The ODE has characteristic equation
with roots 
, and hence the characteristic solution
For the particular solution, assume an ansatz of 
, with derivatives
Substituting these into the ODE gives
so that the particular solution is
Answer: The answer would be 398.5750
Step-by-step explanation: The ten thousandths place is the fourth digit to the right of the decimal.
Answer:
120 miles
Step-by-step explanation:
Let d represent the number of miles driven on the first day. Then 1.5 times d came to 180 miles. Dividing both sides of this equation by 1.5 to isolate d, we get:
180 miles
--------------- = 120 miles
1.5
Thefamily drove 120 miles during the first day of their trip.
Determine whether each sequence is geometric? <br>
1) 60,48,36,24,12,…<br>
2) 3,6,12,24,48,…
balandron [24]
Answers:
- Not geometric
- Geometric
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Explanation for problem 1
Divide each term over its previous term.
- term2/term1 = 48/60 = 0.8
- term3/term2 = 36/48 = 0.75
We can stop here. The two results 0.8 and 0.75 do not match up, so we don't have a common ratio. Therefore, this sequence is <u>not</u> geometric. A geometric sequence must have each ratio of adjacent terms to be the same value throughout the list of numbers.
Side note: This sequence is arithmetic because we are subtracting the same amount each time (12) to generate each new term.
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Explanation for problem 2
Like before, we'll divide each term by its previous term.
- term2/term1 = 6/3 = 2
- term3/term2 = 12/6 = 2
- term4/term3 = 24/12 = 2
- term5/term4 = 48/24 = 2
Each ratio found was 2. This is the common ratio and it shows we have a geometric sequence. It indicates that each term is twice that of its previous term. Eg: the jump from 12 to 24 is "times 2".
Answer:
One pair of socks would be 1 dollar and 30 cents
Step-by-step explanation:
you divide the price of the socks by how many socks there are to get the answer.
