Gas law calculations Consider the Ideal Gas Law PV = kT, where k >0 is a constant. Solve this equation for V in terms of P and T.a. Determine the rate of change of the volume with respect to the pressure at constant temperature. Interpret the result.b. Determine the rate of change of the volume with respect to thetemperature at constant pressure. Interpret the result.c. Assuming k = 1, draw several level curves of the volume function, and interpret the results

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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.