Soon after taking an aspirin a patient has absorbed 300mg of the drug. if the amount of aspirin decays exponentially, with 150g remaining after 2hours:

a). determine an exponential function of the form y=a(b t)

that can be used to model the absorption of aspirin in the blood stream after t hours, in the above scenario.

b). using the model obtained in part (a) how much aspirin will be in the blood after 5.5 hrs.

c). using the model obtained in a) find to the nearest 0.1, the time it will take for the amount of aspirin in the bloodstream to decrease to 10mg?

me

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?