Question

asked 2021-05-25

Find the area of the part of the plane \(5x + 4y + z = 20\) that lies in the first octant.

asked 2021-06-08

1) Find the area of the part of the plane

4x + 3y + z = 12

that lies in the first octant.

2) Use polar coordinates to find the volume of the given solid.

Bounded by the paraboloid \(z = 5 + 2x^2 + 2y^2\) and the plane z = 11 in the first octant

4x + 3y + z = 12

that lies in the first octant.

2) Use polar coordinates to find the volume of the given solid.

Bounded by the paraboloid \(z = 5 + 2x^2 + 2y^2\) and the plane z = 11 in the first octant

asked 2021-05-12

Find the area of the region enclosed by one loop of the curve

\(r=\sin 12 \theta\)

Find the area of the region that lies inside the first curve outside the second curve.

\(r=14 \cos \theta , r=7\)

\(r=\sin 12 \theta\)

Find the area of the region that lies inside the first curve outside the second curve.

\(r=14 \cos \theta , r=7\)

asked 2020-10-26

\(\ xy dx-(x^{2}+3y^{2})dy=0\)