Alan is walking. D (t), given below, is his distance in kilometers from Newbury Heights after t hours of walking D(t) = 12.8 - 41 Complete the following statements. Let D- be the inverse function of D. Take x to be an output of the function D. (a) Which statement best describes D-(x)? ? O His distance from Newbury Heights (in kilometers) after he has walked x hours. The ratio of the amount of time he has walked (in hours) to his distance from Newbury Heights (in kilometers), x. The reciprocal of his distance from Newbury Heights (in kilometers) after walking x hours. The amount of time he has walked (in hours) when he is x kilometers from Newbury Heights. (b) D' (x) = %3D (c) D (8.4) = 0

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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.