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4 Pages

### HW 13-preview-1

Course: MATH 305G, Spring 2011
School: University of Texas
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Word Count: 773

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PREVIEW Version HW 13 homan (57225) This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. CalC7c44b 001 (part 1 of 3) 10.0 points 1 4. cooking time = 46 minutes 5. cooking time = 56 minutes 003 (part 3 of 3) 10.0 points Jane wishes to bake an apple pie for dessert. (iii) What was the initial temperature of the pie? The...

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PREVIEW Version HW 13 homan (57225) This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. CalC7c44b 001 (part 1 of 3) 10.0 points 1 4. cooking time = 46 minutes 5. cooking time = 56 minutes 003 (part 3 of 3) 10.0 points Jane wishes to bake an apple pie for dessert. (iii) What was the initial temperature of the pie? The baking instructions say that she should bake the pie in an oven at a constant temperature of 230 C . Being a mathematician, she 1. initial temp = 49 C knows that the temperature T of the pie after t minutes of baking will be given by 2. initial temp = 47 C T (t) = 230 Aekt , where A and k are constants. After 17 minutes of baking she notices that the temperature of the pie is 138 C , while after 34 minutes it is 184 C . (i) Determine the constants A and k . 1. T (t) = (230 184 2t/34 ) C 2. T (t) = (230 184 2t/17 ) C correct 3. T (t) = (230 92 2t/34 ) C 4. T (t) = (230 184 2t/17 ) C 5. T (t) = (230 92 4t/17 ) C 002 (part 2 of 3) 10.0 points (ii) If the pie is cooked when it reaches a temperature of 207 C , how long does it have to be in the oven? 1. cooking time = 61 minutes 2. cooking time = 41 minutes 3. cooking time = 51 minutes correct 3. initial temp = 46 C correct 4. initial temp = 50 C 5. initial temp = 48 C CalC7c47a 004 10.0 points If the half-life of a certain radioactive substance is 1400 years, estimate how many years must elapse before only 15% of the radioactive substance remains. 1. # years 3830 correct 2. # years 3930 3. # years 4130 4. # years 4230 5. # years 4030 CalC7c49a 005 10.0 points An archeologist nds a skull in Piltdown Park in England. He discovers that only 1% Version PREVIEW HW 13 homan (57225) of the original amount of carbon-14 is still present in the skull. If the decay constant for carbon-14 is 19 105 , estimate the age of the skull. 1. age skull 23900 years 5 4. 6 correct 5. 4 3. 2. age skull 24200 years correct CalC7e12a 008 10.0 points 3. age skull 24100 years 4. age skull 24400 years 5. age skull 24000 years CalC7e01a 006 points Find 10.0 the value of f (1) when f (x) = 3 sin1 x + 6 tan1 x . 1. f (1) = 4 2. f (1) = 2 3. f (1) = Simplify the expression f (x) = tan sin1 x . 1. f (x) = 1 + x2 2. f (x) = 1 x2 1 1 x2 x 4. f (x) = 1 + x2 3. f (x) = 1 1 + x2 x correct 6. f (x) = 1 x2 5. f (x) = 7 2 4. f (1) = 3 correct 5. f (1) = 2 5 2 CalC7e22b 009 10.0 points Find the derivative of f when CalC7e03s 007 10.0 points Find the exact value of sin1 . in the interval 0, 2 1. 7 2. 3 2 2 f ( x) = 1. f (x) = cos 2. f (x) = 3. f (x) = 4. f (x) = 1 x sin1 2 3 2 . x x sin 3 3 x 1 sin1 correct 3 9 x2 x 2 sin1 3 1 9 x2 x x 1 cos sin 2 3 3 Version PREVIEW HW 13 homan (57225) 5. f (x) = 6. f (x) = x 2 sin1 3 9 x2 1 x sin1 2 3 1 9x CalC7e25a 010 10.0 points f (x) = tan1 x . 6 x2 f (x) = 2 sin1 1 correct 6 x2 6 5. f (x) = 6 x2 CalC7e34a 011 10.0 points Find the derivative of f when 1 2x 1 2+x 2+x 2x 2x correct 2+x x 6. f (x) = 4 x2 2 5 + x2 . CalC7e44a 013 10.0 points Find the derivative of x f (x) = sin tan1 3 (Hint: rst simplify f .) 1. f (x) = 1. f (x) = 5+x correct 25 + x2 2. f (x) = 2. f (x) = 5x 25 + x2 3. f (x) = 6 (x2 + 3)1/2 ( x2 1 + 3)1/2 ( x2 3 correct + 3)3/2 5+x 25 + x2 4. f (x) = 6 (x2 + 3)3/2 5 4. f (x) = 25 + x2 5. f (x) = 1 (x2 + 3)3/2 x 25 + x2 6. f (x) = 3. f (x) = 5. f (x) = 4 x2 . 5. f (x) = 4. f (x) = x + ln 5 2. f (x) = x + 2 2 4 x2 4. f (x) = x +6 6 2. f (x) = 6 + x2 x 3. f (x) = 26 x x2 f (x) = tan1 Find the derivative of f when 3. f (x) = (Hint : rst simplify f .) 1. f (x) = CalC7e34e 012 10.0 points 1. f (x) = Determine f (x) when 3 ( x2 3 + 3)1/2 . Version PREVIEW HW 13 homan (57225) CalC7c50a 014 10.0 points The amount, \$A, in a Wells Fargo savings account satises the dierential equation dA = 0.08 A. dt Katy deposits \$100 in such a savings account. Find out how much money will be in her account after 4 years, leaving the answer in exponential form. 1. A(4) = \$100 e3.2 2. A(4) = \$100 e3.2 3. A(4) = \$100 e0.32 4. A(4) = \$100 e0.32 correct 5. A(4) = \$100 e32 4
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University of Texas - MATH - 305G
Version PREVIEW HW 13 homan (57225)This print-out should have 14 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.CalC7c44b001 (part 1 of 3) 10.0 pointsJane wishes to bake an apple pie for de
University of Texas - MATH - 305G
mandel (tgm245) HW14 Radin (56470)This print-out should have 23 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001Rewrite5. x2 = 7Explanation:By exponentiation to the base 3,10.0 points
University of Texas - MATH - 305G
Version PREVIEW HW 14 homan (57225)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.5. limit = 2 correct6. limit =CalC7g04a001 10.0 pointsWhen f, g, F and G are
University of Texas - MATH - 305G
Version PREVIEW HW 14 homan (57225)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.CalC7g04a001 10.0 points1Determine the value oflimx0f ( x)g ( x)whenf (
University of Texas - MATH - 305G
mandel (tgm245) HW15 Radin (56470)This print-out should have 15 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001Find the value of f (1) when1f (x) = 2 tan1. f (1) =2x.4. limit =36
University of Texas - MATH - 305G
Version 079 Make up 1 laude (51635)This print-out should have 30 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.Constants R = 8.314 JK1 mol1[C]c[D]d[A]a [B]bG H TSQDenitionsKw [H+ ][OH
University of Texas - MATH - 305G
Version 139 Make up 2 laude (51635)This print-out should have 20 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001 6.0 pointsHint: You need to do the RICE diagram forthis one. The ratio of
University of Texas - MATH - 305G
Version 095 Make up Test 3 laude (50995)This print-out should have 30 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0016.0 pointsYou set up a bomb calorimetry experiment using 1 liter of w
University of Texas - MATH - 305G
Version 367 Quiz 1 laude (51635)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1EquationsP2H 11ln=P1RT1 T2 = M RTTb = iKb m
University of Texas - MATH - 305G
Version 180 Quiz 1 Laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.Equations = cp = mv[particle]hcE = h =h=phx p 4K.E. = h 0015.0 points
University of Texas - MATH - 305G
Version 376 Quiz 2 laude (51635)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1Denitions[C]c [D]dQ[A]a [B]bEquationsG = H T SG
University of Texas - MATH - 305G
Version 278 Quiz 2 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1largest to smallest: Cl , K+ , Ca2+ , Ar, S2 .1. Ar, K+ , Ca2+ , S2 , Cl2. Ca2+
University of Texas - MATH - 305G
Version 126 Quiz 3 laude (51635)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0015.0 points200 mL of a 2 M solution of sodium chlorite(NaClO2) is titrated wit
University of Texas - MATH - 305G
Version 350 Quiz 3 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001 5.0 pointsPredict the electron arrangement in IF+ .411. 2; 6.2. 6; 0.3. 6
University of Texas - MATH - 305G
Version 340 Quiz 4 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001 5.0 pointsRank the following gases in terms of decreasing ideality: Cl2 , H2,
University of Texas - MATH - 305G
Version 445 Quiz 4 laude (51635)1This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.pH=8 means that pOH=6 and [OH ]=106Ksp = [Zn2+ ][OH ]2 (solve for Zn2+ )[Zn2+ ]
University of Texas - MATH - 305G
Version 483 Quiz 5 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1RT 2.5 kJ mol1(at STP)H f productsH fproducts5.
University of Texas - MATH - 305G
Version 081 Quiz 6 laude (50995)This print-out should have 8 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.ConstantsR = 8.314 J K1 mol1= k NAk = 1.381 1023 J K112. I only3. II only4.
University of Texas - MATH - 305G
to (aqt73) Section 2.2 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0013. limit = 34. limit does not exist5. limit = 410.0 pointsDetermine
University of Texas - MATH - 305G
to (aqt73) Section 2.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsDetermine the value of2 f ( x) g ( x)2 f ( x) 5 g ( x)Det
University of Texas - MATH - 305G
to (aqt73) Section 3.1 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 points14. y + 7x + 1 = 05. y + 7x + 3 = 06. y 7x + 3 = 0Consid
University of Texas - MATH - 305G
to (aqt73) Section 3.3 isaacson (55826)This print-out should have 7 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the value of f (a) whenf ( t) =1. f (a) =Find the x-
University of Texas - MATH - 305G
troyer (lmt836) Section 3.3 isaacson (55826)This print-out should have 7 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsButcfw_2(a + h) + 3(a + 5)= 2h(a + 5) + (2a + 3)(a +
University of Texas - MATH - 305G
to (aqt73) Section 3.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1Find the derivative off ( x) =cos x.5x 4 sin x1. f (x) =4 + 5(x cos
University of Texas - MATH - 305G
troyer (lmt836) Section 3.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the derivative of g wheng (x) = x3 cos x .4. x-i
University of Texas - MATH - 305G
to (aqt73) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the derivative off (x) = 3x sin 2x +3cos 2x .22. f
University of Texas - MATH - 305G
troyer (lmt836) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. f (x) =5. f (x) =10.0 points6. f (x) =Find the derivative of
University of Texas - MATH - 305G
to (aqt73) Section 3.5 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. f (x) =5. f (x) =10.0 points6. f (x) =Find the derivative off (x
University of Texas - MATH - 305G
troyer (lmt836) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001003Findxy + 3x + 4x2 = 1 .10.0 pointsdywhendxtan(xy ) = 2x y
University of Texas - MATH - 305G
to (aqt73) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001xy + 3x + 4x2 = 5 .2. y =y + 3 + 8xxy + 3 + 4xx3. y = y + 3 + 8x
University of Texas - MATH - 305G
troyer (lmt836) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.3.dydx4.dydx(4, 1)5.dydx(4, 1)6.xy + 3x + 4x2 = 1 .y + 3 +
University of Texas - MATH - 305G
to (aqt73) Section 3.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.1.dydx2.dydx3.dydx(5, 1)4.dydx(5, 1)y + 3 + 8xx5.dydx(5,
University of Texas - MATH - 305G
to (aqt73) Section 3.7 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsA storm system is headed towards Austin.The Weather Service
University of Texas - MATH - 305G
to (aqt73) Section 3.8 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001In the right-angled triangle10.0 points1. speed = 24 sq. ft/sec2. spe
University of Texas - MATH - 305G
to (aqt73) Section 3.8 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0011the base of the pole when he is 14 feet fromthe pole?1. tip speed =
University of Texas - MATH - 305G
to (aqt73) Section 3.9 isaacson (55826)This print-out should have 3 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001002110.0 pointsFind the dierential, dy , ofy = f (x) = tan(4x2 ) .1
University of Texas - MATH - 305G
to (aqt73) Section 4.1 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 points7. x = 55, 0,66 28. x = ,33003Find all the critic
University of Texas - MATH - 305G
to (aqt73) Section 4.1 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind all the critical points of f whenf ( x) =x2x.+ 25
University of Texas - MATH - 305G
to (aqt73) Section 4.2 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsHow many real roots does the equationx5 + 5 x + 8 = 0have?
University of Texas - MATH - 305G
troyer (lmt836) Section 4.2 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsHow many real roots does the equationx5 + 2 x + 6 = 0
University of Texas - MATH - 305G
troyer (lmt836) Section 4.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001002110.0 pointsUse the graph10.0 pointsThe derivative of a fun
University of Texas - MATH - 305G
to (aqt73) Section 4.4 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsDetermine if the limit2x + 1lim2 3x + 2x xexists, and i
University of Texas - MATH - 305G
to (aqt73) Section 4.5 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001143.210.0 points42242424242If f is a function on (4, 4)
University of Texas - MATH - 305G
to (aqt73) Section 4.7 isaacson (55826)This print-out should have 4 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsA rectangular dog pound with three kennelsas shown in the g
University of Texas - MATH - 305G
to (aqt73) Section 4.9 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00112. F (x) = 7 sin x + 9 cos x + C3. none of these10.0 pointsFind the
University of Texas - MATH - 305G
to (aqt73) Section 7.1 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFive functions are dened by the tablex123456f ( x)3
University of Texas - MATH - 305G
to (aqt73) Section 7.3 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the value of x when1x = 6 log2+ 9 log3 27 .82. ln
University of Texas - MATH - 305G
to (aqt73) Section 7.4 isaacson (55826)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001Find the derivative off (x) = ln10.0 points1. f (x) = Find the deriv
University of Texas - MATH - 305G
to (aqt73) Section 7.6 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsf (x) = 5 sin1 x + tan1 x .742. f (1) =1543. f (1) =1
University of Texas - MATH - 305G
to (aqt73) Section 7.8 isaacson (55826)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.0014. A and B only5. B only10.0 points6. A onlyDetermine ifx3 + 6 x2 +
University of Texas - MATH - 305G
CH301Worksheet 0Doing Math Without a Calculator(Hint: It is amazing how much math you can do with a pencil and paper, like long division!, or, moreimportant, by estimating and approximating. For example, watch an experimental scientist at work using jus
University of Texas - MATH - 305G
CH301 Fall 2009 Worksheet 21. Calculate wavelength from the following frequencies.a) 625 kHzb) 734 MHzc) 8.4 E14 Hzd) 92 GHz2. Given the following energies, calculate the frequencies of the photons.a) 17 kJb) 564 E-25 Jc) 98 pJd) 230 J3. Rank t
University of Texas - MATH - 305G
CH301 Fall 2010 Worksheet 2: From EMR to QM to EC and Beyond1. Relate Electromagnetic radiation to physical phenomenaGamma rays, X-rays, UV, Visible, infrared, microwave, radio, televisionphenomenonElectromagnetic radiationCooks food by heating water
University of Texas - MATH - 305G
CH301 Fall 2010 Worksheet 2: From EMR to QM to EC and BeyondAnswer Key1. Relate Electromagnetic radiation to physical phenomenaGamma rays, X-rays, UV, Visible, infrared, microwave, radio, televisionphenomenonElectromagnetic radiationCooks food by hea
University of Texas - MATH - 305G
CH301 Fall 2009 Worksheet 3 Answer Key on Electronic Configuations and Periodic Table Trends 1. Write the electron configuration of gallium (Ga) in long notation and in short notation. 2 2 6 2 6 2 10 1 1s 2s 2p 3s 3p 4s 3d 4p 2 10 1 [Ar] 4s 3d 4p 2. Write
University of Texas - MATH - 305G
CH301 Fall 2010 Worksheet 3 Answer Key: Electron Configurations and Periodic Trends1. Match the following elements with their corresponding electron configurations2. Write the electron configuration of arsenic (As) in long notation and in short (noble g
University of Texas - MATH - 305G
CH301 Fall 2010Worksheet 4 Answer Key1. For each element below, indicate the ion(s) it is most likely to form.a) Na Na+b) Ca Ca2+c) IrIr+, Ir3+d) Pb Pb2+, Pb4+e) Cl Clf) SS22. Write balanced unit formulas for the salts formed by the following pair
University of Texas - MATH - 305G
CH301 Fall 2010 Worksheet 5 Answer Key: Drawing Lewis Structures1. Draw the Lewis structure of the following compounds:a . NaClb . CaBr2c . K2Sd . Cs3P2. Draw all correct Lewis structures for the following compounds:a . O3b . NO3-c . SO42-d . HP
University of Texas - MATH - 305G
CH302 Worksheet 1 Answer Key for Physical Equilbria Problems from Lectures 1 through 3For Questions 1-4, use the Phase diagram below.1. What is a good general definition of the term triple point? How many triple points are found int hephase diagram for
University of Texas - MATH - 305G
CH302 Worksheet 2Colligative PropertiesAll of this is intended to be done without the aid of a calculator. All of the calculations are designed suchthat approximating should be straight-forward and produce a correct result.1. Based on the physical cons
University of Texas - MATH - 305G
CH302 Worksheet 2 Colligative PropertiesAll of this is intended to be done without the aid of a calculator. All of the calculations are designed suchthat approximating should be straight-forward and produce a correct result.1. Based on the physical con