Question

What is the area (in square units) of the region bounded by the curves y=-3x, y=sqrt(x) and y=3?

Answer 1

Step 1:

Region bounded by the curves of equations are .

Sketch the curves of equations:

Divide the region into two subregions R₁ and R₂ shown in the figure.

Step 2:

Area =

Region R₁ :

Region R₂ :

Step 3:

Area of region:

Solution:

Area of region bounded by the curves is 10.5 square units.