已知根号x+2y=3;根号4x-2y=4求xy

9. 已知函数$z=z(x,y)$由${{z}^{3}}-3xyz={{a}^{3}}$确定，则$\frac{{{\partial }^{2}}z}{\partial x\partial y}=$（ ） A: $\frac{z({{z}^{4}}-2xy{{z}^{2}}-{{x}^{2}}{{y}^{2}})}{{{({{z}^{2}}-xy)}^{3}}}$ B: $\frac{z({{z}^{4}}-2xy{{z}^{2}}-xy)}{{{({{z}^{2}}-xy)}^{2}}}$ C: $\frac{z({{z}^{3}}-2xyz-{{x}^{2}}{{y}^{2}})}{{{({{z}^{2}}-xy)}^{3}}}$ D: $\frac{z({{z}^{3}}-2xy{{z}^{2}}-{{x}^{2}}y)}{{{({{z}^{2}}-xy)}^{3}}}$

（1）（-2x^2y^3)^2乘（xy）^3(2)(2a+3b)(3a-2b)(3)5x^3(x+4)(x-4)(4)(2x-y-3)^2(5)(2a)^3*b^4/(-12a^3b^2)(6)(6x^2y^3-8x^3y^2z)/8x^2y^3

D(X)=4，D(Y)=9，cov(X,Y)=3，则D（X-Y）=_____.ρXY=________。

设(X,Y)的联合密度为[img=246x61]17de89815546a18.png[/img]，则EY=_____, E(XY)=_____. A: EY=4/5, E(XY)=7/5 B: EY=7/5, E(XY)=2/5 C: EY=3/5, E(XY)=1/2 D: EY=2/3, E(XY)=2/5

\(y' = {x^3}{y^3} + xy\)不是一阶线性微分方程。

设随机变量X,Y有E(X)= E(Y)=0, E(XY)= -1/8, D(X)= D(Y)=3/4, 则ρXY =____(a/b)

设\(z = u{e^v}\)，\(u = {x^2} + {y^2}\)，\(v = xy\)，则\( { { \partial z} \over {\partial y}}=\)（ ）。 A: \({e^{xy}}({x}y^2 + {x^3} + 2y)\) B: \({e^{xy}}({x^2}y + {x^3} + 2y)\) C: \({e^{xy}}({x}y^2 + {x^3} + 2x)\) D: \({e^{xy}}({x}y+ {x^3} + 2y)\)

分解因式()x()3()y()-()2()x()2()y()2()+()xy()3()正确的是A.()xy()(()x()+()y())()2()B.()xy()(()x()2()﹣()2()xy()+()y()2())()C.()xy()(()x()2()+2()xy()﹣()y()2())()D.()xy()(()x()﹣()y())()2

已知x+y=3，xy=12，求