Cross sections of the volume are washers or annuli with outer radii <em>x(y)</em> + 1, where
<em>y</em> = <em>x(y) </em>² - 1 ==> <em>x(y)</em> = √(<em>y</em> + 1)
and inner radii 1. The distance between the outermost edge of each shell to the axis of revolution is then 1 + √(<em>y</em> + 1), and the distance between the innermost edge of <em>R</em> on the <em>y</em>-axis to the axis of revolution is 1.
For each value of <em>y</em> in the interval [-1, 3], the corresponding cross section has an area of
<em>π</em> (1 + √(<em>y</em> + 1))² - <em>π</em> (1)² = <em>π</em> (2√(<em>y</em> + 1) + <em>y</em> + 1)
Then the volume of the solid is the integral of this area over [-1, 3]:
Answer:
x = 2
y =7
Step-by-step explanation:
the system of linear equation will be solve using substitution method,
let
Y=3x+1.............................................. equation 1
Y=2x+3.............................................. equation 2
substitute equation 1 into equation 2
3x + 1 = 2x + 3
combine the like terms
3x+1 -2x = 3
x = 3 -1
x = 2
put the value of x=2 in either equation 1 or 2
Y=2x+3.............................................. equation 2
y = 2(2) + 3
y = 4 + 3
y = 7
Answer:
46656.
Step-by-step explanation:
6^6 = 6*6*6*6*6*6
= 46656.
How do we? We can’t just...umm
Answer: 100 inches
Step-by-step explanation:
From the question, we are given the information that Nia had a 20 inch by 30 inch enlargement made of a photograph and that she wanted to have it framed.
The number of inches of frame that she would use to enclose the photo will be gotten by calculating the perimeter of the shape and this will be:
= 2(length + width)
= 2(30 + 20)
= 2(50 inches)
= 100 inches
To enclose the photo, 100 inches of frame is needed.
