Word Count : 399

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(क) वक्र (y = 4x^2) और रेखा (x = 4) के बीच घनत्व (\delta(x, y) = y) वाली पतली शीट का गुरुत्वकेंद्र ज्ञात करें। सबसे पहले, मास (M) ज्ञात करें: [ M = \int_0^4 \delta(x, y) , ds ] जहाँ (ds = \sqrt{1 + (y')^2} , dx), और (y' = \frac{dy}{dx} = 8x)। [ ds = \sqrt{1 + (8x)^2} , dx = \sqrt{1 + 64x^2} , _____ ______ ____ __________ ______ ______ ______ ___ ________ _________ __________.
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