Answer:
The correct answer B) The volumes are equal.
Step-by-step explanation:
The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

which when evaluated gives 4pi/3.
Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.
36 divided by 6 is like sharing 36 orranges among 6 people
a a a a a a|---------------------------1st Person
a a a a a a|---------------------------2nd Person
a a a a a a|---------------------------3rd Person
a a a a a a|---------------------------4th Person
a a a a a a|---------------------------5th Person
a a a a a a|---------------------------6th Person
Each person receives 6 oranges evenly so 36/6 = 6
I used this strategy because it is the easiest to understand
Answer:
Pythagorean Theorum is defined in Mathematics by a^2 + b^2 = c^2.
One leg (a) is 5. The other leg (b) is 13.
Let's use Pythagorean Theorum.
5^2 + 13^2 = c^2
5 • 5 = 25
13 • 13 = 169
25 + 169 = 194.
Step-by-step explanation:
Hope this helps
B. 0
G(6)= 6 - 8 = -2
F(-2) = 6(-2) + 12 = 0
Answer:
The possible numbers could be : 4521, 4125, and 2415