2x1 +3x2 -x3 =15 4x2 +2x3 =16  3x1

The figure shows the surface created when the cylinder ${\displaystyle y^2+Z^2=1}$ intersects the cylinder ${\displaystyle x^2+Z^2=1}$. Find the area of this surface.
The figure is something like:

An Alaskan rescue plane drops a package of emergency rations to a stranded party of explorers. the plane is traveling horizontally at $30.0m/s$ at a height of $200.0m$ above the ground.

A)What horizontal distance does the package fall before landing?

B)Find the velocity of the package just before it hits the ground.

A 15.0 kg block is dragged over a rough, horizontal surface by a70.0 N force acting at 20.0 degree angle above the horizontal. The block is displaced 5.0 m, and the coefficient of kinetic friction is 0.3. Find the work done on the block by ; a) the 70.0 N force,b) the normal force, and c) the gravitational force. d) what is the increase in the internal energy of the block-surface system due to friction? e) find the total change in the kinetic energy of the block.

A floating ice block is pushed through a displacement d=(15m)i-(12m)j along a straight embankment by rushing water, which exerts a force F=(210N)i-(150N)j on the block. How much work does theforce do on the block during the displacement?

Given P(A) = 0.92, P(B) = 0.33, and P(A or B) = 0.40, are events A and B mutually exclusive?