Prove the following statements: (a) For all x, y = R\{0}, √x² + y² ‡ √√x³+y³. (b) Suppose x, y > 0. Then xy ≥ y or x² +
Posted: Sun Jul 10, 2022 11:12 am
Prove the following statements: (a) For all x, y = R\{0}, √x² + y² ‡ √√x³+y³. (b) Suppose x, y > 0. Then xy ≥ y or x² + y² ≥ 2x²y. Hint: Consider y²(x − 1)² + x²(y − 1)².