{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

165E3-F2004

# 165E3-F2004 - ‘ MA 165'EXAM 3 ‘ Fall 2004 l Page 1/4...

This preview shows pages 1–4. 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 165 ' 'EXAM 3 ‘ Fall 2004 l Page 1/4 ‘_NAME . STUDENT ID ' RECITATION’ INSTRUCTOR RECITATION TIME DIRECTIONS 1. 9° (8) 1. (4) 2. (8) 3. Write your name, student ID ”number, recitation instructor’s name and recitation time in the Space provided above. Also write your name at the top of pages 2, 3 and 4. The test has four (4) pages, including this one. Write your answers in the boxes provided. You must show sufﬁcient work to justify all answers unless otherwise stated in the problem. Correct answers with inconsistent work may not be given credit. ' Credit for each problem is given in parentheses in the left hand margin. No books, notes or calculators may be used on this exam. Find the absolute maximum and absolute minimum values of the function f (:12) = i on the interval [1,2]. abs. max. abs. min. 2/3 does not satisfy the hypotheses of the Mean Explain why the function f (x) = :1: Value Theorem on the interval [—-2, 3]. Use calculus to ﬁnd a positive number such that the sum of the number and its reciprocal is as small as possible. .::3 MA 165 EXAM 3 ' Fa112004 Page 2/4 Name: (20) 4. Find each of the following as a reallnumber7 +00, —00 or write DNE (does not exist). . e\$+e"”’—2 <a> 129—— (b) lim 3—)0 :L' (c) mugs— wé— 1) (d) lim (1 + gal/z z—>0+ (14) 5. The numbers 3 and ‘—1 are critical numbers of the function f(:1:) = 2:125 — 51:4 — 10:53. Showing all necessary work, decide whether f has a local maximum or a local minimum (a) at 3 using the ﬁrst derivative test, 10c. (b) at —1 using the second derivative test. loc. MA165 Narne: “(16) 6 Ltf()- 1 :V. e ‘ a: ‘1+e‘-’”' \l EXAM 3 Fall 2004 Page 3/4 V Give all the requested information and sketch the graph of the function on the axes below. Give both coordinates of the intercepts, local extrema and points of inﬂection, and give an equation for each asymptote. Write NONE where appropriate. '31 horizontal asymptotes [:::| vertical asymptotes I: 1 intervals of increase :: intervals of decrease local maxima intervals of concave down |:: intervals of concave up :: i points of inﬂection :: MA 165 EXAM 3 ' Fall 2004 Page 4/4 Name: (14) 7. A conical drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup. A B 1 1+:c2' (5) 8. Find the most general antiderivative of f (cc) 2 5e“ — (6) 9. Find f(:L') if f’(\$) = 2sinm + seczm and f(0) = 3; 8 8 5 (5) 10. If /f(x)dac=1.7 and ff(:c)dx=2.5, ﬁnd /f(:r)da:. 2 5 2 ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

165E3-F2004 - ‘ MA 165'EXAM 3 ‘ Fall 2004 l Page 1/4...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online