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:128cm^3
Step-by-step explanation:
Base area=48cm^2
Height=8cm
Volume=1/3 x base area x height
Volume=1/3 x 48 x 8
Volume=(1x48x8)/3
Volume=384/3
Volume =128cm^3
Answer:
D. -3/2 and 2
Step-by-step explanation:
Zeros are two points that touch the x axis.
Answer:
X=7
Step-by-step explanation:
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Answer:
The IQR is a better measure of spread for movies than it is for basketball games
Step-by-step explanation:
The Basket ball games has no outliers so we would use standard deviation as the measure of spread. The movies has an outlier so we would use IQR as the measure of spread.