{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# 1b - MA 241 Test 1 Fall 2007 FormB-No calculators no cell...

This preview shows pages 1–5. Sign up to view the full content.

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

View Full Document

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.

Unformatted text preview: MA 241 Test 1 Fall 2007 FormB -No calculators, no cell phones, no PDAs -Show all work -Begin each problem on a new page (back or front)'inthe blue book. Number the problems in the book. ~Leave when ﬁnished m if you do not cross over someone on your row. Otherwise, wait for announcement to leave if ﬁnished about '10 minutes before the end of class. 1. Did you read the‘instructions? 2. Integrate (9pm) a. I 7 2x2 - 3x — 5 (9pts) 13. I t3£n(4t)dt (9pts) d. f——x—dx x—S 3. GiVen fo9- x4 dx and the 4 formulas from the tables: 2 1. fwjuz-a2 du=§wlu2-a2 —%-lnu+\/u2—,-a2|+c 4 II. fuzwluz -— azdu = £0142 — a2)'\/u2 -— a2 —-%ln u+ Vuz - a2|+c 2 III. fxia2 - uzdu = gwlaz - u2 + ﬁzz—sin‘I E + c a . 4 IV- f‘uzvaz — uzdu = %(2u2 — (Eh/a: - u2 + gig—sin‘I E + c a (3pts) a, Clearly state u; a, and du. (lpt) b. Which formula (I, II, III or IV) is used to integrate this problem. (4pts) c. Using the formula, integrate. .2 x 4. (8pts) Approximate {Eta—(ix using Trapezoidal Rule with n=4 subintervals. Do not simplify the arithmetic. Continue on next page 5. Improper Integrals dx l+x on (8pts) a. Determine if f1 2 is convergent or divergent. If it is convergent, evaluate. _ (Spts) b. If f (x) z g(x) 2 O and if I: f (x)dx diverges, what does the Comparison Theorem tell you about I: g(x)dx, if anything. 6. Given the region bounded by y = «E, x = 0, and y = 6 - 5:, set up the deﬁnite integral with all appropriate numbers but do not evaluate to ﬁnd (3pts) a. Make a good sketch and shade the bounded region (8pts) b. The area of the bounded region. c. The volumeof the solid generated by revolving the region about (8pts) 1'. y — axis (8pts) ii. y =10 7. (Spts) Find all e, 2 s c s 5, such that f (c)= the average value of f (x) = (x —73)2 ~5‘ #L /‘ 7 ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

1b - MA 241 Test 1 Fall 2007 FormB-No calculators no cell...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online