There are more questions below than what you need to hand in. You choose, which ones to hand in.

Submit for marking a total of 15 solutions to questions (not more). Of the questions that you hand in, 13 need to be analytically solved (handwritten or typeset) and 2 need to be Mathematica based questions.

Each analytic question weights 6pts/100; each Mathematica based question weighs 11pts/100.

In your hand-in, please try and order the questions in ascending order. Also, for each question please try to note both the number of the question as appearing below as well as the example number. It is best if you place the Mathematica based questions last, making sure to submit both Mathematica code and output.

1. Modify example 154 to find the derivative of f(x) = x^3+x^2+x.
2. Reproduce example 156.
3. Modify example 157 to find the derivative of the cube root of sin(x).
4. Example 158 was the derivative of ln(x). Modify it to find the derivative of the log base 2 of x.
5. Reproduce example 159.
6. Reproduce example 161.
7. Reproduce example 162.
8. Reproduce example 166.
9. Reproduce example 168.
10. Reproduce example 173.
11. Reproduce example 176.
12. Reproduce example 178.
13. Find the Taylor series of exp(-x) around x = 3.
14. All of the questions from this assignment are in this extra set containing questions (a) -- (v) .