**Unformatted text preview: **MA 160 Section 4.4 Worksheet Continued with Appiications Name Go v\ GÂ» a: +9 .. Properties of Definite Integral (Area and Average Value) 1. A company determines that its marginal revenue per day is R'(t) = 208â€˜ â€” 3t, R(O) = 0 where tilt) is the
total accumulated revenue, in dollars, on the tth day. The companyâ€™s marginal cost per day is C'(t) = 20 e 21â€˜, C(O) = 0, where C(t) is the total accumulated cost , in dollars, on the 1â€œ th day. a. Whatisthemarginalproï¬tfunction? e 1,â€”
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c. Find the average daily proï¬t for the ï¬rst 10 days. '10 _ ..- HQ- â€˜
w. _.e 3.. (a... eaten at- he? $432; 93 2. The temperature at the airport over a 10â€”hour period is given by f (t) = â€”t2 + 8! + 65 , 0 5 t 5 10.
a. Find the average temperature. 3 2. I0
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in. Find the minimum temperature. c. Find the maximum temperature.
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3. Findthe area oftheregion bounded by thegraph of y=-x3+3x2+10x andthe x-axis.
Sketch the graph and shade the region . Y:- - x0: "â€” 3; .4 a)
ma: fooâ€”(~K343ittoxiix+$g â€œâ€”7â€˜3'X(X+Ll(Kâ€”5)
.. I0 ( )3 L a (â€˜x3+3xâ€œ+mx}d â€œ0â€™15 râ€œ.
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-1 27' + 5â€˜ +5384 â€˜0 40â€™? Answers: 1a. P'(t)=20eâ€˜ 4â€”20 1b. $440,259.32 1c.$44,025.93
2a. 713Â° 2b. 4sÂ°att=1o 2c. 81Â°att=4 3. 407/4 ...

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