Applied Mathematical Methods

Appendix

A

Answers, Solution Outlines and Comments to Exercises

Chapter 1

Preliminary Test

1.     [c² = a² + b² − 2ab cos C.]        (5 marks)
2.     [Verify that the point is on the curve. Find slope (at that point) and the tangent y + 8 = 12(x + 2).        (5 marks)

   Rearrange the equation to get it in intercept form, or solve y = 0 for x-intercept and x = 0 for y-intercept.]        (5 marks)

3. One.    [Show that g′(t) < 0 ∀t ∈ R, hence g is strictly decreasing. ...