dy Consider the differential equation dx sin ¤ for which the solution is y = f (x). Let f (0) = 1. Which of the following statements about the graph of f (x) are true? I. f (x) has a vertical tangent when y = 0. II. f (x) has a horizontal tangent when x = 0. III. The slope of f (x) at the point (0, 1) is 1. O I only Il only O I and II only O I, II, and IIl

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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.