<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:
All in the explanation
Step-by-step explanation:
It would be a dollar for every mile traveled, in this case 10 dollars as Ms. Robinson travels 10 miles.
The starting cost would be 5 dollars to rent it and then 1 dollar for every mile.
Equation would be 1(x) + 5
The cost of Ms. Robinsons trip would be 1(10) + 5 = 15 dollars.
It is not.
First, divide 36 by 4.
= 9
So, 9 for each hat.
9 x 7 =63
In conclusion, it is in fact not equivalent.
3/7 for sure hope this helps
Answer:
1. 155 yd², 2. 379.54 ft², 5. x = 65.82π
Step-by-step explanation:
1. A = (1/2) · (3 + 13) · 8
A = (1/2)(16)(8)
A = 64
A = bh
A = 13*7
A = 91
64 + 91 = 155
155 yd²
2. A = bh
A = 25x25
A = 625
A = πr²
A = 3.14*12.5²
A = 3.14*156.25
A = 490.625
490.925/2 = 245.4625
625 - 245.4625 = 379.5375
379.54 ft²
3. and 4. Sorry, I don't know how to solve these
5. A = πr²
A = 3.14*7²
A = 3.14*49
A = 153.86
x/154 = 153.86π/360
360x = 154*153.86π
360x = 23694.44π
x = 65.8178889π
x = 65.82π
Hope this helps :)
