1. Assume f(r) is a twice continuously differentiable function on the closed interval (a, b), which vanishes at the endpoints, i.e., f(a) = f (b) = 0. Show that (b-a) 8.

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A: The solution are next step

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Q: Sketch: f(x) = [x + 2]] − 1, on [−2,2]

A: We have to draw the graph

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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.