Scientists have found a relationship between the temperature and the height above a distant planet's surface.  T(h), given below, is the temperature in Celsius at a height of  h kilometers above the planet's surface. The relationship is as follows. T(h) = 38 - 1.25h Complete the following statements. Let T−1 be the inverse function of T.Take x to be an output of the function T. (a) Which statement best describes T^-1(x)?     The reciprocal of the temperature (in degrees Celsius) at a height of x kilometers.     The height above the surface (in kilometers) when the temperature is x degrees Celsius.     The temperature (in degrees Celsius) at a height of x kilometers.     The ratio of the temperature (in degrees Celsius) to the number of kilometers, x.   (b) T^-1(x)=   (c) T^-1(25)=

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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.