Answer:
the volume of the solid is 
Step-by-step explanation:
Given the data in the question;
y = x and y = x²
so
x = x²
x - x² = 0
Radius will be; r = ( x - x² )/2
Area of the circular disk πr² = π[ ( x - x² )/2 ]²
A =
( x - x² )²
So, our volume will be;
V = ₀∫¹ A(x) dx
we substitute
= ₀∫¹
( x - x² )² dx
{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³ }
so we have;
= ₀∫¹
( x² + x⁴ - 2x³ ) dx
=
+
-
![]^1_0](https://tex.z-dn.net/?f=%5D%5E1_0)
=
[
+
-
]
=
[
]
V = 
Therefore, the volume of the solid is 
We know that
P= no or frequency of desired object / total number of objects
So,
T= 7+8+3=18
p=8/15
Answer:
x ≤ 7/2
Step-by-step explanation:
Expand brackets: 3x - 15 ≤ x - 8
Subtract x from both sides: 2x - 15 ≤ -8
Add 15 to both sides: 2x ≤ 7
Divide both sides by 2: x ≤ 7/2
Answer:
v=10.1
Step-by-step explanation:
v= 4.5 + at -------> equation 1
given
a=1.6
t=3.5
so we will plug in the value in equation 1
v = 4.5 + (1.6 x 3.5)
v = 4.5 + 5.6
v = 10.1