A. 1 unit/sec
B. 2unit/sec
C. 1/2unit/sec
D. 3unit/sec
The sum of three numbers is 30. The first plus three times the second plus four times the third add on to 80. The numbers so that the product of all three is as large as possible are
If the tangent at θ=π/4 to the curve x=a cos3θ, y= a sin3θ meets the x and y axis in A and B, then the length of AB is
The approximate value of cos 450, given that 10=0.1745 radian is
Angle between the tangents to the curve y=x2-5x+6 at the points (2, 0) and (3, 0) is
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