a) Find the area bounded by the curve \( y^2 = 4x \) , the x-axis and the line x = 4 . b) The demand and supply function in a competitive market are…
Class 12 Business Mathematics · 2081 · Solved Question with Answer
a) Find the area bounded by the curve \( y^2 = 4x \), the x-axis and the line x = 4.
b) The demand and supply function in a competitive market are given by the equation\( Q_d = 240 - 3p \) and \( Q_s = 5P - 150 \) respectively. If the rate of change of the price adjustment proportional to the excess of the demand is given by $\frac{dp}{dt} = \( 0.05(Q_d - Q_s) \). Solve the obtained differential equation given that the initial price \( (P_0) = \text{Rs. } 50 \).