If a cup of coffee has temperature 95°C in a room where the temperature is 20°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 20 + 75e¬t/50 What is the average temperature (in degrees Celsius) of the coffee during the first half hour? Average temperature degrees Celsius %3D

Q: A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing…

A: Given:- A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is…

Q: A cup of hot coffee initially at 100°C cools to 40°C in half an hour while sitting in a room of…

A:

Q: A culture of bacteria is known to grow at a rate proportional to the present amount. After one hour…

A:

Q: A 4 m long ladder is resting against a vertical wall when it suddenly starts to slide down the wall.…

A: This question can be solved using the concept of rate of change of quantities.

Q: II. Newton's Law of Cooling A heated metal is placed in cooler surroundings. Its rate of cooling is…

A: Use formula of Newton's law of cooling

Q: 11. Martha Stewart is designing a box for her cat to sleep in. It has 4 sides and a bottom but no…

A: We will use the basic knowledge of the application of differentiation and the surface area and…

Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P…

A:

Q: do mgl (i-coso)= E %3D

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.