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Unformatted text preview: MA 165 FINAL EXAM Fall 2005 Page 1/8 NAME 104ligit PUID # RECITATION INST RUCTOR RECITATION TIME LECTURER INSTRUCTIONS I. There are 8 different test pages (including this cover page). Make sure you have a
complete test. 2. Fill in the above items in print. Also write your name at the top of pages 2—8. 3. Do any necessary work for each problem on the space provided or on the back of the
pages of this test booklet. Circle your answers in this test booklet. 4. No books, notes, calculators, or any electronic devices may be used on this exam.
5. Each problem is worth 8 points. The maximum possible score is 200 points. 6. Using a #2 pencil. ﬁll in each of the following items on your answer sheet: circles. (b) On the bottom left side, under SECTION. write in your division and section
number and ﬁll in the little circles. (For example, for division 9 section 1, write
0901. For example, for division 38 section 2, write 3802). (c) On the bottom, under STUDENT IDENTIFICATION NUMBER, write in your
10—digit PUID number, and ﬁll in the little circles. (d) Using a #2 pencil, put your answers to questions 1*25 on your answer sheet by
ﬁlling in the circle of the letter of your response. Double check that you have ﬁlled
in the circles you intended. If more than one circle is ﬁlled in for any question,
your response will be considered incorrect. Use a #2 pencil. 7. After you have ﬁnished the exam, hand in your answer sheet and your test booklet to
your recitation instructor. MA 165 FINAL EXAM
,_. _ 2
1. lim Ill :
:13—)—2 (I; + 2
, 3
‘2. 11m 61’" :
:£—>2+ 3. The domain of f(:r,) : 1n ( Fall 2005 Name: 4. Find the value of c for which the function 2x+1,
f(x) = { ﬂ”, is continuous for all 17. ifxgc
ifx>c D.
E. Page 2/8 A. —1
B. 0
C. 1
D. QC E. Does not exist A. 0
B. 1
C. 6—3
D. 00 E. Does not exist A. (1,00)
B. (0, 1)
C. (—oo,0) D. (1,00) and (—00,0)
E. (i, 00) and (—00,0) JAM—I WIl—l [QM—I O for no value of c MA 165 FINAL EXAM Fall 20033 Name: Page 3/8 , . cos :1: — 1
b.1nn v——i¢——::
:n—aO :II‘ .0 .w .>
I
{ﬁll—AH 1 EU Does not exist 6. If f(:z:) = 1:2 ln then f”(:t:) : l. + 255mm 3+2lnx
3$+2lnx 3 + 2:1; Int
1 {I} 3.0.0533?” . _ d
7. The equation 3/2 lna: + y = 23: deﬁnes y as a function of 3:. Compute —y at da:
(ray) : (1.2)
A. 0
B. 2 2
c.._— 3
D. —4 E. —2 8. Sand falling at the rate of 3 ft3/ min forms a conical pile whose radius is always twice
the height. The rate at which the height is changing when the height is 10 feet is 3 A. m ft/mln
B. i ft/min
200W
3 .
C. lob—7r ft/mln
D i ft/m'n
' 800w 1
1 .
E. — ft/min 507r MA 165 FINAL EXAM Fall 2005 Name: Page 4/8 4
9. The function f(;1:) : 37 ~ —9 has a
a? relative max at :1: 2 ‘2
relative min at a; : 2
relative max at a: : —‘2 relative min at :1: : —‘2 HUGE?" none of the above 10. The graph of y : 11:4 ~ £353 + %$2 has how many inflection points?
A. None
B. 1
C. 2
D. 3 E4 3 is A. 16 B. 2
C. 6
D. 4
E. 12 11. The maximum slope of the curve y = 6x2 — x 12. If the highest point on the curve y = K — $2 — 4x is on the m—axis, then K = A. 0
B. —4
C. —2
D. 1 E3 MA 165 FINAL EXAM Fall 2005 Name: Page 5/8 13. A linear approximation shows that (16.2)4i is approximately 1
A. 2+§
1
l3. 2+%
1
C. 2+E
1
D. 2+3—2
1
E. 2+—160 14. Let P be the point on the curve y : that is closest to (5, 0). The :c—coordinate of
P is
A. F13 F3 .
*DN‘S NIKON?le
co 15. An observer 3 miles from the launch pad watches the shuttle go straight up. He measures the angle between the horizontal and his line of sight of the shuttle. When . 7r . . . . 1 . .
that angle 13 Z, 1t 1s 1ncreas1ng at the rate of radlans/sec. How fast 1s the Shuttle rising at that instant (in miles/ sec)? A. 2
B. 1.5
C. 1
D. 1.2 E. 1.75 MA 165 FINAL EXAM Fall 2005 Name: Page 6/8 1
16/ :L'exzdx: 2
0 A 6—
' 2
6—1
B.
2
6+1
0' 2
D. 6—2
62—].
E.
2 x 1 A. _ 3 e B. — 4 C. e D. 62 1 E. — 4 0
18/ me+1dx=
—1 A. —§ B. :51. 4 C. —§
4
D. —E
E. __2_ )_n
01 19. Find the absolute maximum and absolute minimum values of the function
f(x) = 2x3 + 3x2 — 1235 on the interval [0, 2]. A. max 4, min —3
B. max 3, min 1
C. max ‘2, min 0
D. max 0, min —7 E. max 4, min —7 MA 165 FINAL EXAM Fall 2005 Name: ——_ Page 7/8 2
’20. If 2/ ct dt. then F'(4) :
0 Elbow»
("‘ 21. If ﬁx) 2 (111m)”. then f’(e) : A. 1 .m .U .0 5w
[Grommle 1
‘22. The area of the region between the graph of f($) = 2 + 1 and the :c—axis, from at = 1
$
to .’L' 2 \/§ is 7r A. —
6 B_ L
12 C. 1
3 D. _
2 E Z
3 23. The half—life of a certain radioactive substance is 10 years. How long will it take for
18 gms of the substance to decay to 6 gms? A. 61m 10 years
B. 101n6 years ln3
C. years
D. 18ln 10 years
ln3 E. 1 —
Olr12 years MA 165 FINAL EXAM Fall 2005 Name: Page 8/8 24. The focus of the parabola 3:2 + 2:1: — y + 3 = 0 is at, A. (—1,2)
13 (1.3)
c. (g —1>
0 (Iv—5%)
E. (—12%) 25. The ellipse 9x2 + 43/2 — 36$ + 8y + 4 : 0 has vertices at the points A. (2, —\/5‘) and (2, W?) C (—2,1)and(—2,6)
D (—4,2) and (2,2)
E (2, —4) and (2, 2) ...
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 Fall '08
 Stefanov
 Final Exam Fall

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