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3 years ago

Of Composite Shapes P5

Mathematics

1 answer:

ycow [4]3 years ago

8 0

It is 114, because you subtract 6 from 15. So, the bigger thing is 90, add the smaller one onto it, 6 times 4 equals 24, 90+24=114.

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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

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

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

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

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

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

2 years ago

Decimal And fraction in meters of 8 centimeters

netineya [11]

Ok so
Knowing that 1 metre consists of 100cm,
You can conclude and agree that 8 cm is 8/100, correct?
Now, when converting fractions to decimals, it makes it easier out of 100 or 10. Since it's out of 100 already, you take the amount of zero's in 100 (two) and you move the decimal point (2) places to the left

This gives you 0.08
So the fraction is 8/100, which then can be simplified to 4/50, then to 2/25
and the decimal is 0.08.

5 0

3 years ago

Help I will give brainliest if u help !!!!!

Sidana [21]

Answer:

14 in

Step-by-step explanation:

6 0

2 years ago

Which theorem is correct

kogti [31]

Answer:

The SSS theorem

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

50 POINTS !! PLEASE HELP ILL GIVE BRAINLIEST !!

dybincka [34]

Answer:

3.9 miles

Step-by-step explanation:

Use phytagoras theorem

c²=a²+b²

4²=1²+b²

16=1+b²

b²=16-1

b²=15

$\sqrt{15}$

b= 3.872

≈3.9miles

6 0

3 years ago