Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-MinimaMedium2 minPYQ_2024

MathematicsMediumnumerical

Let $A$ be the region enclosed by the parabola $y^{2} = 2 x$ and the line $x = 24$ . Then the maximum area of the rectangle inscribed in the region $A$ is________

Answer:

128.00

Solution:

$A = 2 (24 - \frac{b ^{2}}{2}) \cdot b \frac{d A}{d b} = 0 \Rightarrow b = 4 A = 2 (24 - 8) 4 = 128$

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima

⏱ 2mℹ️ Source: PYQ_2024

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