By Stokes' theorem,
where 
is any oriented surface with boundary 
. We have
Take to be the ellipse that lies in the plane 
with boundary on the cylinder 
. Parameterize by
with 
and 
. Take the normal vector to to be
Then we have
Answer:
15
Step-by-step explanation:
A there are no real zeros
using the discriminant b² - 4ac to determine the nature of the zeros
for y = x² + 4x + 5 ( with a = 1, b = 4 and c = 5 )
• If b² - 4ac > 0 there are 2 real and distinct zeros
• If b² - 4ac = 0 there is a real and equal zero
• If b² - 4ac < 0 there are no real zeros
b² - 4ac = 16 - 20 = - 4
Since discriminant < 0 there are no real zeros
Answer:
<em>The price is the same at both stores for 2 prints.</em>
Step-by-step explanation:
<u>Equations</u>
Let's set the variable
x = number of photo prints
Company Photo Plus charges $2 for each print and $6 for a processing fee, thus the total charges are:
PP = 6 + 2x
Company Picture Time charges $3 for each print and $4 for a processing fee, thus it charges a total of:
PT = 4 + 3x
It's required to find the number of prints that make both stores charge the same. Equating both functions:
6 + 2x = 4 + 3x
Subtracting 2x and 4:
x = 2
The price is the same at both stores for 2 prints.
The correct answer for the question that is being presented above is this one: "28 in^2."
We have to get the individual area of each surface.
A1 = 1*3*2 = 6
A2 = 1*3*2 = 6
A3 = 1*2*2 = 4
A4 = 2*3*2 = 12
Area = A1 + A2 + A3 + A4
Area = 6 + 6 + 4 + 12
Area = 28 in^2
