A wooden beam has a rectangular cross section of height h in. and width w in. The strength S of the beam is directly proportional to its width and the square of its height. What are the dimensions of the cross section of the strongest beam that can be cut from a round log of diameter d = 22 in.? Hint: Use the given formula for S, where k is a constant of proportionality. (Round your answers to one decimal place.) S = kh2w

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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.