求 [tex=6.643x1.357]lBXXZYMMrxJ2+/5vAU9EveuCUGC7idFoCcnB5gP3/a+fFy5aEetdIV19+G/AHykW[/tex] 其中 [tex=6.929x1.643]PotqHspab5K47uxBX8naLhh8RkzWkccOoHuAOvS8oM8=[/tex]当 [tex=1.786x1.357]g9AL+3L6kP+HWmfiTEuFHw==[/tex]等于什么时, [tex=7.643x1.357]lBXXZYMMrxJ2+/5vAU9EveuCUGC7idFoCcnB5gP3/a809lw9aPY6tVu04+ERU74p[/tex] ?
求 [tex=6.643x1.357]lBXXZYMMrxJ2+/5vAU9EveuCUGC7idFoCcnB5gP3/a+fFy5aEetdIV19+G/AHykW[/tex] 其中 [tex=6.929x1.643]PotqHspab5K47uxBX8naLhh8RkzWkccOoHuAOvS8oM8=[/tex]当 [tex=1.786x1.357]g9AL+3L6kP+HWmfiTEuFHw==[/tex]等于什么时, [tex=7.643x1.357]lBXXZYMMrxJ2+/5vAU9EveuCUGC7idFoCcnB5gP3/a809lw9aPY6tVu04+ERU74p[/tex] ?
[tex=1.071x1.286]7iehsWIygXpfz4a+qcISBg==[/tex][tex=5.143x1.357]lBXXZYMMrxJ2+/5vAU9EvTZ4df/eD19GKvyhOXpnET+fad1zL0zHY+1m9KCufneW[/tex][tex=17.857x1.286]JHY5I6YR/N/UnLt6DYQ6mDnGRRm4qbMPIcdwLZJi5ScKTi/eV5RtxYjXqCAgEYO+UfB04J1H976M8bEeAMtfCRdHYMc3kQqnF/XYxTasMIM=[/tex][tex=1.286x1.286]zVeWJ89c297GVm9h9tvXag==[/tex][tex=6.643x1.357]lBXXZYMMrxJ2+/5vAU9EvTC1GvGT6EVUK6IJIKWUkHfjie5XPS2WdDBnTRwH2ZM7[/tex]
[tex=1.071x1.286]7iehsWIygXpfz4a+qcISBg==[/tex][tex=5.143x1.357]lBXXZYMMrxJ2+/5vAU9EvTZ4df/eD19GKvyhOXpnET+fad1zL0zHY+1m9KCufneW[/tex][tex=17.857x1.286]JHY5I6YR/N/UnLt6DYQ6mDnGRRm4qbMPIcdwLZJi5ScKTi/eV5RtxYjXqCAgEYO+UfB04J1H976M8bEeAMtfCRdHYMc3kQqnF/XYxTasMIM=[/tex][tex=1.286x1.286]zVeWJ89c297GVm9h9tvXag==[/tex][tex=6.643x1.357]lBXXZYMMrxJ2+/5vAU9EvTC1GvGT6EVUK6IJIKWUkHfjie5XPS2WdDBnTRwH2ZM7[/tex]
求[tex=6.143x1.357]lBXXZYMMrxJ2+/5vAU9EveeT2YX+/39nUly8Knc9w3hCOsgVMNAdlyTjySKkhyHy[/tex],其中[tex=6.643x1.643]PotqHspab5K47uxBX8naLif/+OUMHA4Sg6u04N1WmQk=[/tex]
求[tex=6.143x1.357]lBXXZYMMrxJ2+/5vAU9EveeT2YX+/39nUly8Knc9w3hCOsgVMNAdlyTjySKkhyHy[/tex],其中[tex=6.643x1.643]PotqHspab5K47uxBX8naLif/+OUMHA4Sg6u04N1WmQk=[/tex]
[tex=19.571x1.786]cOTkdZ6YnMlidrxQw4u0MN2FQMZ3idLbIGJVWQfDrJ/617LjTxsp4EwJHeIG7GLol+3cT4gwSrES8zUem9EAdevaV3pVgfvyZyPiKfZZJhNcOecXFA6HQ5Qj2qfnnAB2[/tex][tex=1.071x1.286]7iehsWIygXpfz4a+qcISBg==[/tex][tex=4.071x1.357]lBXXZYMMrxJ2+/5vAU9Evb2z1+9THMhkGBfbYDJrVCk=[/tex]
[tex=19.571x1.786]cOTkdZ6YnMlidrxQw4u0MN2FQMZ3idLbIGJVWQfDrJ/617LjTxsp4EwJHeIG7GLol+3cT4gwSrES8zUem9EAdevaV3pVgfvyZyPiKfZZJhNcOecXFA6HQ5Qj2qfnnAB2[/tex][tex=1.071x1.286]7iehsWIygXpfz4a+qcISBg==[/tex][tex=4.071x1.357]lBXXZYMMrxJ2+/5vAU9Evb2z1+9THMhkGBfbYDJrVCk=[/tex]
设[tex=9.429x1.357]QYDzzK7NkAKSt1sF4v9dEocW+h/TZxvEERkRVlhQMq4=[/tex]为常矢,求[tex=6.071x1.357]lBXXZYMMrxJ2+/5vAU9EvXsDg1A1EoeF0ZLSlzH4X/jHJilz1AmYUYWkGFdDYlVl[/tex].
设[tex=9.429x1.357]QYDzzK7NkAKSt1sF4v9dEocW+h/TZxvEERkRVlhQMq4=[/tex]为常矢,求[tex=6.071x1.357]lBXXZYMMrxJ2+/5vAU9EvXsDg1A1EoeF0ZLSlzH4X/jHJilz1AmYUYWkGFdDYlVl[/tex].
设 [tex=9.643x1.214]D8xp7x4MNPrRew+5Zs3hrndFyx1lvHXPB0VD1iySpIY=[/tex] 有二阶连续导数, 证明 [tex=6.286x1.357]lBXXZYMMrxJ2+/5vAU9EveuCUGC7idFoCcnB5gP3/a9IlbGejySOBv8eGmnmz4sk[/tex]
设 [tex=9.643x1.214]D8xp7x4MNPrRew+5Zs3hrndFyx1lvHXPB0VD1iySpIY=[/tex] 有二阶连续导数, 证明 [tex=6.286x1.357]lBXXZYMMrxJ2+/5vAU9EveuCUGC7idFoCcnB5gP3/a9IlbGejySOBv8eGmnmz4sk[/tex]
设[tex=4.571x1.0]2Eo8l1hDk0lAW4c+4rdzdg==[/tex],计算在点[tex=4.0x1.357]ONIRtovZx67B5pKEkoYsig==[/tex]处[tex=4.857x1.357]lBXXZYMMrxJ2+/5vAU9EveuCUGC7idFoCcnB5gP3/a8u0kwWovWgfQuNI/xRE5M4[/tex].
设[tex=4.571x1.0]2Eo8l1hDk0lAW4c+4rdzdg==[/tex],计算在点[tex=4.0x1.357]ONIRtovZx67B5pKEkoYsig==[/tex]处[tex=4.857x1.357]lBXXZYMMrxJ2+/5vAU9EveuCUGC7idFoCcnB5gP3/a8u0kwWovWgfQuNI/xRE5M4[/tex].
设[tex=2.357x1.214]zt4IBVnpuWJExgiIsqUCQw==[/tex]为[tex=1.286x1.0]Rag7iAuxW9MiA80Rn4COPA==[/tex]是两个子空间,记[tex=3.429x1.214]ZHMqG9NBPsaRO4JquXF3qw==[/tex][tex=10.0x1.357]S21OIog3uJ9955KP6hnSZS1Gls92CcI5/t0rIdi9+zK7mS19Jps1WKrjwMvjjXMqmGHXi/W7y0VQheKSSQj/dN5ELQaMzf7zatMWf1eYkPE=[/tex],证明:当[tex=5.286x1.357]0A8KCJn8+30hffgoAkI7aVTqV14IlHFbJQ+HMmZCeNk=[/tex]时,成立维数公式[tex=6.214x1.357]lBXXZYMMrxJ2+/5vAU9EvV9Yy2i2/lJqv779RcoU6sKcGHn9LVhDwDhyMFvxLy5c[/tex][tex=6.5x1.214]lBXXZYMMrxJ2+/5vAU9EvRf1s2lWHMEFEL4t0N+4zAVBaQzfyrgImypa7D5npu70Zm/OcoIWUrbrQhlV9eOeLA==[/tex] .
设[tex=2.357x1.214]zt4IBVnpuWJExgiIsqUCQw==[/tex]为[tex=1.286x1.0]Rag7iAuxW9MiA80Rn4COPA==[/tex]是两个子空间,记[tex=3.429x1.214]ZHMqG9NBPsaRO4JquXF3qw==[/tex][tex=10.0x1.357]S21OIog3uJ9955KP6hnSZS1Gls92CcI5/t0rIdi9+zK7mS19Jps1WKrjwMvjjXMqmGHXi/W7y0VQheKSSQj/dN5ELQaMzf7zatMWf1eYkPE=[/tex],证明:当[tex=5.286x1.357]0A8KCJn8+30hffgoAkI7aVTqV14IlHFbJQ+HMmZCeNk=[/tex]时,成立维数公式[tex=6.214x1.357]lBXXZYMMrxJ2+/5vAU9EvV9Yy2i2/lJqv779RcoU6sKcGHn9LVhDwDhyMFvxLy5c[/tex][tex=6.5x1.214]lBXXZYMMrxJ2+/5vAU9EvRf1s2lWHMEFEL4t0N+4zAVBaQzfyrgImypa7D5npu70Zm/OcoIWUrbrQhlV9eOeLA==[/tex] .
求向量场[tex=9.286x1.571]KnkXjOVEZhSTjeqswLI2Nm48JCiJQK/NYAogovLv8d9Pm9p3YTJjnzsjx8iFeKTi[/tex]在点[tex=4.143x1.357]KmioI5+v2TArMGA3bySF5g==[/tex]处的散度[tex=4.071x1.357]lBXXZYMMrxJ2+/5vAU9EvVsN0AufhlW821KhZsO7pvI=[/tex].
求向量场[tex=9.286x1.571]KnkXjOVEZhSTjeqswLI2Nm48JCiJQK/NYAogovLv8d9Pm9p3YTJjnzsjx8iFeKTi[/tex]在点[tex=4.143x1.357]KmioI5+v2TArMGA3bySF5g==[/tex]处的散度[tex=4.071x1.357]lBXXZYMMrxJ2+/5vAU9EvVsN0AufhlW821KhZsO7pvI=[/tex].
求 [tex=2.286x1.0]lBXXZYMMrxJ2+/5vAU9Eva75hupVDq5hJYuT/SSPtAU=[/tex] 在给定点的值 [tex=8.786x1.429]Ufh7uZIAjbogB4YrcNVOQ/iRddb1WKkiBwZSNnyakFVlYRmQXWm4Wl3CL6i4w/DUba3ZsGzxGBYJ1FSJ7bb5e0EbNAvZxjjHvrtQi+zTferxpYJ46X2Ovmg6Rdv2qObSUE/680c4Zn88z7bY5E/gLg==[/tex]在[tex=4.929x1.357]4OVG1YvMDqEP245CREDXtQ==[/tex]chu
求 [tex=2.286x1.0]lBXXZYMMrxJ2+/5vAU9Eva75hupVDq5hJYuT/SSPtAU=[/tex] 在给定点的值 [tex=8.786x1.429]Ufh7uZIAjbogB4YrcNVOQ/iRddb1WKkiBwZSNnyakFVlYRmQXWm4Wl3CL6i4w/DUba3ZsGzxGBYJ1FSJ7bb5e0EbNAvZxjjHvrtQi+zTferxpYJ46X2Ovmg6Rdv2qObSUE/680c4Zn88z7bY5E/gLg==[/tex]在[tex=4.929x1.357]4OVG1YvMDqEP245CREDXtQ==[/tex]chu