Math 8 Homework #19

Our greatest glory consists not in never failing,
but in rising everytime we fall.
Oliver Goldsmith

Reading

Read what we will cover in class on Wednesday: 12.4
Read what we will cover in class on Friday: 13.1

When reading 12.4 pay special attention to the following concepts:

  • separating variables, the basic algorithm, separable vs inseparable diff eqs, logistic growth.
When reading 13.1 pay special attention to the following concepts:
  • rectangular coordinates, polar coordinates, the relationship between them, polar graphs, note the many examples/samples and the cases when symmetry appears in the graphs.

Problems

The following problems are due by the beginning of class on Thursday 2/18 at 7 PM.
  • 12.2 : 1, 2, 3ab, 5.
  • Sketch the slope field for:
    • y' = 2y+2
    • y' = cos t
    • y' = t - y