Show that the height of the cylinder of maximum volume, which can be inscribed in a sphere of radius R is Also find the maximum volume.
Find the equation of the normal at a point on the curve x2 = 4y which passes through the point (1, 2). Also, find the equation of the corresponding tangent.
Find the Cartesian equation of the line passes through the point (-2, 4, -5) and is parallel to the line
The amount of pollution content added in air in city due to x-diesel vehicles is given by Find the marginal increase in pollution content when 3 diesel vehicles are added and write which value is indicated in the above questions.