The cost function for a product in a firm is given by 5q2, where q is the amount of production. The firm can sell the product at a market price of Rs.50 per unit. The number of units to be produced by the Emi such that the profit is maximized is
5
Profit is 50q−5q². Its derivative is 50−10q, zero at q=5. The second derivative is −10, so this is the maximum.
The ratio of volume to surface area of solid semi sphere is related to its radius through
The value of \(\int^2_0\int^x_0y\ dy\ dx\)
Find the slope of normal to the curve y = x2 + 7x at (1, 8).
Find the equation of normal to the curve y = 4x - 3x2 at (2, -4).