2 points Define and plot on the interval [ − 2,2]. Use list comprehension for calculating the derivatives and use sum() to add plots into a single picture.
2 points Define a function similar to Collatz:
- If n is odd, let g(n) = 3n + 1
- otherwise divide n by the maximum power of 2 which divides n
2 points Find all the Pythagorean triples up to 1000. You need where j2 + k2 = i2 and all integers. You cannot list the same triple twice.
2 points Find all the Pythagorean triples up to 100000. Mind that three for up to 100000 would take days, so you need to generate the triples with a formula, see https://en.wikipedia.org/wiki/Pythagorean_triple#Generating_a_triple
2018.12.13 Thursday 23:59
Download the solution notebook in a .sws format and attach that.