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### Section 3.1-problems-1

Course: MATH 305G, Spring 2011
School: University of Texas
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Word Count: 367

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(aqt73) to Section 3.1 isaacson (55826) This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points 1 4. y + 7x + 1 = 0 5. y + 7x + 3 = 0 6. y 7x + 3 = 0 Consider the slope of the given curve at the ve points shown. A D 003 10.0 points The displacement (in feet) of a particle moving in a straight line is...

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(aqt73) to Section 3.1 isaacson (55826) This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points 1 4. y + 7x + 1 = 0 5. y + 7x + 3 = 0 6. y 7x + 3 = 0 Consider the slope of the given curve at the ve points shown. A D 003 10.0 points The displacement (in feet) of a particle moving in a straight line is given by the equation of motion s = 3 t3 + 2 t + 6 , C B E where t is measured in seconds. Find the velocity, v (1), of the particle after 1 second. 1. v (1) = 8 ft/sec 2. v (1) = 11 ft/sec List the ve slopes in decreasing order. 3. v (1) = 9 ft/sec 1. C, A, E, D, B 4. v (1) = 12 ft/sec 2. D, B, A, E, C 5. v (1) = 10 ft/sec 3. B, D, E, A, C 4. D, A, C, E, B 5. C, B, A, D, E 6. B, D, C, A, E 002 10.0 points Find an equation for the tangent line at the point P (1, f (1)) on the graph of f ( x) = 2 x2 + 3 x + 1 . 1. y 7x 3 = 0 2. y 7x + 1 = 0 3. y + 7x 1 = 0 004 10.0 points Find the of value f (a) when f ( x) = 7 x + 5 . 7 7a + 5 2. f (a) = 7 7a + 5 1. f (a) = 3. f (a) = 7 7a + 5 7 4. f (a) = 2 7a + 5 7 7a + 5 5. f (a) = 2 6. f (a) = 7 2 7a + 5 to (aqt73) Section 3.1 isaacson (55826) 005 2. length of line segment P R 10.0 points For which of the following functions f and corresponding numbers a is the limit lim h0 4. equation of line through P and U (1 + h)8 1 h 5. slope of line through P and T the value of f (a)? 8 1. f (x) = x , 6. slope of tangent line at P a=1 2. f (x) = (x + 1)8 , 7. slope of line through P and R a=1 3. f (x) = x8 , 4. f (x) = x8 , 8. equation of line through P and T 9. slope of line through P and U a=8 a=0 10. length of line segment P T 5. f (x) = (x 1)8 , a=1 6. f (x) = (x + 1)8 , a=8 006 10.0 points What is the signicance of the expression f (1 + h) f (1) h 7 in the following graph of f when h = 2 ? S 5 R T 4 Q 3 2 U P 1 1 3. equation of line through P and R 2 3 4 1. length of line segment P U 5 2
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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
University of Texas - MATH - 305G
CH302 Worksheet 3Introduction to Chemical Equilibria1. Write a mass action quotient (aka mass action expression) for the general equation below:aA + bB cC + dD2. What sort of mathematical relationship exists between G and K? Which of these terms shoul
University of Texas - MATH - 305G
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