求圆 [tex=5.5x1.286]1dhPauTZum+c31XeDU5dG7OYwZv6hCgzxJo0OOzeOUs=[/tex] [tex=3.0x1.286]Nl/NBNyCFpk+ZEqEEQBIIA==[/tex] 的弧微分.
举一反三
- 计算曲线积分[tex=6.357x2.214]Cmu/6l1wSZfSLvmLYKmekSbaEg/t+BtLitRUrR+2uOTbN5dBxUbWKrs2OO4h8DCw[/tex],其中[tex=1.214x1.286]Lfmnn6H4LJwITgrb9FkJsw==[/tex] [tex=5.5x1.286]1dhPauTZum+c31XeDU5dG7OYwZv6hCgzxJo0OOzeOUs=[/tex][tex=3.0x1.286]Nl/NBNyCFpk+ZEqEEQBIIA==[/tex](如图)[img=172x136]178e3a2b0e28c24.png[/img]
- 已知星形线[tex=6.143x3.357]fnpmC2J6JmQBLyo5NmGAz3jVcwYZMZw0YQ/CFBy2Wa9zdHPEw+mDDe3w37nZYpizPVMMc+bi1LESRCDg++jwWlPxJauQ9ZLONOeVqyXGqDo=[/tex][tex=3.0x1.286]Nl/NBNyCFpk+ZEqEEQBIIA==[/tex],求:(1)它所围的面积;(2)它的弧长;(3)它绕x轴旋转而成的旋转体的表面积。
- 讨论函数[tex=7.0x1.286]p6KqQpJffsB+VtqcKPApn9KPYN5KFXlWZN9SE3K6x+I=[/tex][tex=3.0x1.286]Nl/NBNyCFpk+ZEqEEQBIIA==[/tex]有几个零点?
- 方程[tex=5.643x1.286]aVDq0ZDk/4AhaTPz9kFgv7ZTYRUwumGJ4Bd2nyX2HUg=[/tex][tex=3.0x1.286]Nl/NBNyCFpk+ZEqEEQBIIA==[/tex]有几个实根?
- 求球体[tex=7.929x1.286]QwY3CbnOdl+ukx2Eamho1CldF4Lp03XfcD+nKaILO90vTJr0WoFP6Gr0mGdIB0bq[/tex]被圆柱面[tex=6.0x1.286]9bZQpSYifgquBYPcQEiZp7qrLQoAvphlK0Cd+MZ/5MA=[/tex][tex=3.0x1.286]Nl/NBNyCFpk+ZEqEEQBIIA==[/tex]所截得的(含在圆柱面内的部分)立体的体积 .