## The period of a sample pendulam with small oscillations is given by -

If T is computed using l =8m and g = 9.8m/sec2, The approximate error in T if the true values are l = 8.05m and g = 9.81m/sec2.

Find the percentage eror in T.

If

Prove that

## Show that the points of inflection of the curve

lies on the straight line 3x + a = 4b

## Show that the radius of curvature at P on the ellipse

, Where CD is the semidiameter conjugate to CP, C is the center of the ellipse.