Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 5 mi directly out in the water from a point B on shore. Point B is 12 mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.25 times the rate over land. Toward what point S downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A? 12-x 12 Total energy = (Energy rate over water) • (Distance over water) + (Energy rate over land) • (Distance over land) Point S isO miles away from point A. (Type an integer or decimal rounded to three decimal places as needed.)

Q: A snowplow has a maximum speed of 45 mph on a dry highway. It's maximum speed decreases by 0.9 mph…

A: The above model can be written in a linear equation of x and y. By substituting y=0, it can be…

Q: oblem: After being built, a car must be painted. The revenue, R, in dollars when x cars are painted…

A: In this question, concept of average and instantaneous change is applied. Using the slope formula…

Q: Some birds fly more slowly over water than over land. A bird flies at constant rate of 6 km/h over…

A:

Q: If a (small) weight w is suspended from a spring, the length L of the stretched spring is a linear…

A:

Q: When you use a spray can and press the valve at the top, you decrease the pressure of the gas in the…

A: according to given data P1V1=P2V2                                                 ..1 so, by using…

Q: Station A is at 130.6 km to the west of station B. At 11:00 am, a car left station B north at a…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.