Final answer:
The solution set y = 11.5 sin (π/2) + 25 represents the days when the daily electrical output from the solar panels is zero.
Step-by-step explanation:
The function E(t) models the daily electrical output from the solar panels on Agnes's home on the tᵗʰ day of the year. The expression E(t) = -11.5 sin(2π/365(t-18)) + 25 represents the daily electrical output in kilowatthours. To find the solution set for y = 11.5 sin (π/2) + 25, we substitute 11.5 sin (π/2) + 25 into the expression for E(t).
This simplifies to E(t) = 0. This means that the solution set y = 11.5 sin (π/2) + 25 represents the days when the daily electrical output from the solar panels is zero.