: Z u 2 - a 2 u = u 2 - a 2 - a sec - 1 u a + C (b) Compute Z 1 x ln x ((ln(ln x )) dx (c) Compute Z arcsin x dx . (d) Compute Z sin 2 x cot 2 x dx
2. (20 points) (a) Compute Z x x 2 + 3 x + 2 dx . (b) Compute Z 1 ( x 2 + 9) 3 / 2 dx (c) Compute Z 1 9 x 2 + 6 x + 5 dx . (d) Compute 3 Z 1 1 ( x - 2) 3 dx

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
3. (20 points) (a) For the differential equation dy dx = F ( x, y ), where F ( x, y ) is given below: x 0 1 2 3 4 0 1 0 -1 -1 0 1 -1 0 1 1 1 y 2 0 -1 0 -1 -1 3 1 1 0 -1 -1 4 0 0 1 0 1 i. Use Euler’s method with h = 1 and y (0) = 2 to approximate y (4). ii. Sketch the slope field at the given points. (b) Find the general solution for the following differential equations. i. dy dx = x 2 y 2 + x 2 + y 2 + 1 ii. dy dx - 2 xy = 2 xe 2 x 2
4. (20 points) Prof. Kenney is really hungry but he is on a diet. He decides to eat a hamburger/Diet Coke pur´ ee (Yum). His stomach originally contains 100 Liters of pure Diet Coke (no hamburgers). He drinks 10 Liters of hamburger/Diet Coke pur´ ee per minute that contains 4 hamburgers per Liter and the mixed solution leaves his stomach at the rate of 10 Liters per minute.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 14

Final Fall 2007 - Math 122 Final SI 1 2 3 Name 4 5 6 7 8 9...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online