LIFE SCIENCE APPLICATIONS
Drug Reaction The rate of reaction to a drug is given by
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Calculus For The Life Sciences
- LIFE SCIENCE APPLICATIONS Growth of a Population The rate of growth of a microbe population is given by m(t)=27te3t Where t is time in days. What is the total accumulated growth during the first 2 days?arrow_forwardElectricity In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a function of time where t=0 is the moment the circuit is energized by closing a switch is given by the equation Qt=CV1-e-t/RC, where C,V, and R are constants. Further, the instantaneous charging current Ic is the rate of chage of charge on the capacitor, or Ic=dQ/dt. Source: Kevin Friedrich. a. Find the expression for Ic as a function of time. b. If C=10-5 farads, R=107 ohms, and V=10 volts, what is the vharging current after 200 seconds? Hint: When placed into the function in part a, the units can be combined into amps.arrow_forwardA forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius of the circle of burning grass is increasing with time according to the formula r(t)=2t+1 , express the area burned as a function of time, t (minutes).arrow_forward
- WaterWater flows into a tank, and a certain part of it drains out through a valve. The volume v in cubic feet of water in the tank at time t satisfies the equation dvdt=5(v/3). If the process continues for a long time, how much water will be in the tank?arrow_forwardIf you travel 300 miles on the first day and then drive v miles per hour for t hours on the second day, then the total distance traveled over the teo-day period is given by d=300+vt miles. Use a formula to express v as a function of d and t for this two-day event.arrow_forward
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