Answer:
2160 cm³/hour
Step-by-step explanation:
By default, we know that the volume of a cube is given as s³
Thus, the Volume function, V = s³
When we differentiate with respect to time we have
dV/dt = 3s² (ds/dt), where ds/dt = 0.2
Then we go ahead and substitute all the given parameters
dV/dt = 3 x 60 x 60 x 0.2
dV/dt = 10800 * 0.2
dV/dt = 2160 cm³/hour
This means that the volume decreases by a rate of 2160 cm³/hour at the instant its edge is 60 cm
Answer:
The vertical line test can be used to determine whether a graph represents a function.
If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
Derivatives can be calculated from graphed functions.
The values of the derivatives are:
The given parameter is:
Start by calculating the equations of f(x) and g(x)
<u>Graph f(x)</u>
The slopes of f(x) are: 3/2 and -3/2
So, the equations are:
<u>Graph g(x)</u>
The slope of g(x) is: -1/2
So, the equation is:
<u>For x = 1 and x = 2, we have:</u>
So, we have:
Where:
and
becomes
Open brackets
Differentiate
So:
For x = 3, we have:
Where:
and
becomes
Differentiate
Substitute 3 for x
Hence, the values of the derivatives are:
, and
Read more about graphed functions at:
brainly.com/question/11804653
Solve the equation for x. X+48=649*(1/x)
2x+3+5x+10
2x+5x+3+10
7x+13
=7x+13
