(a) If A is the area of a circle with radius and the circleexpands as time passes, find dA/dt in terms of  dr/dt.(b) Suppose oil spills from a ruptured tanker and spreads ina circular pattern. If the radius of the oil spill increasesat a constant rate of 1m/s , how fast is the area of thespill increasing when the radius is 30 m?

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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.