Answer:
Yp = t[Asin(2t) + Acos(2t)]
Yp = t²[At² + Bt + C]
Step-by-step explanation:
The term "multiplicity" means when a given equation has a root at a given point is the multiplicity of that root.
(a) r1=-2i; r2=2i g(t)=2sin(2t) + 3cos(2t)
As you can notice the multiplicity of this equation is 1 since the roots r1 = 2i and r2 = 2i appear for only once.
The form of a particular solution will be
Yp = t[Asin(2t) + Acos(2t)]
where t is for multiplicity 1
(b) r1=r2=0; r3=1 g(t)= t² +2t + 3
As you can notice the multiplicity of this equation is 2 since the roots r1 = r2 = 0 appears 2 times.
The form of a particular solution will be
Yp = t²[At² + Bt + C]
where t² is for multiplicity 2
I'm going to convert all the values given to you in percentages, so hopefully you should be able to see the correct answer a little clearer. :)
Debbie said that 21/50 drink coffee in the morning. 21/50 can also be written as 42/100, and now that it's out of 100, it's basically a percentage. (42%).
Allen said that 45% of people drink coffee in the morning. His value is already written as a percentage, so we won't do anything with it.
Benny says that 0.495 of the people he surveyed drink coffee in the morning. 0.495 is the same as 49.5% (multiply it by 100 to get it in a percentage).
So, in Debbie's survey, 42% of people drink coffee.
In Allen's survey, 45% of people drink coffee.
In Benny's survey, 49.5% of people drink coffee.
Therefore, the answer is Benny's survey. :)
Answer: $480
Explanation: First, change the percentage to a decimal by dividing by 100. 40/100 = .4
Then multiply .4 by the cost, $1200. .4*1200 = $480
13 and 1/2. This is because 4.5 times 3 is equal to 13.5
