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থিম নির্বাচন

আপনার পছন্দের থিম বেছে নিন।

If \(y\) is between 0 and 1, which of the following increases as \(y\) increases? i. \((1-y^2)\) ii. \((y-1)\) iii. \(1/y^2\)

A. I and II
B. II and III
C. II only
D. I, II, and III
E. none of these
Explanation: If \(0 < y < 1\), as \(y\) increases: i. \(y^2\) increases, so \((1-y^2)\) decreases. ii. \((y-1)\) increases (since the slope is 1). iii. \(y^2\) increases, so \(\frac{1}{y^2}\) decreases. \(\therefore\) Only \((y-1)\) increases as \(y\) increases. The provided answer is C, which is II only.