Day 33 in Mat122

Today:

• Directed reading handout: Section 7.7 (html) (pdf)

• 7.2 due Tomorrow

• Tomorrow or Friday we'll begin section 7.7; then we'll conclude with section 7.8: inverse trig functions (hopefully starting Monday)

• Section 7.3: logarithmic functions
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  • The laws of logarithms are reflections of the properties of exponentials:

    

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  • Example:
    • 109, p. 366

• Section 7.4: applications of exponential growth and decay
  • Exponentials satisfy a very important differential equation:

  • Doubling time: the time it takes for a growing exponential function to double in size.
  • Half life: the time it takes for a dying exponential function to halve in size.
  • Examples:
    • #3, p. 371
    • #9, p. 372
    • #16, p. 372
    • #18, p. 372
    • #25, p. 373