Find the volume of the region bounded by the paraboloid z=x2+y2 and the plane x+y=1 in the first octant.

Step-by-step explanation:

Given

Paraboloid and Plane are bounded to get the area

In first octant

value of x varies from

value of y varies from

Volume

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2