Calendar: 1898-1899 Page 748

cxvi FACULTY OF SCIENCE positive Give the equation of any curve that satisfies this condition 17 Establish method for differentiating function of function Apply it to deduce cos from sin dx ax Differentiate eax cos bx eaaJCOS bx cos bxeax 18 Shew how to find the equation of tangent at given point of given curve Apply your method to xy2 a3 Reduce your result to the form mx 19 When is function said to have maximum value Ascertain whether 14 24 11 has maxima or minima values and find them β Prove that cos- has an infinite number of maxima values forming geometrical progression 20 Explain how to find the area of curve when its equation is known Find the area between the curves a2y a2x arithmetic YEAR Candidates for Special Matriculation Certificates may confine their attention to questions -7 Engineers who have previously passed for the Special Matricu- lation Certificate may answer questions 15-20 instead of questions 1-7 Prove without calculating either that the cost of dozen and articles at 3s bd per dozen is the same as the cost of dozen and articles at 8s 7d per dozen Paramanus ten parasukshma make ten of those build "The trasarene and seven trasarenes One mote's-length floating in the beam seven motes aThe whisker-point of mouse and ten of these "One likhya Light of Asia Bk