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TMUA Paper 1 - Question PreviewConstrained optimisation
Medium
Untimed
Q1
Let $x$ and $y$ be real numbers such that $x^2 + y^2 = 20$. What is the maximum possible value of $4x + 3y$?
Strategy hint
Think about the line 4x + 3y = k moving outward until it just touches the circle.
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Find f'(x)
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