Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:
Area 2:
Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
Answer:
<em>i: </em>x=-2, x=1
<em>ii: </em>x=-1/2
Step-by-step explanation:
Quadratic form:
You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.
<em>"first"</em> would be , which would equal
<em>"outside"</em> would be , which would equal
<em>"inside"</em> would be , which would equal
<em>"last" </em>would be , which would equal
Now you need to combine the terms so that they are one after the other
Combine like terms, and you should get:
i Solution
<em>You need to get the variable by itself.</em>
<em>Subtract two from both sides</em>
<em>Add one to both sides.</em>
ii Solution
<em>Add all the terms.</em>
Answer:
a)
b) 5464 inhabitants.
Step-by-step explanation:
The formula used for compound interest becomes very helpful in this case.
Knowing this, we can easily calculate the value for any year, counting from the original 5000.
From this formula, we can derive a specific one that will serve for any value of <em>t</em>.
a)
b) Apply the formula:
The town will have 5464 inhabitants.
