The marginal cost of a manufaacturer is given by:
`MC = (250x)/(sqrt(x^2+40))` where 'x' is the number of units (in thousands) prodced. If 'x' increases from 3,000 to 9,000 units, find the total increase in cost.

The cost function of a firm is given by: C(x) = 300x - 10x^2 +(1)/(3)x^3 where 'x' is the output. If the marginal cost is defined as the rate of change of C(x) with respect to 'x', then find the the marginal cost when 5 units are produced.

Evaluate int (x-3)/(sqrt(x^2+9)) dx

The total cost C(x) in Rupees, associated with the production of x units of an item is given by C(x) = 0.005 x^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 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 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 +4 . 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.

Find the intervals in which the following functions are increasing: x^3 - 3x

Find the points on the X-axis, which are at a distance of 2 sqrt6 units from the point (1,-2, 3).

The total cost C(x) associated with product of 'x' units of an item is given by: C(x) =0.005 x^3-0.02x^2 + 30 x + 500 . Find the marginal cost when 3 units are produced.

Total revenue from the sale of 'x' units of the product is given by: R (x) = 40 +40x-(x^2)/2 Find the marginal revenue when x = 6 and interpret it.