曲线y=ex,y=e-x和直线x=1围成的图形面积是( )
A: e-e-1
B: e+e-1
C: e-e-1-2
D: e+e-1-2
A: e-e-1
B: e+e-1
C: e-e-1-2
D: e+e-1-2
举一反三
- 曲线y=xln(e+1/x)(x>0)的渐近线为()。 A: x=1/e,y=x+1/e B: x=-1/e,y=x+1/e C: x=1/e,y=x-1/e D: x=-1/e,y=x-1/e
- E(X)=1/2 , E(Y)=1/4 E(XY)= 1/4,则Cov(X,Y)= ____(a/b)
- 求方程$y\frac{{{d}^{2}}y}{d{{x}^{2}}}-(\frac{dy}{dx})^{2}=0$的通解: A: $y={{C}_{1}}{{e}^{-{{C}_{2}}x}}$ B: $y={{C}_{1}}{{e}^{-{{C}_{2}}{{x}^{2}}}}$ C: $y={{C}_{1}}x{{e}^{-{{C}_{2}}{{x}^{2}}}}$ D: $y={{C}_{1}}{{e}^{{{C}_{2}}x}}$
- 方程${{x}^{2}}{{y}^{''}}-(x+2)(x{{y}^{'}}-y)={{x}^{4}}$的通解是( ) A: $y={{C}_{1}}x+{{C}_{2}}{{e}^{x}}-(\frac{1}{2}{{x}^{3}}+{{x}^{2}})$ B: $y={{C}_{1}}x+{{C}_{2}}{{e}^{x}}-(\frac{1}{2}{{x}^{3}}+{{x}^{4}})$ C: $y={{C}_{1}}x+{{C}_{2}}x{{e}^{x}}-(\frac{1}{2}{{x}^{3}}+{{x}^{4}})$ D: $y={{C}_{1}}x+{{C}_{2}}x{{e}^{x}}-(\frac{1}{2}{{x}^{3}}+{{x}^{2}})$
- 设X与Y是随机变量,若E(X)=1,E(Y)=2,cov(X,Y)=1,则E(XY)=()。 A: 0 B: 1 C: 2 D: 3