21worksheet10 - D’c‘DLUT/WS MATH 122 SECTION 021...

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Unformatted text preview: D’c‘DLUT/WS MATH 122 SECTION 021 WORKSHEET 10 Show all work for full credit. 1. A company’s marginal cost function is C'(q) = 3(iq — 6)2 dollars/unit, Where q is the quantity produced. The company’s fixed cost is $2500. a. Find the total cost of producing 50 units. : art) > 5503450033563 mm W (m— We : Z500 4” [7(9150 : : do“me b. Find the additional cost to increase production from 40 units n 60 units. “0) “40* w ' w a C ’ 53/472’10 (3. ’ ‘ID 2. Evaluate the integral. (x3 + 2x2 + 5) dac : New) w : 363%? LXMNX 3. Evaluate the integral. \\ 4. Evaluate the integral. 10x4 dcc 5 Z (m5 + 3>6 7;; U:x5’+3 6’0: SWX. : ZS “(U -5 2 5. Evaluate the integral. U:)(3+X "5 a/U:(3XZ+I>01X wa/szv‘q )al)‘ 6. Evaluate the integral. uqfiafil 5103(4x’w4x )Jx q'o/v=(x5’xlélx 7. Evaluate the integral. 8. Evaluate the integral. / I / , /(m6 + 3x — 7)2(8m5 + 4) dx = Su‘(%0'05 £3020 2’) .3 5’ 55M 2 ai/x‘”+3><43 +6 3 9. Find the average value of the function over the given interval. Find all m-values in the interval where the function is equal to its average value. f(x)=:v2—10x+32 on [1,10] ID five/age Value= J, SQZ/goxdzyx /0~) , Z , , gig/2(0) X elox+32« I” ’ s )L/ 10. The population of the world is predicted to be P(t) = 6.560305“ billion, where t is the number of years since 2005. Find the average population between 2007 and 2020. In what year will the population of the world equal this average population? 200? I” i=2 ) '5 p,oo8é > _, = )5 /: /[,,5@ b 2020 i /5 2 Z $5;sz 5 [0%] r g” 70/1007) t: ms .. / We (0,0014% w\\\ 61000 5m, - %/ Wm 0 )6 average POPQ‘MW “\‘omfl ‘iWDUoQk . 11. An account with an initial balance of $5000 is compounding ontinuously at a rate of 3% per year. What is the average balance of the account over the first ten years? ...
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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.

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21worksheet10 - D’c‘DLUT/WS MATH 122 SECTION 021...

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