Frame Problems Answers


Answers to Selected Problems from the Text

Chapter 1: A Few Preliminaries

  • Frame 16: 5, −3
  • Frame 18: (3, 27)
  • Frame 23: B
  • Frame 27: 40 mpg
  • Frame 29: 7
  • Frame 31: +, −, +, 0
  • Frame 37: d
  • Frame 41: 45°
  • Frame 42: c
  • Frame 43: 2 pi
  • Frame 44: 1 rad
  • Frame 45: pi slash 3, 45 degrees, 60°
  • Frame 47: 120°, 75°, π/2
  • Frame 48: pi slash 2, 540°, 30°
  • Frame 52: negative four fifths comma negative three fifths comma four thirds
  • Frame 55: −, +, −
  • Frame 56: 1, secant squared theta, 1 minus 2 cosine squared theta
  • Frame 60: a/c, b/a
  • Frame 61: m/n, l/m
  • Frame 62: 1 slash StartRoot 2 EndRoot, 1/2, 1 slash StartRoot 2 EndRoot, 1 slash StartRoot 3 EndRoot
  • Frame 65: b, c, d, none of these
  • Frame 66: sine 0 Superscript ring Baseline equals 0 comma cosine 0 Superscript ring Baseline equals 1 comma cosine 30 Superscript ring Baseline equals StartRoot 3 EndRoot slash 2 comma tangent 45 Superscript ring Baseline equals 1 comma cosine 60 Superscript ring Baseline equals 1 slash 2 comma sine 90 Superscript ring Baseline equals 1 comma cosine 90 Superscript ring Baseline equals 0
  • Frame 69 (a): +, −; (b): +, +
  • Frame 74: (a) pi slash 4, (b) pi slash 4, (c) pi slash 3, (d) 53.1°, (e) 1.49, (f) 87.1°
  • Frame 75: a Superscript 5 Baseline equals none of these comma a Superscript b plus c Baseline equals a Superscript b Baseline a Superscript c Baseline comma a Superscript f Baseline slash a Superscript g Baseline equals a Superscript f minus g Baseline comma a Superscript 0 Baseline equals 1 comma left-parenthesis a Superscript b Baseline right-parenthesis Superscript normal c Baseline equals a Superscript italic b c
  • Frame 77: 9, 1, ⅛, 16 Superscript negative 1
  • Frame 78: 3 Superscript negative 9, left-parenthesis five thirds right-parenthesis squared, 2 Superscript 6
  • Frame 79: 1, 0.1, 3 times 10 Superscript negative 5, 4 times 10 Superscript negative 5, 0.5 times 10 Superscript negative 4
  • Frame 81: one ninth, 8
  • Frame 82: 125, 1000
  • Frame 83: 3/400, StartRoot 7 EndRoot slash 10
  • Frame 84: a Superscript pi plus x minus 3
  • Frame 85: None of these
  • Frame 88: 6, 0
  • Frame 89: 7, n, −n
  • Frame 92: StartFraction 1 Over 1000 EndFraction, 100, three halves
  • Frame 93: log 4, 0

Chapter 2: Differential Calculus

  • Frame 103: 2, −3
  • Frame 112: (1) discontinuous, (2) continuous, (3) continuous, (4) discontinuous
  • Frame 123: d, b, e
  • Frame 124: d, a
  • Frame 128: 1, 2, 3
  • Frame 171: 0
  • Frame 173: a
  • Frame 174: −1
  • Frame 175: 2 x
  • Frame 181: 3 x squared, minus 7 x Superscript negative 8, negative 2 slash x cubed
  • Frame 182: negative 1 slash x squared, x Superscript negative 4
  • Frame 183: one half x Superscript negative 1 slash 2
  • Frame 184: two thirds x Superscript negative 1 slash 3
  • Frame 200: d
  • Frame 203: minus StartFraction 1 Over v squared EndFraction StartFraction italic d v Over italic d x EndFraction
  • Frame 213: secant theta tangent theta
  • Frame 215: 2 sine theta cosine theta
  • Frame 217: minus 3 theta squared sine left-parenthesis theta cubed right-parenthesis
  • Frame 219: omega cosine left-parenthesis omega t right-parenthesis
  • Frame 223: 1.79, 1.15, 17.10
  • Frame 228: 2 slash x
  • Frame 229: 2 ln x slash x
  • Frame 238: StartFraction negative 1 Over left-parenthesis ln x right-parenthesis squared x EndFraction
  • Frame 242: 12x
  • Frame 243: 2 slash x cubed
  • Frame 246: minus upper A omega squared sine left-parenthesis omega t right-parenthesis
  • Frame 248: (4)(3)(2)(1)
  • Frame 251: C
  • Frame 255: −3
  • Frame 256: ½ and −½
  • Frame 268: cosine italic x d x, negative italic d x slash x squared, e Superscript x Baseline italic d x

Chapter 3: Integral Calculus

  • Frame 306: antiderivative, or upper F left-parenthesis x right-parenthesis equals integral f left-parenthesis x right-parenthesis italic d x
  • Frame 308: − cos x + c
  • Frame 309: (a) StartFraction 1 Over n plus 1 EndFraction x Superscript n plus 1 plus c, (b) e Superscript x Baseline plus c
  • Frame 325: left-parenthesis x minus 1 right-parenthesis e Superscript x plus c
  • Frame 351: StartFraction 38 Over 3 EndFraction
  • Frame 353: −15
  • Frame 355: StartFraction 39 Over 4 EndFraction
  • Frame 361: 0
  • Frame 362: 2
  • Frame 364: x plus e Superscript negative x minus 1
  • Frame 366: pi slash 2
  • Frame 371: StartFraction v 0 Over b EndFraction
  • Frame 373: none of these
  • Frame 393: 90
  • Frame 395: 36
  • Frame 397: italic upper C b a cubed slash 12
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