Answer:
81π for the x axis.
Step-by-step explanation:
STEP ONE: Determine the intersection.
we are given from the question that y = x^2 and y = 6x − x^2. Therefore if y = x^2, then we will have;
x^2 = 6x - x^2 ---------------------------------------------------------------------------------[1].
Solving and factorizing the equation [1] above give us x = 0 and x = 3 (that is x[6 -2x] = 0 ). Therefore, the point of intersection = (0,0) and (3,9).
<u>STEP TWO</u><em>: </em>Determine the value for the cross sectional area.
The cross sectional area= [6x - x^2]π - [x2]^2 π. --------------[2].
The cross sectional area = -12 π[x -3]x^2.
<u>STEP THREE:</u> integrate the cross sectional area taking x =3 and x =0 as the upper and lower integration limits or boundaries with respect to dx to determine the vome in the x axis.
<h3>volume =∫-12 π[x -3]x^2 dx.</h3><h3 /><h3>volume = -12 π[ (3)^4/4 - (3)^3 ] = 81π.</h3>
volume, v with respect to the x axis = 81π
Answer:
O no, because people in the bookstore are interested in purchasing books, so they do not represent all shoppers in the mall
Step-by-step explanation:
In the bookstore, the best method which the store keeper wanted to adopt is actually not a sample representation of the population. This is because, since it would be a survey of those that interested in purchasing books as gifts, it should be able to factor in other purchasers in the mall rather than those who purchase from the bookstore only.
Doing this, would help to give an accurate representation of both group in the survey.
Answer:
22. B1, G1 (from left to right)
23. E5
Step-by-step explanation:
