The value of the given surface integral is 4.
The given plane intercepts the coordinate axes at (2, 0, 0), (0, 2, 0), and (4, 0, 0). These point are the coordinates of a triangular region that we can parameterize using.
<h3>What is the surface integral?</h3>
A surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. Given a surface, one may integrate a scalar field over the surface or a vector field.
with 0≤u≤1 and 0≤v≤1. Then the surface element ds is equivalent to
The surface integral is then
Therefore the value of the given surface integral is 4.
To learn more about the integral visit:
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*note: for this problem you have to round a few values. I rounded to 2 decimal places, but your answer could be different if you have to round to more/less than 2 decimal places
Answer: Diameter = 8 millimeters
Buttons are circles, so we will use the formula for area of a circle:
A = πr^2
We are solving for the diameter, which is 2 times the radius:
d = 2r
So now we plug in what we know.
The area A = 50.24 square millimeters, therefore we plug it in and simplify:
50.24 square millimeters = πr^2
50.24/π = r^2
15.99 = r^2
squareroot(15.99) = r
r = 4 millimeters
Now we use the radius to calculate the diameter.
r = 4 millimeters
d = 2r
d = 2(4)
diameter = 8 millimeters
Answer:
12
15
34
67
21
Step-by-step explanation:
the stuff and other do it
The slope is –3.
Solution:
<u>To find the slope of the line:</u>
The given points in the table lie on a line.
Take any two points from the line.
Let the points are (0, 2) and (3, –7).
Slope of the line formula:
m = –3
The slope is –3.
Answer:
13a: Measure of angle 1 is 120 degrees
13b: Angle 2 is 60 degrees
Step-by-step explanation:
Angle 1 is alternate exterior (so in a parallel pair they are equal) to the angle on line m given as 120 deg.
Angle 2 is 180 minus 120= 60 Sum of the two angles must equal 180.
