3. A bee arrives at a flower and starts collecting nectar. Her job is to try to bring back to her colony as much nectar as possible. Suppose that the rate at which nectar is collected during a visit to a flower, R, is given by the function R(t)=OSÍGH O In this formula the rate is measured in mL of nectar/min , and (t+0.5)(t+1.0) time, t, in minutes (time starts at the moment the bee starts collecting nectar). This formula assumes that the bee spends 0.5 min on a flower and that it takes her 1.0 min to find the next flower. (a) Find R(0) (include units with your answer). (b) Find R(t). to 2597 moon s mo (c) Evaluate R (0) (include units with your answer).

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.