A right triangle in the first quadrant has the coordinate axes as sides, and the hypotenuse passes through the point (1, 8). Find the vertices of the triangle such that the length of the hypotenuse is minimum

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A: At t = 1.04 hour, they are closests to each other. Minimum distance between them is 192.07 km.

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A: This question is based on application of derivative.

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Q: A rectangular lot has a perimeter of 80m. If its lot area is to be maximized, what is its length?

A:

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A: Topic :- Application of Derivative

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A: The solution is given in the next steps.

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.