Calc Review - Euler's Method, Logistics, Exponential Growth & Decay

• A. 3

• B. 5

• C. 6

• D. 10

• A. -5

• B. -4.25

• D. -3.75

• E. -3.5

• A. -0.25

• C. 0.55

• D. 0.25

• E. -1.2

• B. 1.88

• C. 1.84

• D. 0.94

• E. 0.88

• A. 50

• B. 200

• C. 500

• E. 2000

• A. dP/dt= 0.2P - 0.001P^2

• B. dP/dt= 0.1P - 0.001P^2

• C. dP/dt= 0.2P^2 - 0.001P

• D. dP/dt= 0.1P^2 - 0.001P

Bacteria in a certain culture increase at a rate proportional to the number present. If the number of bacteria doubles in 3 hours, in how many hours will the bacteria triple

• A. (3ln3)/(ln2)

• B. (2ln3)/(ln2)

• C. (ln3)/(ln2)

• E. ln(9/2)

During a certain epidemic, the number of people that are infected at any time increases at rate proportional to the number of people that are infected at that time. If 1,000 people are infected on the first day when the epidemic is first discovered, and 1,200 people are infected 7 days later, how many people are infected 12 days after the epidemic is discovered?

• B. 1,343

• C. 1,367

• D. 1,400

• E. 2,057

The population in Holly Springs is increasing continuously at a rate proportional at any time to the number of citizens at that time. If the population doubles every 8 years, which of the following could be the value of K, the growth rate?

• A. 0.087

• B. 0.349

• C. 0.799

• D. 1.071

• A. 4.8

• B. 5.2

• C. 4.4

• D. 6