Given f(x) = 2x3 − 5x2 − 28x + 15, a.Find all the zeros of f(x) b. Identify the x-intercepts of the graph of f c. Determine the y-intercept of the graph of f d. Graph y = f(x) e. Solve the inequality 2x3 − 5x2 − 28x+ 15 <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.