Calendar: 1884-1885 Page 635

GENERAL LITERATURE AND SCIENCE 629 Prove that the limit when η co nh of φ φ α φ α η lh is φ φ α ז 10 Integrate x3ex χ2 log sin rcos£r a2 ------ a2 11 Find the areas of cos Θ Each loop of cos The loop of 3y2 a4 12 Two parallel planes trisect the surface of sphere in what ratio do they divide its volume 13 Integrate the differential equations dV &y 14 Find the law of acceleration to the cusp under which the cardioid may be described and determine suitable velocity of projection at an angle of 45 to the radius vector Division II All the interior angles of any rectilineal figure together with four right angles are equal to twice as many right angles as the figure has sides The sum of the interior angles of polygon is equal to 36 right angles Find the number of its sides The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel