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Use derivatives to find two positive numbers a and b such that a 2 + b 2 = 1 and such that 2a + 3b

Use derivatives to find two positive numbers a and b such that a² + b ² = 1 and such that 2a + 3b is as large as possible.

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Stepwise Solution Step 1 Let z 2a3b Step 2 Given that ab1 So b 1a Step 3 Thus z2a 31a ... blur-text-image

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