Calendar: 1881-1882 Page 635

636 general literature and science How are indeterminate multipliers used in problems of maxima and minima values Show that the maxima and minima values of r2 x2 z2 where Ix my pu ί i2 a2 62 t- c2 d2 are given by the equation a2 I2 b2 m2 d2-P2 Ψ mm lfMVl tV ί Define the terms curvature and circle of curvature Prove the formula Investigate the curvature at the origin in the following curves ל 4- 3y x3 2xy2 Ax 4- 3y x3 2xy2 40 -4 4y 43 x2 י Describe method for obtaining the asymptotes linear and parabolic of curves given by polar equation-for example Find the asymptotes of the following curves x3 xy 3y 42 y2 43 2a 10 Trace the curves ay -x y2 2x2y χ χψ 11 Express the arc of curve in terms of the radius vector and perpendicular from the origin on the tangent Find the arc of the spiral αθ for the 71th revolution of θ through 27r