A. x=1/√2
B. x=π/4
C. x=1
D. x=0
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
The diameter and altitude of a right circular cylinder are found at a certain instant to be 20 cm and 40 cm respectively. If the diameter is increasing at the rate of 2 cm/sec then the rate of the change in the altitude will keep the volume constant is
The shortest distance between the line y-x=1 and the curve x=y2 is
The radius of the circular disc increases at a uniform rate of 0.025 cm per sec. the rate at which the area of the disc increases, when the radius is 15 cm is
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The equation of the normal to the curve 2y=3-x2 at (1, 1) is
Oil is being filled in a cylindrical tank of diameter 12mt. the rate of increase in the height of oil corresponding to the rate of increase 1800π cubic cm per minute in its volume is