Review Problems from Textbook

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  • Supplemental Text on Difference Equation (you can find this on WebAssign)
    • Section 10.2: 3, 5, 7, 17
    • Section 10.3: Practice problem number 3, Exercises: 21, 27
    • Section 10.4: Exercises: 5 ,7, 9, 11

The remaining problems come from your textbook:

  • Section 1.4 (Limits) Exercises: 1-5 odds, 17-19 odds (try graphing these!)
  • Section 1.5 (Limits, continuity and differentiability)
    • See Figure 1 for helpful examples
    • Example 3 has many helpful figures
    • Exercises: 1-5 odds,
  • Section 1.6 (Practice with derivatives)
    • Exercises 1-33 odds, 39-43 odds
  • Section 1.8 (See also WebAssign Homework: Derivatives II and Applications of Derivatives)
    • Examples 3 and 4 we covered a similar examples in lecture
    • Exercises 7, 12 (Answers: (a) At point A; (b) negative; (c) It is zero; (d) backward; (e) It is back at the starting place and at rest; (f) The velocity is zero), 13, 15, 17, 18 (Answers: (a) picture b; (b) picture c; (c) picture d; (d) picture a; (e) Picture e.)
  • Section 2.1 (Graph sketching)
    • Exercises: 1,3, 13, 15 (For 13 and 15 try sketching in tangent lines to help you see how the slope is changing as you read from left to right.), 33
  • Section 2.2 (Graph sketching continued...)
    • Exercises: 7-17 odd, 23 (I suggest talking this one through with a neighbor)
  • Section 2.3 (Graph sketching continued...)
    • Exercises: 1-7 odd, 25-31 odd, 41
  • Section 2.5 (Optimization)
    • All three examples in this section are worth reviewing!
    • Exercises: 11, 13, 15, 17, 19 (For number 13: girth = perimeter of the square end.)
  • Section 3.1 (Practice with derivatives, product rule)
    • Exercises: 1-27 odds
  • Section 3.2 (Practice with derivatives, chain rule)
    • Exercises: 5-9 odds, 29-35
  • Section 4.2 (Exponential Function)
    • Exercises: 25-35 odds, 39, 41, 43
  • Section 4.3 (Exponential Function continued)
    • Exercises: 1-25 odd, Differential equations: 41, 43
  • Section 4.4 (The natural logarithm)
    • Exercises: 7-17 odd
  • Section 4.5 (The derivative of the natural logarithm)
    • Exercises: 1-19 odd
  • Section 4.5 (Using the laws of logarithms)
    • Exercises: 33-37 odd
  • Section 5.1 (Exponential growth and decay)
    • Exercises: 1, 5, 7, 13, 15, 17
    • WebAssign Assignment Applications: Exponential, Logarithmic Functions also has many good problems.
  • Section 6.1 (Indefinite integration)
    • Exercises: 1-45 odd, 55
  • Section 9.1 (Integration using substitution)
    • Exercises: 1-33 odd
  • Section 6.2 (Definite integration)
    • Exercises: 1-13 odd, 31, 33
  • Section 6.3 (Area under a curve)
    • Exercises: 19-23 odd, 33, 35
  • Section 6.4 (Area bounded between the curve and x-axis)
    • Examples 1, 2, and 9 are all worth reviewing
    • Exercises: 7-11 odd, 45
  • Section 6.5 (Applications of the definite integral)
    • Exercises: 1-9 odd, 29-35 odd (Average value and solids of rotation!)
  • Section 9.6 (Improper Integration)
    • Examples 1,2, 3 are all worth reviewing
    • Exercises: 13, 21-27 odd