设[img=335x39]180307330358786.png[/img],画出函数[img=34x25]180307330bcd082.png[/img]和[img=33x25]1803073313a8ced.png[/img]的图形并填实两条曲线之间的区域.
A: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{2→{1}}]
B: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{1→{2}}]
C: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{2→1}]
D: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{1→2}]
A: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{2→{1}}]
B: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{1→{2}}]
C: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{2→1}]
D: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{1→2}]
举一反三
- 求微分方程[img=634x60]17da653955cf9e7.png[/img]的特解。 ( ) A: sin(2*x)/3 - cos(x) - cos(x)/3 B: sin(2*x)/3 - cos(x) - sin(x)/3 C: cos(2*x)/3 - cos(x) - sin(x)/3 D: sin(2*x)/3 - sin(x) - sin(x)/3
- 求函数[img=107x38]17da6537b12a2e0.png[/img]的导数; ( ) A: 2*x*sin(1/x) - sin(1/x) B: 2xsin(1/x) - cos(1/x) C: 2*x*sin(1/x) - cos(1/x) D: 2*x*cos(1/x) - cos(1/x)
- 求微分方程[img=364x55]17da65386dfd612.png[/img]的通解; ( ) A: - cos(2*x)*exp(x)*(x/4 - sin(4*x)/16) + C23*cos(2*x)*exp(x) + C24*sin(2*x)*exp(x) B: (3*sin(2*x)*exp(x))/32 - (sin(6*x)*exp(x))/32 - cos(2*x)*exp(x)*(x/4 - sin(4*x)/16) + C23*cos(2*x)*exp(x) + C24*sin(2*x)*exp(x) C: - sin(4*x)/16) + C23*cos(2*x)*exp(x) + C24*sin(2*x)*exp(x) D: (sin(6*x)*exp(x))/32 - cos(2*x)*exp(x)*(x/4 - sin(4*x)/16) + C23*cos(2*x)*exp(x) + C24*sin(2*x)*exp(x)
- 求微分方程[img=143x21]17da5f14490e50e.png[/img]的通解,实验命令为(). A: dsolve(D2y-2*Dy+5*y=sin(2*x),x)ans =exp(x)*sin(2*x)*C2+exp(x)*cos(2*x)*C1+1/17*sin(2*x)+4/17*cos(2*x) B: dsolve('D2y-2*Dy+5*y=sin(2*x)','x')ans =cos(2*x)*(sin(4*x)/17 - cos(4*x)/68 + 1/4) - sin(2*x)*(cos(4*x)/17 + sin(4*x)/68) + C1*cos(2*x)*exp(x) - C2*sin(2*x)*exp(x) C: dsolve(D2y-2*Dy+5*y=sin(2*x),'x','y')ans =exp(x)*sin(2*x)*C2+exp(x)*cos(2*x)*C1+1/17*sin(2*x)+4/17*cos(2*x)
- 常微分方程[img=243x26]1802e4d57c1aad8.png[/img]的解为: A: exp(-x)*sin(3^(1/2)*x)*C2+exp(-x)*cos(3^(1/2)*x)*C1-1/4*cos(2*x),C1、C2为任意常数 B: exp(-2x)*cos(3^(1/2)*x)*C2+exp(-2x)*cos(3^(1/2)*x)*C1-1/4*sin(2*x),C1、C2为任意常数 C: exp(-3x)*sin(3^(1/2)*x)*C2+exp(-3x)*sin(3^(1/2)*x)*C1-1/4*sin(2*x),C1、C2为任意常数 D: exp(-4x)*sin(3^(1/2)*x)*C2-exp(-4x)*cos(3^(1/2)*x)*C1-1/4*cos(2*x),C1、C2为任意常数