3. Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain commodity satisfy the demand equation 2p 3+x 2=24,975. Determine the rate at which sales are changing at a time when x=135​, p=15​, and the price is falling at the rate of ​$.60 per week. The rate at which sales are changing is nothing thousand units per week.

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A: F

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A: Solution

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.