Complete the tree map by using the review words.
1 answer:
Answer:
Number sentences.
Addition-Addend-Sum.
Subtraction-Difference.
Step-by-step explanation:
1. By definition Number sentences contains number and common symbols.
2. They can be: "Addition" (which has "Addend" that form the "Sum") and "Subtraction" (whose result is known as "Difference").
3. You can see the answer of the tree map in the figure attached.
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Take the homogeneous part and find the roots to the characteristic equation:
This means the characteristic solution is
.
Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form
. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.
With
and 
, you're looking for a particular solution of the form 
. The functions 
satisfy
where
is the Wronskian determinant of the two characteristic solutions.
So you have
So you end up with a solution
but since
is already accounted for in the characteristic solution, the particular solution is then
so that the general solution is
This means the characteristic solution is
Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form
With
where
So you have
So you end up with a solution
but since
so that the general solution is
Scientific notation implies that all the zeros are taken away and replaced with a 10 raised to whatever appropriate power would be necessary to make the number in scientific notation equal to the original number.
In the number 780,000,000, we can see that there are 7 zeros, but the number before the zeros has two digits, so we need to tuck the decimal point in there, because the number has to be between 1 and 10 for math reasons.
7.8 ... but what do we raise it to? We know it has to be 10, but to what power? Well, we just count how many places to the left the decimal point has traveled. From the original number, the decimal point shifted 8 places to the left, so that is the number that we will raise the 10 to.
The final number looks like this:
780,000,000 in scientific notation is <span>
Hope that helped =)</span>
In the number 780,000,000, we can see that there are 7 zeros, but the number before the zeros has two digits, so we need to tuck the decimal point in there, because the number has to be between 1 and 10 for math reasons.
7.8 ... but what do we raise it to? We know it has to be 10, but to what power? Well, we just count how many places to the left the decimal point has traveled. From the original number, the decimal point shifted 8 places to the left, so that is the number that we will raise the 10 to.
The final number looks like this:
780,000,000 in scientific notation is <span>
Hope that helped =)</span>