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Home » You’ll Be Blown Away: How This Simple Backpack Drawing Blast Screams Art Magic! - Get link 4share

You’ll Be Blown Away: How This Simple Backpack Drawing Blast Screams Art Magic! - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Thus, the number of such functions is equal to the number of real constants $ k $, which is uncountably infinite. But if we are to count **distinct functions**, and assuming only linear solutions are acceptable, the number is infinite.

📌 However, if the problem is interpreted as asking for the number of **continuous** solutions, then the only such functions are linear: $ f(x) = kx $, and there are infinitely many such functions (one for each real $ k $).

📌 Hence, the number of such functions is $ \boxed{\infty} $, assuming no further restrictions.

📌 Question: Let $ x, y, z $ be positive real numbers such that $ x + y + z = 3 $. Find the minimum value of

📌 \frac{x^2}{y + z} + \frac{y^2}{z + x} + \frac{z^2}{x + y}.

📌 Solution: We are to minimize

📌 under the constraint $ x + y + z = 3 $.

📌 Note that $ y + z = 3 - x $, $ z + x = 3 - y $, $ x + y = 3 - z $. So the expression becomes:

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