Answer:
DA/dt = 75.27 cm²
Step-by-step explanation:
Cube Volume = V(c) = 683 cm³
DV(c) /dt = 824 cm³
V(c,x) = x³
Then
DV(c,x)/ dt = 3x² Dx/dt
( DV(c,x)/ dt )/ 3x² = Dx/dt (1)
Now as V(c,x) = x³ when V(c,x) = 683 cm³ x = ∛683
x = 8.806 ( from excel)
And by subtitution of this value in equation (1)
Dx/dt = ( DV(c,x)/ dt )/ 3x² ⇒ Dx/dt = 824 / 3*x²
Dx/dt = 824 /3*77.55
Dx/dt = 824/232,64
Dx/dt = 3,542
Then we got Dx/dt where x is cube edge. The area of the face is x² then
the rate of change of the suface area is
DA/dt = ( Dx/dt )²*6 ( 6 faces of a cube)
DA/dt = (3.542)²*6
DA/dt = 75.27 cm²
Answer:
41,600yd's is the area....
Answer:
(12,12)
Step-by-step explanation:
For the x coordinate you add 4 to 8, and get 12.
For the y coordinate you subtract 8 from 20 to get 12.
So it would read (x + 4, y -8) -> (12,12)
There are many solutions. But what do you mean with a perfect square of a number. I thought a number IS a perfect square or not.
For example, the difference between 2² and 4² = 12, which is twice the number 6, which is √36
The difference between 2² and 6² = 32, which is twice the number 16, which is a perfect square.
So choose depending on your interpretation of the question... ;-)
Answer:
Exponentials and logarithms are inverses of each other.
Step-by-step explanation:
Exponentials and logarithms are inverses of each other.
For logarithmic function:
Domain = 
, Range = 
Vertical asymptote is y - axis.
x - intercept is (1,0)
For exponential function:
Domain = , Range =
Horizontal asymptote is x - axis.
y- intercept is (0,1)
Both exponential and logarithmic functions are increasing.
For example:
Solve: 
