1. The number of hours of daylight in Toronto varies sinusoidally during the year, as described by the equation, h(t) = 2.81511: [3%(1: 78)] + 12.2, where h is hours of daylight and t is the day of the year since January 1. a. Find the function that represents the instantaneous rate of change. [2A] b. Find the instantaneous rate of change for the daylight on June 21 (Day 172) and interpret it. Round to 5 decimal places. [2A] 2. A radioactive substance decays so that after t years, the amount remaining, expressed as a percent of the original amount, is .400 = 100(15)\". Determine the rate of decay after 2 years. Round to 2 decimal places. [3A] 3. If you invest $2000 compounded continuously at 3% per annum, how much will this investment be worth in 4 years