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:
=-26
Step-by-step explanation:
f(n) = 7n – 5
Let n = -3
f(-3) = 7*(-3) – 5
Multiply first
= -21-5
=-26
Answer:
Total
Step-by-step explanation:
A percent bar graph compares the amount in each category to the total amount (sum of all categories) as a percentage.
Answer:
First answer.
Step-by-step explanation:
We know that a complete rotation would be 360°. If the figure is being rotated 90°, this is a quarter of a complete rotation.
When looking at the given answers, only the first answer seems logical.
Answer:
6
Step-by-step explanation:
18/3
