Divide each term by 6 and simplify.
x = −9
Answer: March to April shows the least increase of average temperature.
130 If you multiply that’s what it would give you so I’m not sure what those answers are
Answer:
B= 133° C= 47°
Step-by-step explanation:
As shows on the right it's 133°
A= 133°
c+a =180° -a
= 180° -133°
=47°
a and c complement each other and
b= a = 133°
a and b are vertical angles
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Recall the Maclaurin expansion for cos(x), valid for all real x :
![\displaystyle \cos(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ccos%28x%29%20%3D%20%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20%28-1%29%5En%20%5Cfrac%7Bx%5E%7B2n%7D%7D%7B%282n%29%21%7D)
Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives
![\displaystyle \cos\left(\sqrt 5\,x\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt5\,x\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^{2n}}{(2n)!}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ccos%5Cleft%28%5Csqrt%205%5C%2Cx%5Cright%29%20%3D%20%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20%28-1%29%5En%20%5Cfrac%7B%5Cleft%28%5Csqrt5%5C%2Cx%5Cright%29%5E%7B2n%7D%7D%7B%282n%29%21%7D%20%3D%20%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20%28-5%29%5En%20%5Cfrac%7Bx%5E%7B2n%7D%7D%7B%282n%29%21%7D)
The first 3 terms of the series are
![\cos\left(\sqrt5\,x\right) \approx 1 - \dfrac{5x^2}2 + \dfrac{25x^4}{24}](https://tex.z-dn.net/?f=%5Ccos%5Cleft%28%5Csqrt5%5C%2Cx%5Cright%29%20%5Capprox%201%20-%20%5Cdfrac%7B5x%5E2%7D2%20%2B%20%5Cdfrac%7B25x%5E4%7D%7B24%7D)
and the general n-th term is as shown in the series.
In case you did mean cos(√(5x)), we would instead end up with
![\displaystyle \cos\left(\sqrt{5x}\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt{5x}\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^n}{(2n)!}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ccos%5Cleft%28%5Csqrt%7B5x%7D%5Cright%29%20%3D%20%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20%28-1%29%5En%20%5Cfrac%7B%5Cleft%28%5Csqrt%7B5x%7D%5Cright%29%5E%7B2n%7D%7D%7B%282n%29%21%7D%20%3D%20%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20%28-5%29%5En%20%5Cfrac%7Bx%5En%7D%7B%282n%29%21%7D)
which amounts to replacing the x with √x in the expansion of cos(√5 x) :
![\cos\left(\sqrt{5x}\right) \approx 1 - \dfrac{5x}2 + \dfrac{25x^2}{24}](https://tex.z-dn.net/?f=%5Ccos%5Cleft%28%5Csqrt%7B5x%7D%5Cright%29%20%5Capprox%201%20-%20%5Cdfrac%7B5x%7D2%20%2B%20%5Cdfrac%7B25x%5E2%7D%7B24%7D)