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: 1513.
Step-by-step explanation:
This is just another way to write subtraction! So just write it as a subtraction problem.
1576-63 = 1513 ^^
<h2>(☞^o^) ☞</h2><h2>Here's your answer </h2>
Step-by-step explanation:
Let the two consecutive natural numbers be x and x+1
Now, according to the problem
x+(x+1)=23
⇒ 2x+1=23
⇒ 2x=23−1
⇒ 2x=22
⇒ x=22÷2=11
The one number is 11
The next number is x+1=11+1=12
Hence the numbers are 11 and 12.
Be my Friend...
Answer:
He has 5 ways to arrange them in a array.
Step-by-step explanation:
colby has 16 jars of spices.He wants to arrange them in arrays.
<em>An array is a systematic arrangement of similar objects, usually in rows and columns.</em>
So, the choices he could have to form an array is the possible number of ways he can arrange them in rows and columns and in table it could be seen as:
S.no. Number of rows Number of columns
1 16 1
2 8 2
3 4 4
4 2 8
5 1 16
Hence, the number if arrays he could use to arrange them is 5.
Answer:
The area the sprinkler sprays with water is 201.06 square feet.
Step-by-step explanation:
Step 1; It is given that the diameter of the circular area of grass that the sprinkler sprays with water is 16 feet. The diameter of a circle is equal twice its radius. So we divide the diameter by 2 to get its radius.
Radius of the circle = Diameter of the circle / 2 = 16 feet / 2 = 8 feet.
Step 2; The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 feet.
Area of the circle = π × r² = 3.1415 × 8 feet = 201.056 square feet.
