In many of the following problems, it will be essential to have a calculator or computer available. You may use a software package† or write a program for solving initial value problems using the improved Euler’s method algorithms on pages 127 and 128. (Remember, all trigonometric calculations are done in radians.) The solution to the initial value problem has a vertical asymptote (“blows up”) at some point in the interval [1,2]. By experimenting with theimproved Euler’s method subroutine, determine this point to two decimal places.

9/12/2016 III. Themes of Biology A. Emergent properties: arrangement and interaction of parts w/in system Emergence: whole is more than sum of its parts Properties of life emerge at diff levels Range divided into levels of biological organization B. Unifying themes Evolution = core theme of bio unity AND diversity of organisms Living org are modified descendants of common ancestors 1.8 mil species named, up to 100 mil more Org of life patterns the cells Structure and function Heredity Interaction w/ environment C. Levels of Bio Organization hierarchy Atoms