Exam 3 Key for 3pm - MATH 124 EXAM III FALL2009 MTH 124...

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Unformatted text preview: MATH 124 EXAM III FALL2009 MTH 124 Exam 3 Fall, 2009 KEV Name: " / Section #: PH): Date: Instructions: - 1. DO NOT OPEN THIS EXAM UNTIL YOU ARE INSTRUCTED TO DO SO. 2. Without fully opening the exam, check that you have pages 1 through 7 and that none is blank. 3. Fill the information at the top of the page. 4. Neither books nor scratch paper are needed for this exam. Clear your desk of everything but this booklet, your pencils and your calculator. If you need more space to write your solutions, use the backs of the exam pages. 5. Crib sheets (pro—compiled lists of formulas or other information) either written or in a calculator are specifically forbidden. Use of a crib sheet of any kind on this exam will result in an automatic zero grade. 6. The problems on this exam vary in difficulty. You should try to solve these problems in an order that will maximize your score. Solve all the easier problems first, then go back to the ones that require more thought. ’7. Unless otherwise indicated, SHOW ALL YOUR WORK. if no work is shown, no partial credit can be awarded. Even for calculator solutions, you should include relevant information, like the equation to be solved, the function whose graph is to be sketched etc. Your work and answer need to be accurate and relevant to receive points. 8. Please place your answers in. the boxes provided. You may give only one answer. 9. Give simplified and exact answer; Unless you are specifically instructed to do otherwise, DO NOT ROUND YGUR ANSWER. 10. You will be given exactly 50 minutes for this exam. I have read and fully understood all of the above instructions Signature: Page - MaxPoints 10 l 28 t 22 is ‘ 15 g 10 100 i 3 Points - J a g b air‘sihrmles eschew (1425M ’ MATH 124 EXAM HI . . 3:00 in __ FALLZOOQ. 1. (10pts.) The graph of the derivative g‘(x') (not g(X) ) is Shown in the sketch above. _ Use this sketch. to fill in the missing vaiues in the table for g(x) (not g‘(x)) given that g(2) = 4. S 0w some work to indicate where the numbers are coming from. E j . 5 «4‘. "V a...” -:'; mum,ng gqu (Q E Sofa a MATH 124' EXAM III . 3:00 In FALLZOOQ 2. (5+5‘+5215pts.) Short answer questions. .. a x222 r t,ten ’x: 3. [)IfG()%1l1n()d h G() x th‘xl [Club Lilla “Ml; “:2 O b) Suppose Jflfldic = 5 , and Ig(x)dx = 8 . Then we get that \9 “’ a by b b i , [yon )dx: g stay.) (in 45 3:? gm 2 s S lem t q L900 is: a a. On a ‘ “lg 3: aUSHegftiél Momma gm 4 c) If f(x)dx = 7, and ]f(x)dx = 4, then [foam m {" Ltflzlxt ‘ltcmmgn‘lmclm => LN. gait—(>0de S. S t q Lt form = ethnic—tie 3. (9+4=13pts.) q 21) Write the area enclosed by y = x and y “xx-2J3 as a single definite integral. Please specify the exact limits of the integration. (Hint: First find the points of intersection of the two curves.) ytk/ A 38:14 ‘7» xx}.— LlM’QD- XLWLlVO x2109 “Xi-Ll b) Evaiate th integral from part (a) by using your calculator. fl QQCOQ}? MATH 1'24 EXAM HI 3.100 m . . FALLEOOQ 4. (12pts.) Find the equation of the line tangent to'the curve g(x) '= «#15 4 3x atx =E‘ 5. {6+4m10pts.) Suppose C(q) is the total cost (in doflars)required to setup an industry and produce q units of a product. The fixed costs in C (q) are $25, 000, and the marginal cost is C’(q) =‘0.008 92 +641] +38. In its first month of operation, the industry produced 200 units. 8.) Find the total cost to produce the first 200 units. (Cm) ‘3 C (.0) IF SW6 (3) 0% b {50 it: “aéwooa «Ii (“wig imgflfid‘g “SB-£3; 000 Jr mocca- 'W b) Explain the practical meaning of the integrai and find the result (including the 220 units) of jc'(q)dq ' 200 Exp»; cm 3:0 mWWQ (9%de Wm 3m “i5?” “m? W 0925)de 3% a \img _ r3239 MATT-1.124 EXAM 111 31-00 m . . .. PAM-.2009 QWW “3m 6. (5+5+5$1.5pts.) Find the derivatives of each- of the following functions. Do 113% simplify. . Jan's; lfiqtaw +0 i 3‘ 95¢“ a)y=6x3+52x*1+100 ysfigfl’sx) Jr‘s (L WA 2 \g y; Jr 5 SW3 L3 «3* . . , , ,1 13) MA) = (x +111x)4 E a 3 ~.-: Lt man-x9 L t” +31)“ 334 r, Ln! 1......4 WWW“) c) g(x) = 236W __ 1 . m 635.5%] z’afwd “"5 (QR) %.%X““§’ CLAW“ m “3* L6 X”7)<JX 4:"«%\Xfi%~ L‘J Scratch Work: .. _ ( MATH 124 EXAM III 3:00pm 'FALL2009 7. (6.+4+5:15pts.) The graph below Show the: rate r(t), in hundredjsof thousands of galions/hoijr, at which water flows from a dam, where t is in hours. The water'begins to flow 2.5. heurs before midnight every night and is used to supply drinking water to a nearby town. E 2 = . b) To estimate J'r(r)dr, first draw rectangles on the graph above correspondi -" ' ’ e 0 MKH right—handgun: Where 72 m4. A’QS i 6 m “M “1 er {QM (m '3‘ W “6*” WW 2 0) Estimate J'r(r)dr by calculating the right~hand sum Wifim = 4 from part c. ‘“‘ 0 . MATH 124 EXAM III 3:00gm . FALLZOOQ 8. (10pts.) The fimction h(t) given in the table below represents the change in height of a given tree, in centimeters per year, where t is in years since 1980. If he height of the tree is originally 200 centimeters n 1980, find your best estimate for the total height 0 e tree in the year 2000. WW ‘ 33; j g (I ngLHSJfé‘) rgfimb 3 (I5 e a SUI/592343) 2” S “I: mo 2; {$me “e”: UM Avg =2: I Be m ...
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Exam 3 Key for 3pm - MATH 124 EXAM III FALL2009 MTH 124...

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