Question 1 The total amount of food that bees from a hive collect each day varies over the year according to the season. For instance, bees collect less food during autumn and winter when there are few owers available, and more during spring and summer when there are many owers. It is also impacted by environmental conditions like drought. Suppose that for a particular hive, the amount of food collected by the bees per unit time is given by t m) = (1 + sin(2:-rt))e_ where t is the time in years since the hive was established, and f(t) is measured in kilograms per year. The sine component represents seasonal variation, and the exponential component represents a long-term decline in food availability due to climate change and land clearing. b The total food collected by the bees over a time period t = a to t = b is given by f f (t) (it. an (a) Sketch the graph of f(t) for 0 S t 5 10. (b) Use the complex exponential to calculate how much food the bees will collect over the first 10 years