(1 point) A bacteria population starts with 350 bacteria and grows at a rate of r(t) = 4506\"\" bacteria per hour. How many bacteria will there be after three hours? Bacteria after three hours: .:= bacteria (1 point) Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 5 seconds. The function f(t) = - sin( " t) has often been used to model the rate in it"is of air flow into the lungs. Use this model to find the volume of inhaled air in the lungs at time t. Assume no air in the lungs at time t = 0. Volume of inhaled air at time t:(1 point) Solve f :3 2dm. Use '0' as the integrating constant in your answer. Hint: You may have to use substitution more than once. :l.' f \"3 '14\": .555. 422 (1 point) Solve 1 e 1 =