In 'Romeo and Juliet,' if Romeo's love for Juliet increases linearly from 0 to 10 (arbitrary units) over the course of Act I, and Juliet's love for Romeo increases exponentially, represented by e^(0.1t) (where t is time measured in days from the start of Act I), which variable grows faster during the second half of Act 1 if Act 1 spans 5 days?

If the Capulet-Montague feud can be modeled as a recurring cycle of aggression and reconciliation with a period of 10 years, and the initial intensity of the feud is 'A', what would be the mathematical representation of the feud's intensity over time (t), assuming it follows a sinusoidal pattern?

Suppose the probability of Romeo encountering a Montague is 0.6, and the probability of Juliet encountering a Capulet is 0.7. What is the probability of Romeo and Juliet both encountering members of the rival houses on the same day, assuming these events are independent?

If the total number of citizens in Verona is 'N', and the ratio of Capulets to Montagues is 2:3, what percentage of the population does each family represent, respectively? Note that other families also reside in Verona.

If Friar Laurence needs to mix a potion with ingredients A, B, and C in the ratio 1:2:3, and he wants to make a total of 60 ml of the potion, how many ml of ingredient B does he need?