Due to the symmetry of the paraboloid about the <em>z</em>-axis, you can treat this is a surface of revolution. Consider the curve
, with
, and revolve it about the <em>y</em>-axis. The area of the resulting surface is then

But perhaps you'd like the surface integral treatment. Parameterize the surface by

with
and
, where the third component follows from

Take the normal vector to the surface to be

The precise order of the partial derivatives doesn't matter, because we're ultimately interested in the magnitude of the cross product:

Then the area of the surface is

which reduces to the integral used in the surface-of-revolution setup.
You can use a calculator for this:
3547*523 = 1332081
8B and 10 not sure probably centre??
<em><u>Explanation</u></em>:
On the left hand side of the place value chart, 20 hundreds is equal to 2 thousands because thousands is larger than hundreds. 2 thousands is 2(1000)=2000. 20 hundreds is 20(100)=2000. They are the same number.
However, on the right hand side of the place value chart, hundredths is larger than thousandths. To say that 20 hundredths is the same as 2 thousandths is incorrect, because you're saying more of a larger quantity is the same as less of a smaller quantity.
Hundredths are two places after the decimal, and have a value of 0.01. 20 hundredths is 20(0.01) = 0.2.
Thousandths are three places after the decimal and have a value of 0.001. 2 thousandths is 2(0.001) = 0.002.
We can write 0.2 as 0.200; this way we can see that 0.200 is larger than 0.002. They are not equal.
Answer:
x = 1.27
y = 5.18
Step-by-step explanation:
to solve this system of equation by simultaneous equation we say that let
3x+y=9.............................. equation 1
-5x+2y=4 .......................... equation 2
from equation 1
3x+y=9.............................. equation 1
y = 9 -3x.............................. equation 3
substitute the value of y = 9 -3x into equation 2
-5x+2y=4 .......................... equation 2
-5x + 2( 9 -3x) = 4
-5x + 18 - 6x = 4
collect the like terms
18 - 4 = 6x + 5x
14 = 11x
divide both side by 11
14/11 = 11x/11
x = 14/11
x = 1.27
put the value of x = 1.27 into equation 3
y = 9 -3x.............................. equation 3
y = 9 - 3( 1.27)
y = 9 - 3.82
y = 5.18
<em>to check if you are correct put the value of x and y into either equation 1 or equation 2.</em>
<em>3x+y=9.............................. equation 1</em>
<em>3( 1.27) + 5.18 = 9</em>
<em>3.81 + 5.18 = 9</em>
<em>9 = 9</em>