Day 19 in Mat129

Today:

• Announcements
  • Return of pp. 137, #52-54
    • Make sure that you answer the question asked!
    • Draw a picture, make an attempt!

  • New assignment:

    Mon

    3/1

    Section 3.9

    Read 4.1: Applications of the Derivative Begin on-line homework for section 4.1 (due Mon. 3/15) Problems to hand in: Section 3.9, p. 169, #40-45 (due Mon. 3/15)

• Today: Related rates
  • Draw a picture
  • Assign sensible variable names
  • "Relate" the variables (especially rates, i.e. derivatives)
  • Use familiar mathematical elements
    • Chain rule
    • Similar triangles
    • Pythagorean theorem
    • Other geometric relationships (e.g. volume of a cone)
  • Use Units wisely -- they can help you with reality checking, especially. Don't forget them at the end! But you may avoid cluttering up equations with them...