The following list represents the population of new york state (in hundreds of thousands of people) for the us census in 1790, 1800, 1810, etc., all the way through 2010.
census = [ 340, 589, 959, 1372, 1918, 2428, 3097, 3880, 4382, 5082, \
5997, 7268, 9113, 10385, 12588, 13479, 14830, 16782, \
8236, 17558, 17990, 18976, 19378 ]
copy and paste this list into the start of a new program file. then write code to find the average percentage change from one decade to the next, across all decades. for example, the change from 1790 to 1800 is (589 - 340) / 340 * 100 = 73.2% and the change from 1800 to 1810 is (959 - 589) / 589 * 100 = 62.8% so the average across just these two decades is 68.0%. the output of your program would then simply be: average = 68.0%

In a heat transfer course, we can derive the equation for the temperature distribution in a flat rectangular plate. in this example, we will look at a plate at steadystate with three sides being held at t1, and one side held at t2. the temperature for any location on the plate, t(x,y), can be calculated by where create a function (prob3_5) that will take inputs of vectors x and y in feet, scalar n, scalars l and w in feet and scalars t1 and t2 in degrees fahrenheit. it will output a matrix t which is the temperature of each x and y locations. t will have the number of columns equal to the number of elements in x and rows equal to the number of elements in y. though this can be done without loops (perhaps more efficiently), your program must use a nested loop.