The function is decreasing on the interval (- infinity, + infinity).
Step-by-step explanation:
the amplitude is the height of the wave.
like with sound - the further away you are, the lower the volume of the sound (as the sound volume is the indicator of the amplitude of a sound wave, or the brightness of a light is the indicator of the amplitude of a light wave).
the same for any other type of wave (like the seismic wave of an earthquake).
so, the larger the distance, normally the smaller the amplitude.
Answer:
3.14
Step-by-step explanation:
First find the circumference of the circle:
= Circumference.
= 
Find the ratio of the angle in relation to the entire circle:
is what we have. So:

Use the ratio and multiply the circumference to find the length:
= 
Round answer to the hundredth:
Answer:
see explanation
Step-by-step explanation:
Differentiate using the product rule
Given y = f(x)g(x), then
= f(x). g'(x) + g(x). f'(x)
here f(x) =
⇒ f'(x) = 
g(x) = cosx ⇒ g'(x) = - sinx
Hence
=
(- sinx) + cosx 
=
cosx -
sinx
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