Answer:
The answer to your question is 8/3 u²
Step-by-step explanation:
Data
length of the side = 2/3
Surface area = ?
Process
1.- Calculate the area of one face
Area = side x side
-Substitution
Area = 2/3 x 2/3
-Result
Area = 4/9
2.- Calculate the area of the cube (a cube has 6 faces)
Surface area = 4/9 x 6
= 24/9
-Simplification
Surface area = 8/3 u²
In the second picture, top left is order 2, top right is order 4, bottom right is order 4, bottom left is order 2 I think but I'm not positive on that one. That's all I know for now, I'm currently in Calculus so my Geometry is a bit rusty.
Answer:
7=19
9=23
10=25
Step-by-step explanation:
First, solve f(x)=4x-3x^2=0,
or
x(4-3x)=0
=>
x=0, x=4/3
The area enclosed by the parabola over the x-axis is therefore
A=integral f(x)dx from 0 to 4/3=[2x^2-x^3] from 0 to 4/3 = 32/27
Let the line intersect the parabola at a point (a,f(a)) such that the area bounded by the line, the parabola and the x-axis is half of A, or A/2, then the area consists of a triangle and a section below the parabola, the area is therefore
a*f(a)/2 + integral f(x)dx from a to 4/3 = A/2 = 16/27
=>
2a^2-3a^3/2+a^3-2a^2+32/27=16/27
=>
(1/2)a^3=16/27
a=(32/27)^(1/3)
=(2/3)(4^(1/3))
=1.058267368...
Slope of line is therefore
m=y/x=f(a)/a=4-2(4^(1/3))
=0.825197896... (approx.)
To solve this, all you have to do is multiply the two numbers together.
6*3=18