A. 1:2
B. 3:1
C. 3. 2:3
D. None
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
The radius of a sphere is 3 cm. if an error of 0.03 cm is made in measuring the radius of the sphere, then the error in surface area is
The function f(x)= x3-9x2+15x+25 is decreasing in
The radius and height of a cylinder are measured as 5cm and 10 cm respectively and there is an error of 0.02 cm in both the measurements. The approximate error in the volume is
Water flows into a conical vessel is at the rate of 5 cubic cm per sec. if the semi vertical angle of the vessel is 300, then the rate of increase of water level when the water level in the vessel is 6 cm is
The volume of a metal hollow sphere is constant. If the outer radius is increasing at the rate of ¼ cm per sec. the rate at which the inner radius is increasing when the radii are 8 cm and 4 cm respectively is
f(x)=(sin-1x)2+(cos-1x)2 is stationary at
On the interval [0, 1] the function x25(1-x)75 takes its maximum value at the point
The diameter x of a circle is found by measurements to be 5 cm with maximum error of 0.05 cm. the relevant error in the area is
The pressure P and the volume v of a gas are connected by the relation pv1/4 =a constant. The percentage increase in the pressure corresponding to a diminutions of ½% in the volume is