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223E2-S2010

# 223E2-S2010 - MA 22300 Exam 2 \$2 — 1 1 = Fmd the...

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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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223E2-S2010 - MA 22300 Exam 2 \$2 — 1 1 = Fmd the...

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