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…

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

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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…

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.