Project 2, Numerical Analysis

Solutions Project 2 Sostegni 996088

Implementation and visualization

The formula that gives us the time expressed in days comes from the simple proportion:

t : t = (24 × 60 × 60) : 1 seconds days

Therefore, we obtain:

t_seconds t = days × 24 × 60 × 60

We are using the variable t because the sampling rate is so small that the in-days intervals are in the order of 10 s: it does not make any sense to express time in seconds. Moreover, since the sampling rate is defined over the day, it is more reasonable to view data at this scale.

Max value

• 6·C = 3.502511616701167 × 10^pMret −1
• days ·t = 8.378378378378378 × 10 days
• max_days 6·C(t) = 8.302295995131742 × 10^pMvit max

Differentiation

10⁰ ·t = 9.886486486486486 × 10 days

Quadrature

• 8.510 ·= 8.541924324324324 × 10^st seconds
• 4kC − k ·C = 8.515087281928223 × 10^pM∞ret ret,h
• 5kC − k ·C = 2.033613251528675 × 10^pM∞vit vit,h