<h2>
Part 1.</h2>
Answer: 
The limit of the difference quotient is simply the derivative, so we can express this as follows:
So our function is:
Taking the derivative, we have:
So the correct option is:
<h2>Part 2.</h2>
Answer: 
The equation of the line that passes through the same point can be found as:
Where 
, so we need to find 
. Plug in that x-value in the function we have:
And the slope is:
Then, the equation of the line is:
<h2 /><h2>Part 3.</h2>
Answer: Shown below
As you can see below, the graph of the function of 
is continuous. This is so because we have plotted a polynomial function whose domain is the set of all real numbers. So the function is defined at the point 
, so the derivative exists at this point, hence we can calculate a tangent line there. In conclusion, we get the graph shown below. The blue line is the tangent line while the red curve is the graph of
Answer:
We are asked to draw a diagram which is shown in the picture below.
Step-by-step explanation:
The rectangular box is shown in the picture below with 'O' as the origin and with its (4,5,6) opposite vertices and with its faces parallel to the (PQR) coordinates planes.
Answer:
0.66653334
Step-by-step explanation:
The area of the face of the square is the side length x the side length. So 0.3333 x 0.3333 = 0.11108889. Since a square has 6 sides, multiply 0.11108889 with 6. So it equals 0.66653334.
The percent of change is 9%
