• 2022-06-08 问题

    \(\int_{-\sqrt{2}}^{\sqrt{2}}{\sqrt{8-2 { { y}^{2}}}dy}\)=( )。 A: \(\sqrt{2}(\pi -2)\) B: \(\sqrt{2}(\pi +2)\) C: \(2\sqrt{2}(\pi +2)\) D: \(2\sqrt{2}(\pi -2)\)

    \(\int_{-\sqrt{2}}^{\sqrt{2}}{\sqrt{8-2 { { y}^{2}}}dy}\)=( )。 A: \(\sqrt{2}(\pi -2)\) B: \(\sqrt{2}(\pi +2)\) C: \(2\sqrt{2}(\pi +2)\) D: \(2\sqrt{2}(\pi -2)\)

  • 2022-07-23 问题

    Matlab中与linspace(0,2*pi,51) 等价的命令是【 】 A: 0:2*pi:51 B: 0:51:2*pi C: 0:0.1:2*pi D: 0:pi/25:2*pi

    Matlab中与linspace(0,2*pi,51) 等价的命令是【 】 A: 0:2*pi:51 B: 0:51:2*pi C: 0:0.1:2*pi D: 0:pi/25:2*pi

  • 2022-06-03 问题

    求函数[img=173x42]17da65390bf2806.png[/img]的导数; ( ) A: tan(pi/4 + x/2) B: (tan(pi/4 + x/2)^2/2 ) /tan(pi/4 ) C: (tan(pi/4 + x/2)^2/2 + 1/2) D: (tan(pi/4 + x/2)^2/2 + 1/2) /tan(pi/4 + x/2)

    求函数[img=173x42]17da65390bf2806.png[/img]的导数; ( ) A: tan(pi/4 + x/2) B: (tan(pi/4 + x/2)^2/2 ) /tan(pi/4 ) C: (tan(pi/4 + x/2)^2/2 + 1/2) D: (tan(pi/4 + x/2)^2/2 + 1/2) /tan(pi/4 + x/2)

  • 2022-06-01 问题

    求定积分[img=165x50]17da65381a63c9b.png[/img]; ( ) A: (exp(6*pi) - 1)/(5*exp(2*pi)) B: (exp(6*pi) - 1)*(5*exp(2*pi)) C: (exp(6*pi) - 1)/(exp(2*pi)) D: (exp(6*pi) - 1)+(5*exp(2*pi))

    求定积分[img=165x50]17da65381a63c9b.png[/img]; ( ) A: (exp(6*pi) - 1)/(5*exp(2*pi)) B: (exp(6*pi) - 1)*(5*exp(2*pi)) C: (exp(6*pi) - 1)/(exp(2*pi)) D: (exp(6*pi) - 1)+(5*exp(2*pi))

  • 2022-06-17 问题

    函数\(f(x) = x^2,\; x \in [-\pi,\pi]\)的Fourier级数为 A: \(\frac{\pi^2}{3}+4\Sigma_{n=1}^{\infty} \frac{(-1)^n}{n^2} \sin nx ,\; x \in [-\pi,\pi]\) B: \(\frac{\pi^2}{3}+4\Sigma_{n=1}^{\infty} \frac{(-1)^n}{n^2} \cos nx ,\; x \in [-\pi,\pi]\) C: \(\frac{2\pi^2}{3}+4\Sigma_{n=1}^{\infty} \frac{(-1)^n}{n^2} \sin nx ,\; x \in [-\pi,\pi]\) D: \(\frac{2\pi^2}{3}+4\Sigma_{n=1}^{\infty} \frac{(-1)^n}{n^2} \cos nx ,\; x \in [-\pi,\pi]\)

    函数\(f(x) = x^2,\; x \in [-\pi,\pi]\)的Fourier级数为 A: \(\frac{\pi^2}{3}+4\Sigma_{n=1}^{\infty} \frac{(-1)^n}{n^2} \sin nx ,\; x \in [-\pi,\pi]\) B: \(\frac{\pi^2}{3}+4\Sigma_{n=1}^{\infty} \frac{(-1)^n}{n^2} \cos nx ,\; x \in [-\pi,\pi]\) C: \(\frac{2\pi^2}{3}+4\Sigma_{n=1}^{\infty} \frac{(-1)^n}{n^2} \sin nx ,\; x \in [-\pi,\pi]\) D: \(\frac{2\pi^2}{3}+4\Sigma_{n=1}^{\infty} \frac{(-1)^n}{n^2} \cos nx ,\; x \in [-\pi,\pi]\)

  • 2022-06-03 问题

    函数$f(x) =sin^3 x, x \in [0,2 \pi]$的单调递减区间为 A: $[\frac{\pi}{2},\frac{3}{2} \pi]$ B: $[\frac{3}{2} \pi,2 \pi]$ C: $[0,\frac{\pi}{2}]$ D: $[0,2 \pi]$

    函数$f(x) =sin^3 x, x \in [0,2 \pi]$的单调递减区间为 A: $[\frac{\pi}{2},\frac{3}{2} \pi]$ B: $[\frac{3}{2} \pi,2 \pi]$ C: $[0,\frac{\pi}{2}]$ D: $[0,2 \pi]$

  • 2022-06-19 问题

    \(已知二元函数f(x,y)=\sin{x^2y},则\frac{\partial f}{\partial x}(1,\pi)=(\,)\) A: \(\frac{\pi}{2}\) B: \(2\pi\) C: \(-2\pi\) D: \(-\frac{\pi}{2}\)

    \(已知二元函数f(x,y)=\sin{x^2y},则\frac{\partial f}{\partial x}(1,\pi)=(\,)\) A: \(\frac{\pi}{2}\) B: \(2\pi\) C: \(-2\pi\) D: \(-\frac{\pi}{2}\)

  • 2021-04-14 问题

    优学院: 曲面(xcosz+ycosx-dfrac {pi} {2}z=dfrac {pi} {2})在点((dfrac {pi} {2},1-dfrac {pi} {2},0))处的切平面方程是( )

    优学院: 曲面(xcosz+ycosx-dfrac {pi} {2}z=dfrac {pi} {2})在点((dfrac {pi} {2},1-dfrac {pi} {2},0))处的切平面方程是( )

  • 2022-05-26 问题

    曲线$x^2 + (y-5)^2 = 16 $绕 X轴旋转得的旋转体体积为()。 A: $40{\pi}^2$ B: $80{\pi}^2$ C: $ 160{\pi}^2$ D: $320{\pi}^2$

    曲线$x^2 + (y-5)^2 = 16 $绕 X轴旋转得的旋转体体积为()。 A: $40{\pi}^2$ B: $80{\pi}^2$ C: $ 160{\pi}^2$ D: $320{\pi}^2$

  • 2023-12-23 问题

    x属于(0,pi/2),sinx/x≥2/pi

    x属于(0,pi/2),sinx/x≥2/pi

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