Don't help me to solve just needed guidance of how to put it into programming code.
a) Calculate and plot the ideal gas pressure as a function of volume for a given temperature. Mathematically, the operations can be written as shown below: (what does this question means?)
R = 8.31453Jmol-1K-1 T = 273.15K N = 7mol v = (0.1m3,0.3m3,…,1.5m3) e = (1,1,…,1)T t = Te P = NRdiag(v)-1t
(b) Plot an exponentially decaying sine plot = e-0.4xsinx, 0 < x < 4π, taking 10, 50, and 100 points in the interval. [Be careful about computing y. You need array multiplication between e-0.4x and sin(x)](what does a exponentially decaying sine plot looks like?)
(c) Let h(t)= <x, y, t > where x =t cos(t), y = t sin(t) for -10π ≤ t ≤ 10π be the space curve. Plot its graph over the indicated interval using 3d plot. (How to make a plot to become a 3d graph?)
A hint for (b): they mean to use .* instead of * to do element by element multiplication instead of matrix multiplication. Same hint for (c). Another hint: linspace() function.