• 2022-06-15
    函数y=arcsin(x-3)的自然定义域是( )
    A: [-1, 1]
    B: [1, 3]
    C: [2, 4]
    D: (2, 4)
  • C

    内容

    • 0

      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: $y={{C}_{1}}x+{{C}_{2}}x{{e}^{x}}-(\frac{1}{2}{{x}^{3}}+{{x}^{2}})$

    • 1

      函数\( y = - {x^4} + 2{x^2} \)的极大值为( ) A: 4 B: 3 C: 2 D: 1

    • 2

      已知函数y=f(x)的观测数据f(1)=1, f(2)=4, f(3)=5, 从下面选项中选出lagrange插值基函数 A: 1/2(x-2)(x-3) B: (x-1)(x-3) C: (1-x)(x-3) D: 1/2 (x-1)(x-2)

    • 3

      函数\(y = {\left( {\arcsin x} \right)^2}\)的导数为( ). A: \(2\arcsin x{1 \over {\sqrt {1 - {x^2}} }}\) B: \( - 2\arcsin x{1 \over {\sqrt {1 - {x^2}} }}\) C: \(2\arcsin x{1 \over {\sqrt {1 + {x^2}} }}\) D: \( - 2\arcsin x{1 \over {\sqrt {1 + {x^2}} }}\)

    • 4

      设二维随机变量(X,Y)的联合密度函数如下,则X与Y相互独立的有() A: (1),(2) B: (1),(2),(3) C: (1),(2),(4) D: (3),(4)