Log in
Mathematics
1
answer
0
watching
71
views

In Example 1.3.4 we arrived at a model for the length of daylight (in hours) in Philadelphia on the day of the year:

Use this model to compare how the number of hours of daylight is increasing in Philadelphia on March 21 and May 21.

Watch
1
answer
0
watching
71
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Sixta Kovacek
Sixta KovacekLv2
13 May 2020

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share

Related questions

The city of New Orleans is located at latitude 30°N. Use Figure 9 to find a function that models the number of hours of daylight at New Orleans as a function of the time of year.

To check the accuracy of your model, use the fact that on March 31 the sun rises at 5:51 am and sets at 6:18 pm in New Orleans.

Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than over land because air generally rises over land and falls over water during the day. A bird with these tendencies is released from an island that is 5 km from the nearest point B on a straight shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. Points B and D are 13 km apart.

(a) In general, if it takes 1.4 times as much energy to fly over water as it does over land, to what point C should the bird fly in order to minimize the total energy expended in

returning to its nesting area?

(b) Let W and L denote the energy (in joules) per kilometre flown over water and land, respectively. What would a large value of the ratio W/L mean in terms of the bird’s

flight? What would a small value mean? Determine the ratio W/L corresponding to the minimum expenditure of energy.

(c) What should the value of W/L be in order for the bird to fly directly to its nesting area D? What should the value of W/L be for the bird to fly to B and then along the shore to D?

The table shows the number of people per day who died from SARS in Singapore at two-week intervals beginning on March 1, 2003.

  1. By using an argument similar to that in Example 4, estimate the number of people who died of SARS in Singapore between March 1 and May 24, 2003, using both left endpoints and right endpoints.

  2. How would you interpret the number of SARS deaths as an area under a curve?

Weekly leaderboard

Home
Homework Help 3,900,000
Mathematics 240,000
Start filling in the gaps now
Log in