Section: Week 11: Nov. 1 | MAT 112A (Fall 2021) - Calculus I and Modeling | Davidson College

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Week 11: Nov. 1

  • Week 11: Nov. 1

    • Read 7.2
      Must show u and du on all problems except 37.
      7.2; 3, 8, 9, 12, 15, 18, 29, 31, 37, 40, 43, 46, 47, 49, 55, 60.
      On 60, show how the two answers are essentially equal.

    • Read 7.3
      7.3; 3, 4, 15, 36, 38, 41.  p. 420; 53.  Problem A below.
      On 4b, you may want to sketch y=f(x) and the rectangles to understand the integral; these are left endpoints, so it is not obvious.
      On 36, further instructions are in the paragraph above.
      p. 420 (Chapter Review): 53.
      Problem A:  Estimate the integral of sin(x^2) from 0 to 2 using
      (a): n=4 intervals and right endpoints; by hand except for simple decimal calculations.  (Three decimal places will suffice.)
      (b): integral approximation website below with Midpoints and n=10, 20, and 100.  Report six decimal places.

    • Read 7.4  Good notation is required.
      7.4; 3, 14, 21, 35, 40, 51, 53, 54, 60, 64, 65, 77.
      Hint on 60: use symmetry of graph.