Answer:
Z = 8 + 2x2 + 2y2
Convert to polar coordinates
Z = 8 + 2r2
Now theta will go from 0 to pi/2 because it's in the first quadrant.
R will go from 0 to the radius of the circle formed at the intersection of the plane and the paraboloid.
14 = 8 + 2r2
r = sqrt(3)
So r goes from 0 to sqrt(3).
You integrate 14-z where 0<r<sqrt(3) and 0<theta<pi/2.
It is 14-z and not z because just z would give the volume under the paraboloid.
Step-by-step explanation: please go answer my recent question
we know that
The fraction of each tile color can be found by dividing the number of tiles for each tile by the total number of tiles, then simplifying the fraction if possible.
Let
N----------> total number of tiles
Y---------> number of yellow tiles
B--------> number of blue tiles
P--------> number of purple tiles
we have

<u>1) Find the fraction of yellow tiles</u>
we know that
the fraction of yellow tiles is equal to

substitute the values

<u>2) Find the fraction of purple tiles</u>
we know that
the fraction of purple tiles is equal to

substitute the values

<u>3) Find the fraction of yellow tiles or purple tiles</u>
we know that
the fraction of yellow tiles or purple tiles is equal to

therefore
<u>the answer is</u>
