求曲线Z=X^2+Y^2与Z=2-根号(X^2+Y^2)所围立体体积
问题描述:
求曲线Z=X^2+Y^2与Z=2-根号(X^2+Y^2)所围立体体积
答
x² + y² = zz = 2 - √(x² + y²) ==> √(x² + y²) = 2 - z ==> x² + y² = (2 - z)² = 4 - 4z + z²z = 4 - 4z + z² ==> z² - 5z + 4 = 0 ==> (z - 4)(z...