Section: Week 12: Nov. 8 | MAT 112A (Fall 2021) - Calculus I and Modeling | Davidson College

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Week 12: Nov. 8

  • Week 12: Nov. 8

    • Read 8.1 and Extended Application p. 461-3.

      7.4; 84 version:  a. Just describe V(t) from t=0 to t=T.  b. Evaluate the given formula by first finding the integral value by calculator (say what command you use, fnInt is suggested).  (May ignore book's hint.)
      8.1; 9(show calculation steps using rule formulas), 15, 16, 17-20(see below), 37(just report your calculator's approximation of the integral).
      p. 463; 2 (Typo: the integral should be from 0 to 24, not 0 to t.)
      On 17 & 19, To compute all requested values, may use online app, record all digits, in a table (could use a spreadsheet): summarize results in a table of " n,  Trap,  Err,  Err*n" & corresponding for "Simp" in 19.  Hint: in finding p, you may assume that Simpson has a higher p than Trapezoidal and "approximately a constant" means just agreeing in a couple of digits.

      Optional Star: 7.4; *61+on (c) repeat for h=.0001 and also use calculator/computing to graph antiderivative f(x) on [0,1], write what you do and what you input.

    • Read 8.3
      On every problem that asks for a volume, also sketch the region to be rotated and sketch the solid of revolution.
      8.3; 12, 17, 24, 25, 31, 34, 36, 42.

    • Do problems on handout (also linked here).