Paragraph: The area bounded by the parabola y^2=k x and the line x=k , where k>0 , is 4 3 square units. Question: What is the value of k ?

Step-by-step solution

Given, Area bounded = 4 3 squar 0=2 ₀^ k ydx aligned & 4 3 =2 ₀^ k k x dx 4 3 =2 k 2 3 ( k )^ 3 2 1= k ^2 & k = 1 ( since k >0) & k =1 aligned