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.
Write the degree of the differential equation
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.