The supply equation is given `p(x+2) = 4x + 90`, where p is the price/unit in rupees and x is the no. of units find the rate at which the price is changing with respect to time when 39 units are available and the supply is increasing at the rate of 5 units/week.

The price of a product is related to the number of units available (supply) by the equation Px+3P-16x=234 , where P is the price of the product per unit in Rupees (Rs) and x is the number of units. Find the rate at which the price is changing with respect to time when 90 units are available an the supply is increasing at a rate of units/week .

If the volume of a cube of side length x is V = x^(3) . Find the rate of change of the volume with respect to x when x = 5 units.

If the volume of a cube of side length x is v=x^(3) . Find the rate of change of the volume with respect to x when x = 5 units.

If the volume of a cube of side length x is V=x^(3) . Find the rate of change of the volume with respect to x when x = 5 units.

lf x = a + bt + ct^(2) , where x is in metre and t in seconds, what is the unit of c?

If y= 6x - x^(3) and x increases at the rate of 5 units/sec the rate of change of slope when x =3 is

If the intercepts of the variable circle on the x- and yl-axis are 2 units and 4 units, respectively, then find the locus of the center of the variable circle.