Problem 1: Using differentials, approximate the change in length of the space diagonal of a parallelepiped of length, width, and height given to be 2 units, 3 units, and 5 units, respectively, when the length increased by 0.1 unit and the width decreased by 0.2 unit, while keeping the height constant.

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Q: In 1619, the German astronomer Johannes Kepler showed that the square of the period of a planet (how…

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Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 494 mi/h and…

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Q: For an object moving in a circular orbit under gravity, the radius of the orbit is inversely…

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