第二学期高等数学_双语_A卷期末考试试卷.docVIP

第二学期期末考试试卷 试卷编号： ( A )卷 课程名称： 高等数学（双语） 适用班级： 学院： 系别： 考试日期： 专业： 班级： 学号： 姓名： 题号 一 二 三 四 五 六 七 八 九 十 总分 累分人 签名 题分 30 30 40 100 得分 填空题(每空 3分，共30 分) 得分 评阅人 1. , where is the ellipse . 2. , where is the region between and . 3. The general solution of is . 4. where and is the solid , . 5. If we change the order of integration, then 6. , where and . 7. . 8. The length of the curve between and is 9. 10. The distance from to the plane is (每题 6 分，共30 分) 得分 评阅人 Find the volume of the solid that results when the region is revolved about the line , where . Find the parametric equations of the line that is tangent to the curve of intersection of the surfaces and at the point . Find the volume of the solid in the first octant bounded by the surface and the coordinate planes. Test for convergence or divergence: Find the work done by the force field in moving a particle along the line segment from to . (每题 8 分，共40 分) 得分 评阅人 Find the convergence set for . 2. Find the maximum and minimum of on the ellipse . Find the center of mass of homogeneous solid inside , outside , below , and above . 4. Find the area of the surface of the cylinder lying in the first octant between the planes and ., be, 5. Solve . 第 1 页 共 6页