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joja [24]
3 years ago
11

Find the particular solution to y ' = 4sin(x) given the general solution is y = c - 4cos(x) and the initial condition y of pi ov

er 2 equals 2
Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

The general solutions always have some additive/multiplicative constant, that you must fix in the particular solution.

In order to do so, you need to impose that the particular solution passes through a certain point. In your case, you have

y(x) = c-4\cos(x)

and you want

y\left(\dfrac{\pi}{2}\right) = 2

Put everything together, and you have

y\left(\dfrac{\pi}{2}\right) = c-4\cos\left(\dfrac{\pi}{2}\right) = c = 2

Since the cosine is zero in the chosen point. So, we've fixed the value of the constant, and the particular solution is found:

y(x) = 2-4\cos(x)

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Each alice is 1/10 of an orange if he brings 12 whole oranges how many sloces are there ?
aev [14]

Answer:

there are 120 slices of orange.

Step-by-step explanation:

The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.

3 0
2 years ago
Read the statement, and identify the expressions that are equivalent.
Digiron [165]
B. (n + 15) x 3--- That seems to be the correct answer. I hope I helped!
5 0
3 years ago
Osama starts with a population of 1,000 amoebas that increases 30% in size every hour for a number of hours, h. The expression 1
Blizzard [7]

Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.

Explanation:

From the given information,

Initial population = 1000

Increasing rate or growth rate = 30% every hour.

No of population increase in every hour is,

1000\times \frac{30}{100} =1000\times 0.3

Total population after h hours is,

1000(1+0.3)^h

It is in the form of,

P(t)=P_0(t)(1+r)^t

Where P_0(t) is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex]  is the growth factor after time t.

In the above equation 1000 is the initial population and (1+0.3)^h is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.

Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.

3 0
3 years ago
Read 2 more answers
12. What value of c would make x = 4 in the<br> equation 5 + cx = 13 ?
Pavel [41]
Plug in 4 for x and solve equation like so. c=2

4 0
3 years ago
A bag with 8 marbles has 4 red marbles, 3 blue marbles, and 1 yellow marble. A marble is chosen from the bag at random. What is
Andrei [34K]

Answer:

P = 4 / ( 4 + 3 +1 )

= 4 / 8

= 4 / 8 =  1 / 2

Hope it helps

Please mark me as the brainliest

Thank you

8 0
3 years ago
Read 2 more answers
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