Applications of...

The circumference of a circle is measured as 56 cm with an error 0.02 cm. The percentage error in its area is

A particle moves in a straight line, so that s = √t then its acceleration is proportional to

If the radius of a circular plate is increasing at the rate of 0.01cm /s, when the radius is 12 cm. Then, the rate at which the area increases is

If a stone thrown upwards, has equation of motion s = 490t - 4.9t² . Then, the maximum height reached by it is

The rate of change of the surface area of the sphere of radius r, when the radius is increasing at the rate of 2 cm/s is proportional to

The equation of normal of the curve y = (1 + x)^y + sin^-1 (sin² x) at x = 0 is

The triangle formed by the tangent to the curve f (x) = x² + bx - b at the point (1, 1) and the ordinate axes lies in the first quadrant. If its area is 2, then the value of b is

The minimum radius vector of the curve