For the following exercises, find the exact area of the region bounded by the given equations if possible. If you are unable to determine the intersection points analytically, use a calculator to approximate the intersection points with three decimal places and determine the approximate area of the region. x= √4-y^2 and y^2=1+x^2

Points of intersection: (1.225,-1.58) and (1.225,1.58)

Step-by-step explanation:

Given

Required

The region area

Plot the graphs of and

Make y the subject in both equations

Square both sides

Rewrite

Take square roots

So, we have:

Take square roots

So, we have:

The point of intersection is:

Square both sides

Collect like terms

Divide by 2

Take square roots

So, the point of intersection is at: (1.225,-1.58) and (1.225,1.58)

See attachment

From the attached image, we can see that the curves do not enclose

Hence:

answer: -1

step-by-step explanation:

answer: 10 meter

step-by-step explanation:

need details