Answer: z= -5
Step by Step:
-4(2z+6)-12=4
-8z-36=4
-8z-4+36
-8z=40
z=-5
Answer:
10/4
Step-by-step explanation:
Answer:
176.63 in²
Step-by-step explanation:
Area = πr²
Area = 3.14 * (7.5²)
Area = 3.14 x 56.25
Area = 176.625 ≈ 176.63 in²
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-Chetan K
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
16:64 (Rowley to Rivera homework ratio)
14:60 (Rowley to Rivera exit ratio)
The ratios aren't equivalent because when they are simplified, the first ratio is 1:4, and the second is 7:30, thus meaning they aren't equal.
