Answer: Observational study
Step-by-step explanation: I just took the test
If

then

The ODE in terms of these series is



We can solve the recurrence exactly by substitution:


So the ODE has solution

which you may recognize as the power series of the exponential function. Then

Answer:
8
Step-by-step explanation:
i guessed
Answer:
128.86 cm^2
Step-by-step explanation:
So to start off we need to find the area of the rectangle.
The formula for the area of a rectangle is
×
.
L stands for the length which is 12 and w is the width which is 11.
So 11 × 12 = 132 cm^2.
Now time for the area of a circle.
The formula for that is
.
So first we need to do 1 × 1 which is 1.
Then 1 ×
which is just
.
Then we do 132 -
which is an irrational number.
It looks like this shortened 128.858407346.
Now rounding to the nearest hundreth it would be 128.86 cm^2.
Hence, the area of the shaded region is 128.86 cm^2.
Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations


Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.

Arrange equation variables for elimination

Subtract the equations




Now, solve -2x = 6 for x

Divide both sides by -2

Simplify

For y - x = -2 plug in x = -3


Subtract 3 from both sides

Simplify

The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.