A graph can be helpful for finding limits of integration.
The volume can be found using cylindrical shells of height (x-0.5x^2) and radius (3-x).
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The parabola whose area is shaded purple is the difference between the curves y=x and y=0.5x^2. The area under the parabola shaded purple is
(2/3)*height*width = (2/3)*(0.5)*2 = 2/3
The volume is that area multiplied by the circumference of the circle about which its centroid is revolved. That circle has radius 2, so its circumference is 4π. Then the volume is
V = (2/3)*4π = 8π/3
Answer:
x = 1, x = 7
Step-by-step explanation:
The roots are the values of x where the graph crosses the x- axis
The graph crosses the x- axis at 1 and 7 , then
the roots are x = 1, x = 7
Use the distributive property to express the sum of the 2 whole numbers 15 and 30 with common factors as a multiple of two whole numbers with a sum of no common factor the solution would be (15 plus 30) = 15(1+2)
IT IS GIVEN THAT XM= MY FROM THE DIAGRAM
<h2>THEREFORE</h2>
HOPE THIS HELPS
Answer:
16. =
17. <
18. <
Step-by-step explanation: