Answer:
Volume = 16 unit^3
Step-by-step explanation:
Given:
- Solid lies between planes x = 0 and x = 4.
- The diagonals rum from curves y = sqrt(x) to y = -sqrt(x)
Find:
Determine the Volume bounded.
Solution:
- First we will find the projected area of the solid on the x = 0 plane.
A(x) = 0.5*(diagonal)^2
- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,
A(x) = 0.5*(sqrt(x) + sqrt(x) )^2
A(x) = 0.5*(4x) = 2x
- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:
V = integral(A(x)).dx
V = integral(2*x).dx
V = x^2
- Evaluate limits 0 < x < 4:
V= 16 - 0 = 16 unit^3
To find the answer we can break the figure into two parts: a rectangle and a semi circle.
The perimeter of the rectangle:
(10+4)×2
=28 ft
The perimeter of the semi circle:
perimeter of a circle: 2×兀×radius
(The radius: 4/2)
We divide the perimeter by two as it is a semi circle,which is half the circumferece perimeter of a circle.
[2(3.14)(4/2)] / 2
=6.28 ft
We can then add up the numbers to find the answer, and remember that 4 cm is overlapped:
28+6.28-4
=30.28ft
Therefore the answer is 30.28ft.
Hope it helps!
Answer: 121.836
Step-by-step explanation: So the first thing you need to do is:
31.24
x3.90 you need to put the zero there because the decimal points would need to match up.
_____
Once you do that just put the decimal down. Like this:
31.24
x3.90
____ Once you do that just ignore the decimal and multiply.
.
Once you have finished, the answer should be 121.836.
Hope I Helped!
:)
Answer:
pls amke it more clear pls just pls
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
An integer is any whole number (both positive and negative) and zero.
