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3 years ago

Tell whether the line or segment is the best described as a chord,a diameterdiameter,or a raduis of a circle

Mathematics

1 answer:

Aliun [14]3 years ago

3 0

Answer:

Step-by-step explanation:

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Find maclaurin series

Mumz [18]

Recall the Maclaurin expansion for cos(x), valid for all real x :

$\displaystyle \cos(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}$

Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives

$\displaystyle \cos\left(\sqrt 5\,x\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt5\,x\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^{2n}}{(2n)!}$

The first 3 terms of the series are

$\cos\left(\sqrt5\,x\right) \approx 1 - \dfrac{5x^2}2 + \dfrac{25x^4}{24}$

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

$\displaystyle \cos\left(\sqrt{5x}\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt{5x}\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^n}{(2n)!}$

which amounts to replacing the x with √x in the expansion of cos(√5 x) :

$\cos\left(\sqrt{5x}\right) \approx 1 - \dfrac{5x}2 + \dfrac{25x^2}{24}$

7 0

2 years ago

A car goes 125 miles on 12 1/2 gallons of gas. How far will the car travel on 1 gallon of gas?

fgiga [73]

Answer:

Step-by-step explanation:

125/12.5

5 0

4 years ago

Determine the domain of the function. f(x)=4/x^2

harkovskaia [24]

Since x can be any value as long as the denominator equals 0 (it doesn't matter if it's positive or negative), we have to figure out when x^2=0, which is when x=0. Therefore, the domain is (-inf, 0) U (0, inf)

3 0

3 years ago

A=20 cm b=48 cm What is the length of c?

Ainat [17]

The value of c is 52

8 0

3 years ago

10 pts if you answer

lana66690 [7]

Answer:

idk dude

Step-by-step explanation:

5 0

3 years ago