abMathematics

Complete as many of the following questions as you can before our next class (we’ll continue to work on these in our next class as well).

Exercise 22A questions 3–8, 12 (just complete the centre column for 3–8 and 12), 14, 16, 21
Exercise 22B questions 1adf, 2ad, 3, 4a

In class we arrived at part of the solution to \(\int \sqrt{2-x^2}\;d x\), using the substitution \(x = \sqrt{2}\sin \theta\). Complete this question by showing that \[\int \sqrt{2-x^2}\;d x=\left( \frac{x}{\sqrt{2}} \right) \sqrt{ 1-\frac{x^2}{2}} +\arcsin \left(\frac{x}{\sqrt{2}}\right) + C\]

Also complete

Exercise 21E questions 4, 5d, 6
Exercise 21F questions 12ad, 17, 18bd

Complete the following questions before our next class.

Exercise 21F questions 3, 4bce, 5bf, 8dh, 9ae

Complete the following questions before our next class.

Exercise 21G questions 1, 3, 4ab, 6ac
Exercise 21D questions 12, 15, 19, 20