Calendar: 1863-1864 Page 526

52G GENERAL LITERATURE AND SCIENCE Evaluate the functions- cos ג when χ χ log -- tan -- when χ ייa log when χ Find the values of ΐ which make it maximum or mini- mum when el cos χ x2 a2 02 a2 Find that point in parabola at which line drawn from the vertex makes the greatest angle with the curve 10 If exas cos sin Θ prove that cose cos χ sin θ rf r" 11 Eliminate by differentiation the exponential and circular functions from aemx sin and show that 12 If cos there is minimum when 13 From the extremity of the minor axis of an ellipse draw the longest line to the periphery of the ellipse 14 piece of pasteboard inches by has square cut out of each coiner and with the remainder box is formed find the side of the square that the box may hold the greatest quantity II -Conic Sections Find the length of the perpendicular from point on the straight line defined by χ cos sin