Section: Week 07: Oct. 4 | MAT 112A (Fall 2021) - Calculus I and Modeling | Davidson College

Section: Week 07: Oct. 4 | MAT 112A (Fall 2021) - Calculus I and Modeling | Davidson College

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  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
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  Tuesdays 8-10p,
  Thursdays 8-10p.
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  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 07: Oct. 4

Week 07: Oct. 4
- #16 Assignment
  
  Read 4.6
  On 40 may get derivative from graph, on all other problems you must show finding the derivative formula.
  4.6; 3, 7, 10, 18, 21, 33, 35, 38, 40.
  p. 312; 76.
  On 76: Plot over 0 to 2 sec. Measurements are positive going counterclockwise and negative going clockwise (as is usual in math). So in d, positive acceleration corresponds to counterclockwise force.
- #17 Assignment
  
  Read 5.1 & 5.2.
  5.1; 17+, 26+, 29+, 32+, 41, 44, 53, 56.
  The + means to also find (d) where a relative maximum is at x or relative minimum is at x.
  Hint on 17-32: simplify y' by common denominator or factoring.
  Hint on 53 & 56: The quadratic formula (p. R-13) can help find where derivative = 0.
- Actual alcohol incr/decr URL
- blood vessels photo URL
- Poiseuille's equation for fluid flow resistance in tube URL
- some blood vessel branching video URL
- #18 Assignment
  
  You must find maximums or minimums by using the derivative.
  5.2; 15, 42ab, 46, 50, 53 as specified below.
  Hint on 42b: Include both + and - when you take a 6th root or ^(1/6).
  On 46b, do find the time but actual maximum value is optional.
  On 53: On (b-i), I require you to use csc functions instead of sin as in back of book. On (j-m), change to sin and factor out sin functions. On m, consider at or near endpoints 0 and pi/2. Throughout, try to avoid looking at the back of book unless necessary; it's fine if you "get ahead" of what they are asking on each step.