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Let  x and y be real numbers such that  0 <= x <= 1 and 0 <= y <= 1. Find the maximum value of x^2 - y^2.

 Jul 12, 2021
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Answer: \(1\)

 

Solution:

You need y² to be as small as possible and x² to be as large as possible. You can set y to 0 to make y² as small as possible. You want x to be as big as it can possibly be, which happens to be 1, in this case. Doing the calulculations result in 1² - 0² = 1 - 0 = \(1\).

 Jul 12, 2021

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