The amount of heat H (in joules) required to convert one gram of water into vapor is linearly related to the temperature T (in C) of the atmosphere. At 10C this conversion requires 2480 joules, and each increase in temperature of 15C lowers the amount of heat needed by 40 joules. Express H in terms of T.

Q: The volume of a right circular cylinder varies jointly as the height and the square of radius of the…

A: Given that:  Volume(V)=58096.28 cubic yards,r=29yards,h=22yardsand the right circular cylinder. A…

Q: A 500 gallon oil spill undergoes a cleanup process. The company hired to clean the spill can remove…

A: It is given that 15% of the spilled oil gets cleaned and initially there are 500 gallon of oil is…

Q: It takes 15 minutes to preheat your oven to 325 degrees. For an oven preheated to 325 degrees, the…

A:

Q: a city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: Assume a box has a square base and the length of a side of the base is equal to twice the height of…

A: Volume of cuboid= lbh  surface Area=2(lb+bh+hl)

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.