Here is a problem:
Suppose that at the beginning of day 0, some time last summer, the temperature in Boston was
y(0) = 15◦ Celsius and that over a 50-day period, the temperature increased according to the rule
y'(t) = y(t)/50, with time t measured in days. Find the formula for y. By definition, day 0 is
0 < t < 1. Find the average temperature on day 3. Find the average on day 4.
Is this correct for the formula for y:
y(t) = 15 + t
And then is the average for day 3 the definite integral of that function with limits from 0 to 3?