The total revenue in Rupees received from the sale of x units of a product is given by R(x) =` 3x^(2) + 36x + 5.` Find the marginal revenue, when x = 5, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant.

The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 13x^(2) + 26x + 15. Find the marginal revenue when x = 7.

The total revenue in rupees received from the sale of x units of a product is given by R(x) = 13x^(2) + 26x + 15 . Find the marginal revenue when x = 7.

The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x^(2) + 36x + 5. The marginal revenue, when x = 15 is

The total cost C(x) in Rupees, associated with the production of x units of an item is given by C(x) = 0.005x^(3)- 0.02 x^(2)+30x+5000 Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

The total cost C(x) in rupees associated with the production of x units of an item is given by C(x) = 0.007x^(3) - 0.003 x^(2) + 15x + 4000 . Find the marginal cost when x = 17 units are produced.

The contentment obtained after eating X-units of a new dish at a trial function is given by the function f(x) = x^(3) + 6x^(2) + 5x +3 . If the marginal contentment is defined as the rate of change f(X) with respect to the number of units consumed at an instant, then find the marginal contentment when three units of dish are consumed.

The total cost C(x) in Rupees associated with the production of x units of an item is given by C(x) = 0.007x^(3) - 0.003x^(3)+15x+4000 . Find the marginal cost when 17 units are produced.

Find the absolute maximum and minimum values of a function f given by f(x) = 2x^(3) – 15x^(2) + 36x +1 on the interval [1, 5].

A balloon, which always spherical, has a variable diameter 3//2(2x +1) . Find the rate of change of its volume with respect to x.

The total cost associated with provision of free mid-day meals to x students of a school in primary classes is given by C(x) = 0.005x^(3) - 0.02x^(2) + 30x + 50. If the marginal cost is given by rate of change (dc)/(dx) of total cost, write, the marginal cost of food for 300 students.