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Unformatted text preview: MA 22300 Exam 2 $2 — 1
1. ' ' ' ' = .
Fmd the derlvatlve of f, 1f f 356 + 2
A. ~3w2 — 43: ~ 3
(3504—2)2
931:2 +4x — 3
B. ————
(3512+2)2
C 3m2+4m+3
' \(3a:+2)2
D m
' (333+2)2
E 3332 + 4:1: — 3
I (3374—2)2
 dy  2 2
2. Fmd 32—: 1f y =(117 — 2X32: +7117—3). A. 12:33 + 14:32 — 119; — 14
. 12903 + 2x2 —— 6
12.732 + 149: 12173 + 215::2 — 18a: — 14 .mpng 121133 + 9x2 — 6w ~ 14 Spring 2010 MA 22300 Exam 2 3.1ff(m)=l+\737+$—1——2— thenf’(w)= x 3 5332’
B _;1§+4m:/3_%+—4§
C. _;12 4m:/4—%+5—:§
D *312‘4—4552/44—2—4—313; 4. Find f’ if f(:c) = (2a:+ 1)3(m2 — 3)2.
A. 2(2m + 1)2(a:2 — 3)(7$2 + 21: — 9)
B. 6(23: + 1)2($2 — 3)
C. (2:1: + 1)2($2 — 3)(3:z:2 + 4x — 7)
D. 2433(21; + 1)2(m2 — 3) E. 2(23: + 1)2(:c2 — 3)(331:2 + 4x — 7) Spring 2010 MA 22300 dy 5. Find ——if‘4m—wy2=1~y. dz 6. Find f”(3:) if f(a:) = —2:I:2 + 2x + 12 A. (SE—2% 2332 — 18:1:+4 D" <x~ 2)4 (53 ~ 2)3 $+1
:1:—2 Exam 2 Spring 2010 MA 22300 Exam 2 Spring 2010 7. Find the slope of the line tangent to the graph of f = 1 + 2Vm3 + 1 when at = 2.
A. {DIN con— £11.69?!
,4; tom 8. Find the ag—value(s) of the point(s) on the graph of f Where the slope of the tangent
line is horizontal if my — y = $2 + 3. A. :c=—1,m=3
_ 1 B. (II—~—'2‘
C. 33:0 D. m=—1,:z:=2 E. There are no horizontal tangents to the graph. MA 22300 Exam 2 Spring 2010 9. The number of iPhones a worker can assemble 15 hours after arriving at work at 8:00 a.m. is given by N (t) 2 t(15+6t—t2). Find the rate at which the worker is assembling
iPhones at 9:30 am. A. 141.75 iPhones per hour
26.25 iPhones per hour
17.625 iPhones per hour
60.75 iPhones per hour
165.375 iPhones per hour arrow 10. The cost of producing x units of an item is C' = 0.4332 + 3:1: + 40 dollars. The price
at which all m units will be sold is p(a:) = 22.2 — 1.2m dollars. Find the marginal
proﬁt when 4 units are produced and sold. A. $11.20
B. $7.40
C. $13.80
D. $12.40
E. $6.40 MA 22300 Exam 2 Spring 2010 11. A spherical snowball is melting such that its surface area is decreasing at a rate of 30 square centimeters per second. How fast is its radius decreasing when the radius is 6
centimeters? Round your answer to two decimal places. A. 0.80 cm/sec
B. 4,523.89 cm/sec
C. 0.07 cm/sec
D. 0.20 cm/sec E. 45239 cm/sec 12. When 51: thousand dollars are spent on advertising, the total sales of an item is given by S = —0.002x3 + 0.61172 + a: + 500 thousand dollars. Use increments to estimate
the increase in total sales if advertising funding is increased from $100,000 to $105,000. A. $4,600 B. $30,720,000
C. $305,000
D. $4,905 E. $304,250 MA 22300 Exam 2 Spring 2010 800071. 13. The revenue from parking ﬁnes in a town is given by R(n) = n + 2 dollars, Where n is the number of parking patrol hours per day. At the outbreak of a flu epidemic, 30
patrol hours were being used daily. During the epidemic, this number was decreasing
at a rate of 6 patrol hours per day. How fast is the parking revenue decreasing per day, at the outbreak of the ﬂu epidemic? A. $93.75 per day
B. $15.63 per day
C. $1,000 per day
D. $142.01 per day E. $23.67 per day ...
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This note was uploaded on 09/19/2011 for the course MATH 223 taught by Professor Staff during the Spring '09 term at Purdue UniversityWest Lafayette.
 Spring '09
 Staff

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