Question

Calculus Question.?

Find the area enclosed by 2x+y^2=48 and y=x.

Answer 1

Step 1:

The curve equation and line equation is  .

First find the integral limits by substituing in .

and

and .

Substitute the values in .

and .

Step 2:

Graph the region:

Step 3:

Formula for the area for a region bounded left and right by and and above and below by  and is .

In this case and ,.

square units.

Solution:

square units.