/sci/ - Science & Math

>>11415770
>volume of the sound produced by them in unison double
Not really. The intensity of a sound's pressure wave itself is proportional to the square of the amplitude of the wave, so sound intensity will actually increase by factor of four. However, your ears perceive sound logarithmically. The acoustic gain would be [math]
10\log 4\ \text{dB}\approx 6\ \text{dB} [/math]
>or will the Hz combine to 3400Hz
No. You still have 1700 Hz.
>>11416761
They banned me.
>>11417127
Directly from Euler's formula you can get [math] \sin\theta=\frac{1}{2j}\big(e^{j\theta}-e^{-j\theta}\big) [/math] and [math] \cos\theta=\frac{1}{2}\big(e^{j\theta}+e^{-j\theta}\big) [/math]. Now just cover up all the j's to get the definitions of the associated hyperbolic functions. tanh=sinh/cosh just like tan=sin/cos. The derivative of sinh is cosh and the derivative of cosh is sinh. All other properties you should be able to derive from the definition that is now hopefully easier to remember.
>>11417466
>what are some ODE applications to electrical engineering besides Maxwell's Equations
You can't understand the transient or steady state response of a circuit without DEs and Laplace transforms are imperative to get the transfer function of a system.
>>11417547
>Would the sand clump and form a ball?
Probably not. There's lots of other forces in space. Even without them, it would take a very, very long time.