The pressure p and the volume v of gas are connected by the relation pv=300. If the volume is increasing at the rate of 0.6 cubic cm per minute then the rate of change in pressure of the gas when the volume is 30 cubic cm is

A gas holders contain 100 cubic ft of gas at a pressure of 5 lb per sq. inch. If the pressure is increasing at the rate of 0.05 lb per sq. inch per hour, then the rate of decrease of the volume assuming Boyle’s law pv=a constant is

If an error of 0.02 cm is made while measuring the radius 5 cm of a circle, then the relative error in the area is

If an error of 0.01 cm is made while measuring the radius 10cm of a circle, then the relative error in the area is

A rod of 10 feet long moves with its ends A and B always on the axes of x and y respectively. If A is 8ft from the origin and is moving away at the rate of 2ft per second. At what rate the area formed by AB and the axes changing …?

The circumfence of a circle measured as 14cm with   an error of 0.01 cm. the approximate percentage error in the area of the circle is

In measuring the circumfence of a circle, there in an error of 0.05 cm. if with this error the circufence of the circle is measured of the circle is measured as c cm, then the percentage error in area is

The slant height of a cone is fixed as 7 cm. if the rate of increase I its height is 0.3 cm/sec, then the rate of increase of volume when height 4 cm is

Through the point (2, 3) a straight line is drawn making positive intercept on the coordinate axes. The area of the triangle thus formed is least, when the ratio of the intercepts on the x and y axes is

In measuring the vertical angle  of the sector of acircle of radius  30cms, an error of  1⁰ is made. The error in the area of the sector is