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aleksandrvk [35]
3 years ago
14

How do I solve this problem?

Mathematics
1 answer:
evablogger [386]3 years ago
4 0
I genuinely don't know what the point is of the table, where do you use it for?
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y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order DE y'' + 25y = 0. If possible, find a sol
TEA [102]

Answer:

y = 2cos5x-9/5sin5x

Step-by-step explanation:

Given the solution to the differential equation y'' + 25y = 0 to be

y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.

According to the boundary condition y(0) = 2, it means when x = 0, y = 2

On substituting;

2 = c1cos(5(0)) + c2sin(5(0))

2 = c1cos0+c2sin0

2 = c1 + 0

c1 = 2

Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given

y(x) = c1cos5x + c2sin5x

y'(x) = -5c1sin5x + 5c2cos5x

If y'(π) = 9, this means when x = π, y'(x) = 9

On substituting;

9 = -5c1sin5π + 5c2cos5π

9 = -5c1(0) + 5c2(-1)

9 = 0-5c2

-5c2 = 9

c2 = -9/5

Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation

y = c1 cos(5x) + c2 sin(5x) will give

y = 2cos5x-9/5sin5x

The final expression gives the required solution to the differential equation.

3 0
3 years ago
Find the area of the blue shaded region. Round your answer to the nearest hundredth.
SSSSS [86.1K]

Answer:

173.01

Step-by-step explanation:

To area of a sector or portion of a circle is found using:

A = \frac{N}{360} \pi r^2

Substitute N = 50 and A = 27.93.

It becomes 27.93 = \frac{50}{360} \pi r^2\\27.93 = 0.139 \pi r^2\\200.94 = \pi r^2

The area of the entire circle is 200.94. The area of the blue part of the circle can be found by subtracting the red section from the entire circle.

200.94 - 27.93 = 173.01

3 0
3 years ago
John bought 6 dumplings for $3.00.
Vedmedyk [2.9K]

For every 6 dumplings bought, you get charged $3.00 plus 7 cents for every dollar. Hope this helps:)

8 0
3 years ago
PLEASE HELP!!<br> is it right??
nydimaria [60]
You did good, it IS correct.
7 0
3 years ago
Pls picture is very easy help pls
Ira Lisetskai [31]
Where is the pic sir?
6 0
2 years ago
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