Word Count : 440

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हमसे दीर्घवृत्तज (Ellipsoid) $$ \frac{x^2}{4}+\frac{y^2}{9}+\frac{z^2}{16}=1 $$ का आयतन निकालना है, और इसे द्विशः समाकलन (Double Integration) द्वारा हल करना है। --- ### 1. दीर्घवृत्तज की पहचान दिया गया समीकरण: $$ \frac{x^2}{2^2} + \frac{y^2}{3^2} + \frac{z^2}{4^2} = 1 $$ यह एक ellipsoid है जिसके अर्ध-अक्ष हैं: $$ a = 2, \quad b = 3, \quad c = 4 $$ --- ### 2. $z$ को $x$ और $y$ के रूप में लिखें समीकरण से: $$ _______ _______ ___ _________ __________ ___ ________ ____ _______.
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