Answer:
The original amount owned on a loan is known as principal.
The rate of change represents the <em>variable production</em> cost rate. The <em>production</em> cost is increased in 1200 units per each <em>additional</em> manufactured car.
<h3>
Interpretation of a linear function</h3>
Let be
and
the production cost and the number of vehicles produced, it there is a <em>linear</em> relationship between the two variables, then we have the following formula:
(1)
Where:
- Fixed production costs.
- Variable production cost rate.
In a nutshell, the rate of change represents the <em>variable production</em> cost rate. The <em>production</em> cost is increased in 1200 units per each <em>additional</em> manufactured car.
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Here ya go. I wrote it down because I don’t know how to type exponents on my phone. Hope this helps
Answer: The correct option is second, i.e., x>0.
Explanation:
As we know that the domain is the set of all possible inputs. If function is defined as, f(x) then all possible value of x for which the function f(x) is defined is called domain.
In a graph the domain is defined on the x axis and the range of the function is defined on y-axis.
In the given graph the function is defined from x=0 to
because for
the graph is not defined. It means for
the function is not defined.
Sicen the graph is defined for all positive values of x, therefore the domain of the function is al real number greater than 0. It can be written as x>0 and the second option is correct.
Given:
The expression is:

To find:
The integration of the given expression.
Solution:
We need to find the integration of
.
Let us consider,

![[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]](https://tex.z-dn.net/?f=%5B%5Cbecause%201%2B%5Ccos%202x%3D2%5Ccos%5E2x%2C1-%5Ccos%202x%3D2%5Csin%5E2x%5D)

![\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Ctan%20%5Ctheta%20%3D%5Cdfrac%7B%5Csin%20%5Ctheta%7D%7B%5Ccos%20%5Ctheta%7D%5Cright%5D)
It can be written as:
![[\because 1+\tan^2 \theta =\sec^2 \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%201%2B%5Ctan%5E2%20%5Ctheta%20%3D%5Csec%5E2%20%5Ctheta%5D)


Therefore, the integration of
is
.