一道外国的大学数学题,麻烦帮下忙,谢谢了

明天需要用到,麻烦帮帮忙,谢谢了!
2025-02-28 03:59:52
推荐回答(2个)
回答1:

At x meters (x in [0, 4]), the area of cross section is πr²

When the length is dx meters, the volume is πr²dx m³, the mass is ρ(x)πr²dx

See picture for the rest:


不小心漏了0.01π,结果应当乘以0.01π

回答2:

M=∫(0,4)0.01π(3+√(2x))dx=0.12π+0.01(√2)π(2/3)4^(3/2)=0.12π+0.16(√2)π/3