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The money to be spent for the welfare of the employees of a firm is proportional to the rate of change of its total revenue (Marginal Revenue). If the total revenue ( in rupees) received from the sale of x units of a product is given by
R(x) = 3 x2 + 36 x + 5, find the marginal revenue, when x = 5, and write which value does the question indicate.
The top of a ladder 6 metre long is resting against a vertical wall on a level pavement, when the ladder begins to slide outwards. At the moment when the foot of the ladder is 4 metres from the wall, it is sliding away from the wall at the rate of 0.5 m/sec. How fast is the top - sliding downwards at this instance?