Here are the answers with explanations for how to find each one.
The area is 10 just use a area calculator!
Stokes' theorem equates the line integral of along the curve to the surface integral of the curl of over any surface with the given curve as its boundary. The simplest such surface is the triangle with vertices (1,0,1), (0,1,0), and (0,0,1).
Parameterize this triangle (call it ) by
with and . Take the normal vector to to be
Divide this vector by its norm to get the unit normal vector. Note that this assumes a "positive" orientation, so that the boundary of is traversed in the counterclockwise direction when viewed from above.
Compute the curl of :
Then by Stokes' theorem,
where
The integral thus reduces to
Answer:
P=75
Step-by-step explanation:
Since we know that there are 15 cars with 4 or more passengers per minute, and since we know that we need to find out how many per 5 minutes, we need to multiply 15 by 5, which is 75.
Hope this helps!