已知 $L$ 为内摆线 $x^{2/3} + y^{2/3} = a^{2/3} (a > 0)$ 的弧,计算 $\int_{L} (x^{4/3} + y^{4/3})\, ds = (\quad)$
4.设L为椭圆(x^2)/(4)+(y^2)/(3)=1,其周长为a,则oint_(L)(3x^2+4y^2)ds=____.4.设L为椭圆$\frac{x^{
1.计算:(3x+y+2)(3x-y-2).2.已知(3x+y+2)(3x-y-2).求(a+b-c)²。3.设x>0,且(3x+y+2)(3x-y-2).求(
例 计算 int_(L)(x^2+3y)dx+(y^2-x)dy,其中L为上半圆周 y=sqrt(4x-x^2) 从O(0,0)到A(4,0).例 计算 $\i
(1)((x, y)|x≠0, y≠0); (2)((x, y)|1
26.简答题证明int_(L)(3x^2+2xy^3)dx+(3x^2y^2+2y)dy与积分路径无关,并求int_((-2,-1))^(3,0)(3x^2+2
(x,y,z)=(x)^3+4(y)^3+4(z)^2,则(x,y,z)=(x)^3+4(y)^3+4(z)^2()。(x,y,z)=(x)^3+4(y)^3+
3.已知两个线性变换-|||- ) (x)_(1)=2(y)_(1)+ (y)_(3) (x)_(2)=-2(y)_(1)+3(y)_(2)+2(y)_(3
3.已知两个线性变换-|||- ) (x)_(1)=2(y)_(1)+(y)_(3), (x)_(2)=-2(y)_(1)+3(y)_(2)+2(y)_(3)
已知函数 =(x)^3y+3(x)^2(y)^2-x(y)^3 ,则 =(x)^3y+3(x)^2(y)^2-x(y)^3 ( ) A =(x)^3y+3
设直线L:{x+3y+2z+1=0)2x-y-10z+3=0).,平面π为4x-2y+z-2=0,则( )A. L平行于πB. L在π上C. L垂直于πD. L