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ki77a [65]
3 years ago
15

Determine whether the integral from -3 to infinity 1/sqrt (5 - x) is divergent or convergent. If it is convergent, evaluate it.

If not, state your answer as divergent .
Mathematics
1 answer:
BigorU [14]3 years ago
5 0

It's divergent because 1/√(5 - <em>x</em>) is defined only for <em>x</em> < 5, which means the integral from 5 to infinity doesn't exist.

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kondor19780726 [428]
Dice have six sides. So 6 cubed would be 216. Does that sound right?
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Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that
juin [17]

Answer:

The Taylor series of f(x) around the point a, can be written as:

f(x) = f(a) + \frac{df}{dx}(a)*(x -a) + (1/2!)\frac{d^2f}{dx^2}(a)*(x - a)^2 + .....

Here we have:

f(x) = 4*cos(x)

a = 7*pi

then, let's calculate each part:

f(a) = 4*cos(7*pi) = -4

df/dx = -4*sin(x)

(df/dx)(a) = -4*sin(7*pi) = 0

(d^2f)/(dx^2) = -4*cos(x)

(d^2f)/(dx^2)(a) = -4*cos(7*pi) = 4

Here we already can see two things:

the odd derivatives will have a sin(x) function that is zero when evaluated in x = 7*pi, and we also can see that the sign will alternate between consecutive terms.

so we only will work with the even powers of the series:

f(x) = -4 + (1/2!)*4*(x - 7*pi)^2 - (1/4!)*4*(x - 7*pi)^4 + ....

So we can write it as:

f(x) = ∑fₙ

Such that the n-th term can written as:

fn = (-1)^{2n + 1}*4*(x - 7*pi)^{2n}

6 0
3 years ago
(−2k <br> 3<br> −7k <br> 2<br> +5k)+(6k <br> 2<br> +3k)=
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Answer: 5k +7

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7 0
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erik [133]

Answer:

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Step-by-step explanation:

Basically, you subtract: 5.82 - 13.87 = 1.95

Then, see:    15.82 - 1.950 = 13.87

Then you have your answer :D

Ashley has to pour 1.95 more grams of salt.

Brainliest, please???  :>

3 0
2 years ago
Read 2 more answers
Amber's bank statement shows a closing balance of $224.13. There are no outstanding checks or deposits. Her checkbook shows a ba
kotykmax [81]

Answer:

The Possibilies is given below.

Step-by-step explanation:

Given Amber's bank statement shows a closing balance of $224.13. There are no outstanding checks or deposits. Her checkbook shows a balance of $221.38.

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One possibility that is due to the previous month account balance and the another

The interest is certainly a possibility since interest would add additional money to her account and if the interest was $2.75 and she added that to her balance.

6 0
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