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Elodia [21]
3 years ago
12

Estimate 543-358 then find the difference

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

Answer:

185

Step-by-step explanation:

5 4 3

3 5 8

= 185

Seempleee

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Use the continuous compound interest formula to find the indicated value. A=90,000; P=65,452; r=9.1%; t=? t=years (Do not round
Inga [223]
Using continuous compounding, we have:
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D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

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which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
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This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
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3 years ago
Simplify the expression:<br> X^2 (2x + 3)
Natasha2012 [34]

Answer:

<h2>2x^3+3x^2</h2>

Step-by-step explanation:

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3 years ago
Read 2 more answers
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