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
3 lemons cost = Rs. 5
Each lemon cost = Rs. 5/3
2 lemons Cost = Rs. 4
Each lemon cost =
Total Cost price of Each lemon =
LCM = 3
Each lemon Cost =
Selling price of 5 lemons = 9
Selling price of 1 lemon = 9/5
Answer:
it has 2
Step-by-step explanation:
2
Answer:
<u>1.</u> 20 boxes cost $36. The unit rate is 1:1.8 and when you multiply 1.8 by 5 you get 9. If you also multiply 1.8 by 20 you get 36.
<u>2.</u>He completes 12.5 pages in 200 minutes.
200 divided by 32
multiply that answer by 2
which is 12.5.
hope it helps!
Multiply both sides by <span>cos</span><span>
</span><span>r<span>cos<span>(θ)</span></span>=<span>sec<span>(θ)</span></span><span>cos<span>(θ)</span></span>=1</span><span>
</span><span>x=r<span>cos<span>(θ)</span></span></span><span>
</span><span>x=1</span>
