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 equation of the given line is:
The required line is parallel to the given line. Therefore, direction ratios of the required line are same as the direction ratio of the given line. So, the direction ratios of the required line are 3, -5, and 6.
Thus, the equation of the straight line passing through (-2, 4, -5) and having direction ratios 3, -5, 6 is
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.