The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are given in the following table. 1.25 70 50 0.75 t (hr) v (mi/hr) 0.25 0.5 1 1.5 1.75 2 50 50 60 60 55 60 75 a. Sketch a smooth curve passing through the data points. b. Find the midpoint Riemann sum approximation to the displacement on [0,2] with n= 2 andn=4. a. Choose the correct graph below. O A. B. C. OD. AV AV 80- 70 80- 70- 60- 50- 40- 80- 70- 80- 70- 60- 50- 40- 30- 60- 50- 40- 60- 50- 40 30 30- 30- 20 0 05 20- 20- 20- 0 0.5 1 1.5 0 0.5 1. 1.5 2 1. 1.5 0 0.5 1 1.5 LTh - dal ni- Click to select your answer(s).

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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.