QUESTION 10 The volume of a sphere is given by V=(4/3)nr³. The rate of change of the volume as the radius changes is: dv =2nr „2dr O dt dt dv = 12nr O dt dr dt dv =4 r 2 dr O dt dt

Q: An outdoor decorative pond in the shape of a hemispherical tank is to be filled with water pumped…

A:

Q: Water pumped out of a cylindrical container at a rate of 8 cubic meters per second. If the radius of…

A:

Q: The radius r of a right circular cylinder with a fixed height of 48 inches is increasing. Find the…

A: Given that, Height of circular cylinder is (h) = 48 inches = 12 feet Radius increases from 3 feet to…

Q: Volume

A: Answer and explanation is given below...

Q: Lake Ontario has a volume of approximately V =1600 km3. It is heavily polluted by a certain…

A: Rate of change of mas of pollutants in the Lake: dMdt=cinQin-cQout where c is concentration of…

Q: The radius of a balloon is increasing at the rate of 10cm/sec. At what rate is the surface area of…

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.