Describe in words the region of R3 reperesented by the equations or inequalities y2+z2=16
1 answer:
Answer:
It represents an infinite cylinder of radius 4.
Step-by-step explanation:
The first thing to notice is that
<u>represents a circle of radius 4</u>, with its center in the origin of a plane yz, of cartesians coordinates.
Starting from here, we have to put the coordinate x, for all values of x, to complete the space R³. <em>This will enlarge this circle we had on the plane, to infinity</em> (positive and negative on the x-axis).
Finally, we have that this region is a cylinder of radius 4, with center in y=0 and z=0, and of infinite length in the x coordinates.
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Answer:
Vladimir and Robyn both are correct.
Step-by-step explanation:
Let us check whether the points (-5,-3) and (10,9) are on the line or not.
The equation of the straight line passing through the given points (-5,-3) ans (10,9) is
⇒ 5(y - 9) = 4(x - 10)
⇒ 5y = 4x + 5
⇒ .............. (1)
So, Vladimir is correct.
Now, Robyn says that the line passes through the points (-10,-7) and (-15,-11).
Then, both of the points satisfy the equation (1).
Therefore, Vladimir and Robyn both are correct. (Answer)
Answer:
The cost of extracting the first 50 tons of copper is $151,000.
Step-by-step explanation:
Start-up costs of $150,000.
For the 50 tons of cooper.
So
1 thousand dollars.
So
$150,000 + $1,000 = $151,000
The cost of extracting the first 50 tons of copper is $151,000.