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kirill115 [55]
3 years ago
7

Find a general solution of y" + 4y = 0.

Mathematics
1 answer:
klio [65]3 years ago
8 0

Answer:

y(x)=C_{1}cos2x+C_{2}sin(2x)

Step-by-step explanation:

It is a linear homogeneous differential equation with constant coefficients:

y" + 4y = 0

Its characteristic equation:

r^2+4=0

r1=2i

r2=-2i

We use these roots in order to find the general solution:

y(x)=C_{1}cos2x+C_{2}sin(2x)

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Answer:

A = 10,000(1.05t) where t is in years

Step-by-step explanation:

I'm going to assume that the expectation that Cameron has is the amount of money after t years.

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We can plug in 10,000 for P and 0.05 for r, giving us

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8 0
2 years ago
A scientist has 100 milligrams of a radioactive element. The amount of radioactive element remaining after t days can be determi
grandymaker [24]
The mass of the first shipment at time t is
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The mass of the second shipment at time t is
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At time t, the ratio of m₁ to m₂ is
\frac{m_{1}}{m_{2}} = \frac{100}{100}. \frac{(1/2)^{t/10}}{(1/2)^{(t-3)/10}} \\ =  \frac{(1/2)^{t/10}}{(1/2)^{t/10}}. \frac{1}{(1/2)^{-3/10}} \\ = (1/2)^{3/10} \\ = 0.8123

Therefore as a percentage,
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4 0
4 years ago
Determine whether the graph of y^5=x^3 is symmetric with respect to the Y axis the x-axis or the origin.
zhannawk [14.2K]

9514 1404 393

Answer:

  the origin

Step-by-step explanation:

Both terms are of odd degree, so the function is an odd function. It is symmetrical with respect to the origin.

__

If you recast this as y = f(x), then ...

  f(x) = x^(3/5)

When we look at f(-x), we find ...

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An odd root of a number has the same sign as the number.

When f(-x) = -f(x), the function is odd and symmetrical about the origin.

7 0
3 years ago
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It’s c because when the number of simply it gets u that
8 0
3 years ago
Read 2 more answers
Determine for each number whether it is a rational or irrational number.
gizmo_the_mogwai [7]
The first is an irrational number and the rest are rational
Any number that can be reduced or written as a fraction is a rational number
Hoped this helped
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3 years ago
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