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# exam1sol - Math 16B(Spring 2010 Kouba Exam 1 E Please PRINT...

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Unformatted text preview: Math 16B (Spring 2010) Kouba Exam 1 E \ Please PRINT your name here : ‘ K K __________________________________ Your Exam ID Number ____________ 1. PLEASE DO NOT TURN THIS PAGE UNTIL TOLD TO DO SO. 2. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO TAKE AN EXAM FOR ANOTHER PERSON. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION. 3. No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM. 4. Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will receive little or no credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important. 5. Make sure that you have 6 pages, including the cover page. 6. Include units on answers where units are appropriate. 7. You have until 1:00 p.111. sharp to ﬁnish the exam. 1.) (2 pts. each) Determine whether each statement is true (T) or false (F) Then circle the appropriate response. a.) 111(m~y)=lna:-lny T ® ® b.) (ln.r)m = m - lnm T c.)1n;v—lny=ln(:r-—y) T E) 2.) (8 pts.) Cobalt-60 is a metallic isotope used to sterilize medical supplies and medical waste. It’s half-life is about 5.27 years. If a sample of Co-60 has a mass of 15 mg. after 20 years, what was the initial amount of C0-60 ? am A: QQKJCMat: 5.27 A: LC——» ECX £5627) #(Ix): M659“: 527K”? 1cm Mal—*W-M {:010 A:/5’W1j —--=7 (5’2 C6527MC/a/(KM—5] C: ‘5’ 6%7MC/x] 95, £08.31 mj 3.) A bowling ball 18 droppedd from a tall building and it strikes the groun in 5 ”secands Assume that 13?“ acc ler tio ue to ravity is —32 ft. / sec (4 pts.) Derive formulas for the velocity and height (above the” ground) )of the doomed bowling ball. SUM ._ -— 3 5L p.» s'(+):-3;t+c (t: o S:o-~+0:~32Co)+C—ac:oj A —-” 66:)2-1616 Q+Q<fr 5 5:0-» 0— ‘ -(TL5)14,C : ~qoo+c .9 gym a J1 b.) (2 pts.) How tall is the building ? l 5C0):—IC>C0) 4.4/00 #00 4.5% H c.) (2 pts.) What is the bowling ball’s velocity as it strikes the ground ? \$15): —-3q(5) : - mo 47h/M. 4.) (7 pts.) Solve the following equation for t : e2t +3et — 4 = 0 -——v (CffW- 3 (6+2— ’4 :o 9 zl+3a~qzo ———~ (aw!) (awe): o ——» (6‘; I) (eff-p 4!) 7* 0 (I ~L 61:1 \ ef><~ é—f (MW) 5.) (6pts.) Letyzxze‘x.Solvey’zOforzr. '"X “K 2—» y‘: x1e Q()+&x-e “X : ~x+ 1 0 xe» C a) i¢o \L 6.) (9 pts.) Let f(x) 2 :v 111le . Set up a Sign chart for the ﬁrst derivative, f’(:I:), to determine any relative maximum or minimum points, (:13, y), for the graph of f . DW X>O 7.) (7 pts.) You deposit \$500 in a savings account where interest is compounded con- tinuously. If the account grows to \$3000 in 15 years, what is the annual interest rate 7'? (”r ”05’? ,4ng a 3000:5306, 15w “a (o 2 Q (5m —>,~ w: {givxb’v ouaft HCIS‘Z . .. . . . . dy , 2 8.) (8 pts.) Use 1mp1101t dlfferentlation to determine 3/ = J— for (at + y)5 = 63‘ — 3y . D ‘4 3x Jc 1 we FLx+y)-(i+y'):3-e w37w2yy’vwzs 2 ‘9 FCXWJWFCWU‘ : 363x— 3’- Kay-2643- y’ ——> 5Cx+7qul+ Buy-MM 7’: 3e3x~5 3“wa A ———> y [may]: +33 mﬂaﬂ 3e ﬂew“? -— Maw” 50% y] 4+ 3711;27ng 9.) (7 pts.) Determine if the following antiderivative is true (T) or false (F) Give sup- porting steps or reasons for your answer. .9 j": / a "W m D X9‘+(+ +0): (x 3K5“) (x +00) ><~3 (x 3): 2 90(9‘~ (oK- Xa*i _, X lgéx‘4 Lx~ 3) «1 5 C><~ 3) " 10 ) (8 pts each) Determine the following antiderivatives. 2 xi 1— a.)/\$:E—:7 (la: :3 — 4' X3] 9L? xx &X D ﬁ b.)/62\$(1+e2\$)4d\$ (M le+e fabuvgeg 01% g1”: 4*) EXTRA CREDIT PROBLEM— The following problem is worth 10 points. This problem is OPTIONAL. 1.) Determine the following indeﬁnite integral. ff ~= H22}; Ax 6 ...
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exam1sol - Math 16B(Spring 2010 Kouba Exam 1 E Please PRINT...

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