Answer:

General Formulas and Concepts:
<u>Algebra I</u>
- Exponential Rule [Rewrite]:

<u>Calculus</u>
[Area] Limits of Riemann's Sums - Integrals
Integration Rule [Reverse Power Rule]:
Integration Rule [Fundamental Theorem of Calculus 1]: 
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Find Area</u>
- [Integral] Set up area:

- [Integral] Rewrite:

- [Integral] Reverse Power Rule:

- [Area] Fundamental Theorem of Calculus:

Topic: Calculus
Unit: Basic Integration/Riemann Sums
Book: College Calculus 10e
y=mx+c is the equation for a line graph, m is the gradient and c is where it goes through the y axis, the only difference between y=mx+c and y=mx+b is where u live as in different countries learn it different ways but it is still the same thing
Answer:
4.5 units
Step-by-step explanation:
To get the distance we need the coordinates of the points
A is ( 3,1)
B is (-1,-1)
Let A be (x1,y1) and B be (x2,y2)
So applying the formula, we have the distance as;
D = √(-1-3)^2 + (-1-1)^2
D = √(16 + 4)
D = √20
D = 4.5 units
I just realized I forgot a whole unit we did this year, but a(n)=5n-12
is the explicit form if that helps at all
Answer:
Step-by-step explanation:
given a point
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form
, the y intercept is b and the x intercept is
.
So, in our case, the y intercept is
and the x intercept is
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at
. Using the properties of derivatives, we get
. So evaluated at
we get 
Replacing the values in our previous findings we get that the y intercept is

The x intercept is

The triangle in consideration has height
and base
. So the area is

So regardless of the point we take on the graph, the area of the triangle is always 2.