Section: Week 09: Oct. 18 | MAT 112A (Fall 2021) - Calculus I and Modeling | Davidson College

Section: Week 09: Oct. 18 | MAT 112A (Fall 2021) - Calculus I and Modeling | Davidson College

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General
- Neidinger's Office Hour Zoom link TuTh 10:50 -- 11:50 URL
  
  Expected Tues & Thurs 10:50 -- 11:50 a.m. Email Neidinger (rineidinger) if not working or to arrange any other time.
- Neidinger in-person Office hour: in Chambers 3043 after class MWF 10:40 -- 11:40.
- Embedded Tutor Basel Elzatahry Zoom Link (if and when arranged by email) URL
- Basel Elzatahry in-person help sessions: In Chambers 2130 (starting 9/7/21) on
  Sundays 3-5p;
  Tuesdays 8-10p,
  Thursdays 8-10p.
- Math & Science Center URL
  
  The linked page will post tutor schedules for drop-in assistance, as well as links to schedule an appointment with a tutor. Located in the Center for Teaching & Learning (CTL) on the first floor of the College Library, the MSC’s drop-in hours are Sunday through Thursday, 8-11 PM, beginning Sunday, August 29. Prior to visiting for drop-in help, be sure to look at the tutor schedules to determine when an appropriate tutor for Calculus will be present.
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Week 09: Oct. 18

Week 09: Oct. 18
- #22 Assignment
  
  Read 6.3
  6.3; 3, 14, 17, 19, 38, 48.
  6.4; 3, 8, 16.
- #23 Assignment
  
  Read 6.4; geometry formulas are on page A-10 (Appendix D).
  6.4; 21, 22, 23, 24, 25, 27, 28.
- #23 Solutions 6.4 Related Rates File
- Rotation related rates example File
- #24 due Monday and "quiz" link for after class
  
  Read 6.5 but replace p. 352 with the following: The linear approximation of f(x) for x near a is
  f(x) ≈ f(a) + f '(a)(x-a). This should approximate any f with a line, as in the point slope form f(x) ≈ y₁ + m (x-x₁).
  6.4; 30, 36.
  6.5; 1, 25, 29, 32, 35: do all these problems using differentials.
  Exercises: For each of the following, write down the linear approximation f(x) ≈ f(a) + f '(a)(x-a) for x near a; then, if requested, test it by using it to approximate the specific value(s). (An example answer looks like: x^5 ≈ 1+5(x-1) for x near 1; test (1.003)^5 ≈ 1+5(.003)=1.015 (actual 1.01509...).)
  A. f(x) = sin(x) for x near 0; test sin(.03); test sin(-.12)
  B. f(x) = x^(1/2) for x near 25.
  C. f(x) = ln(x) for x near 1; test ln(.996).
  D. f(x) = (1+x)^n for x near 0; test 1.001^37.
  The "Quiz" is a way to record your grade out of 10 from in-class corrections.
  For Monday: You may bring past assignment and problem numbers that you want to go over.