I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set

for this example.)
The length of each cross section (the side lying in the base) has length determined by the horizontal distance

between the y-axis

and the curve

. In terms of

, this distance is

. The height of each cross section is twice the value of

, so the area of each rectangular cross section should be

.
This means the volume would be given by the integral
The first operation performed while evaluating would be to do the parenthesis
Answer:
The Answer is B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
Answer:
angle GKF because they are vertically opposite angle
5(2x+8)-5x=5(5x+6)
Distribute
10x+40-5x=25x+30
combine like terms
5x+40=25x+30
-5x -5x
subtract 5x from both sides
40=20x+30
-30 -30
subtract 30 from both sides
10=20x
÷20 ÷20
divide both sides by 20
1/2=x is your final answer