A. 1 cubic ft/hour
B. 2 cubic ft/hour
C. 4 cubic ft/hour
D. 8 cubic ft/hour
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
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