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Unformatted text preview: MATH 122 SECTION 021 TEST 3A Show all work for full credit. All decimals should be correct to three (3) digits past the
decimal. Good luck! 1. The velocity of a car (in mph) is graphed below. Use sum approximations with n=5
rectangles to estimate the distance traveled by the car in the ﬁrst 10 hours Give units.
(8 points) velocity
(mph) t (hours) 5 10 2. Find the area included between y = 11:2 + a: — 42 and y = 856 + 2. (6 points) lA‘rersecho/i Punk’s“ (“l/ ’30) M0. ("290) All “ l (xzw'xv‘iz)  [8x143in =[5zoz.5( 3. Attendance at a local fair can be modeled by
A(t) = —t4 + 12t3 + 30252 + 60t people, Where t represents hours since gates opened at 9AM. Determine the average attendance
between 3PM and 8PM. Give units. (8 points) ll 5%” ("a L Spynziﬂsotqrzooilo“:
33% 915:” a gym» : (“Fm = (ea/la 2 4. The graph of f is shown. Evaluate each integral by interpreting it in terms of areas.
(3 points each) 5. A company’s marginal cost function is
C’ (q) = 3(q ~ 20)2 dollars/item , Where q is the number of items. If the ﬁxed costs are $5000, ﬁnd the additional cost of
increasing production from 15 items to 40 items. Give units. (8 points) “‘03 ' “53 ‘ 8%»2542 (WVJBMQ l5 : Joiiaf" 6. In 2010, a tree is 5ft tall and growing at a. rate of r(t) = 2v 3t + 1 inches/ year, Where t is years since 2010. How tall do you expect the tree to be in 2015? Give units.
(8 points) 5
32%;”, 5 28 Nich
O zgit’iéi‘es.l£€ 3 New “ﬂaw—s 5+2 3 12mm 4223M or 7. A particle is moving so that its velocity is
v(t) = 8t — t2 feet/sec, where t is time in seconds. Find the total distance traveled by the particle in the ﬁrst ten
seconds. Give units. 6 points
( ) Peel: 5‘66 2 / r A 0510/ a flaw ‘ 66¢” 8. It is estimated that t days from now, consumers will be buying girl scout cookies at a rate of
r(t) = 12x/t + 9 boxes per day. If the girl scouts charge $3.50 per box7 how much revenue will they generate in the next week? Give units. (8 points) 4 bags
fund: mmls S [ZQTWﬂ ‘ Z710 boxes I
p : 0X68
ﬂaws. 3500bllar5 : $10360
box 9. The math Club is selling T—shirts to raise money. They currenty charge $13 / shirt and sell
280 shirts. A survey determines that they would sell 4 fewer shirts for every $0.50 increase
in price. What should they charge to maximize revenue? How many Tshirts would they sell? Give units and prove your answer. (8 points) Maximize Q: {13+0,5x)(zgo—47<3
bed/alive ?’= (190,590!) + (Zgo—qx)('o.5> : ~52 ~2x 14 Mo »zx {2:13t01’5ﬁz3 (Nile/1d 0 3 58"” POI/lb 4X : A
)f 2; 2304(227 X= 22 __..+———;> I2 ~88"‘/><
<@ 22 6) ﬁshle 4 10. Evaluate the integrals. Reduce coeﬂicients. a. —2gdm: , 
Ix SZM/w £25m s (3 points eachi : 5/4
W : 7W 37:1.)ch
e.f3da: :E 11. Evaluate the integral. Reduce coefﬁcients. (8 points) / 91172—6 d
x3—2x+1 x 12. Evaluate the integral. Reduce coefﬁcients. (8 points) / 4x4 + 8:6 d3:
\5/ 2:5 + 5302 + 4 U= x3525”
JU :(5Xlu :(Xq*ZX gay: (Hxhgx ...
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This note was uploaded on 02/21/2012 for the course MATH 122 taught by Professor Kustin during the Spring '08 term at South Carolina.
 Spring '08
 KUSTIN

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