MATH 152 Applied Calculus Slides may change. Estimate 5.2

MATH 152MATH 152Applied CalculusApplied Calculus

Slides may changeSlides may change

Estimate 6

0)( dxxf

5.2

New Plants

Which species has the most plants after one year? Two years?

5.4

A Drive Starts 100 miles north from home. When is he farthest from home? How far away? When is he closest to home? How far away?

5.4

Bioavailability − AUCBioavailability − AUC

Cp (IV dose)

Cp (oral dose)

Cp = plasma concentration

• Find absolute bioavailability F.• It is the ratio of the areas under the plasma concentration vs time curve (AUC), assuming equal doses.

http://www.chm.davidson.edu/erstevens/AUC/AUC.html

5.4

Theater Tickets Figure 7.4.1 is a graph of the rate r (in

arrivals per hour) at which patrons arrive at the theater in order to get rush seats for the evening performance.

The first people arrive at 8 a.m. The ticket windows open at 9 a.m. Suppose that once the windows open

people can be served at an (average) rate of 200 per hour.

7.3

r Theater Arrivals Per Hour7.3

Questions Find the following: The length of the line at 9 am when the windows

open. The length of the line at 10 am. The length of the line at 11 am. The rate at which the line is growing in length at

10 am. The time at which the length of the line is a

maximum. The length of time a person who arrives at 9:00

am has to stand in line. The time at which the line disappears.

7.3

U.S. Age DistributionU.S. Age Distribution

Note width of “bin” − 20 yearsNote width of “bin” − 20 years

8.1

U.S. Age DistributionU.S. Age Distribution

Note width of “bin” − 10 yearsNote width of “bin” − 10 years

8.1

HW 2

Math 152 HW Week 2

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8.1

HW 3

Math 152 HW 3

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8.1

Normal Distribution8.3

9.1

9.2

9.2

9.2

Atmospheric pressure

Isobars9.2 Wednesday 2/23/11

Isobars9.2 Forecast for Sunday 2/27/11

Isotherms

Species Density of Birds9.2

9.2

9.2

9.2Revenue from Airline Tickets

9.3

9.3

34

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9.3

9.2Revenue from Airline Tickets

3500

yx

R

20011

xy

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