A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 4 ft/min. What is the rate in the change of area at the instant that the radius is 10 ft? Write an equation relating the area of a circle, A, and the radius of the circle, r. (Type an exact answer, usingz as needed.) Differentiate both sides of the equation with respect to t. dA dr dt dt (Type an exact answer, using x as needed. Type an expression using r as the variable.) The rate of change of the area is (Type an exact answer in terms of x.) f / min. f / min. ft/min. ft.

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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.