Answer:

Step-by-step explanation:
we know that
The area of the bedspread that is red is equal to the area of rectangle minus the area of the circle
step 1
Find the area of rectangle
The area is equal to

step 2
Find the area of the circle

we have
----> the radius is half the diameter
assume

substitute


step 3
Find the area of the bedspread that is red
Find the difference of the areas

You would have 40 dimes..
Answer:
Euler's method is a numerical method used in calculus to approximate a particular solution of a differential equation. As a numerical method, we have to apply the same procedure many times, until get the desired result.
In first place, we need to know all the values the problem is giving:
- The step size is 0.2; h = 0.2. This step size is a periodical increase of the x-variable, which will allow us to calculate each y-value to each x.
- The problem is asking the solution y(1), which means that we have to find the y-value assigned for x = 1, through the numerical method.
- The initial condition is y(0) = 9. In other words,
.
So, if the initial x-value is 0, and the step size is 0.2, the following x-value would be:
; then
;
; and so on.
Now, we have to apply the formula to find each y-value until get the match of
, because the problem asks the solution y(1).
According to the Euler's method:

Where
, and
;
.
Replacing all values we calculate the y-value assigned to
:
.
Now,
,
. We repeat the process with the new values:

Then, we repeat the same process until get the y-value for
, which is
, round to four decimal places.
Therefore,
.
In order to isolate any term from an equation we need to clear out any different variable or numbers different from the one we want

in this case I is being multiplied by R, so we need to do the opposite which is divide in order to eliminate

But since this is an equality we must do it on both sides so de equation does not get altered

Then we simplify the equation
Answer:
15
Step-by-step explanation:
Given that a1 = 6
an = 3 + 2(an-1),
Substitute n = 2 into the formula
a2 = 3 + 2(a1)
a2 = 3 + 2(6)
a2 = 3+12
a2 = 15
Hence the second term of the sequence is 15