Ask question

Ask question

All categories

1 year ago

14

What conclusions can be made about the series ∞ 6 cos(πn) n n = 1 and the integral test?

1 answer:

Murrr4er [49]1 year ago

7 0

Depending on how the function is set up, i presume that it is a sum (epsilon) function that is being referred to. Depending on if the function is increasing or decreasing on the interval (infinity to 6??), will determine if the function is convergent or not. When 1 is plugged into cos( $(\pi n)n$ it is positive and therefor converging.

You might be interested in

Draw the number 24 then draw a quick picture to show 24 after you have to regrouped 1 ten as 10 ones explain how both pictures s

Vesnalui [34]

First draw 24 shapes of your choice.

Then, in a different space or below those 24 shapes, draw 10 more shapes twice. So draw 10 shapes and draw 10 more next to them. Finally, draw 4 more shapes with space between them and say "10+10+4=24"

6 0

1 year ago

the number 792 and 990, written as the product of their prime factors are 792 = 23 x 32 x 11 and 990 = 2 x 9 x 5 x 1. Hence, fin

noname [10]

Answer:

198

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers

The graph of f(x) = StartRoot x EndRoot is reflected across the x-axis and then across the y-axis to create the graph of functio

Anna35 [415]

Answer:

<em>The only value that is in the domains of both functions is 0</em>

<em>The range of g(x) is all values less than or equal to 0</em>

Step-by-step explanation:

As the original function is

$f(x) = \sqrt{x}$

Since, domain is the set of all possible input values that define the function, and range is the set of all possible output values for all possible domain values for which the function is defined.

The domain of $f(x) = \sqrt{x}$ will be [0, ∞)

The range of $f(x) = \sqrt{x}$ will be [0, ∞)

Please check the attached <em>figure a</em> for visualizing the graph of $f(x) = \sqrt{x}$ .

<u><em>Impact of double transformation:</em></u>

When the function $f(x) = \sqrt{x}$ is reflected across x-axis, the function becomes $y = -\sqrt{x}$ after first transformation

After the second transformation across y-axis, the function $y = -\sqrt{x}$ becomes $g(x) = -\sqrt{-x}$

For

$g(x) = -\sqrt{-x}$

$-x$ must be equal to or greater than zero for $g(x) = -\sqrt{-x}$ to be defined i.e. -x ≥ 0.

So,

-x ≥ 0 can be written as x≤ 0

So,

The domain of $g(x) = -\sqrt{-x}$ will be (∞, 0]
The range of $g(x) = -\sqrt{-x}$ will be (∞, 0]

Please check the attached figure a for visualizing the graph of $g(x) = -\sqrt{-x}$ .

So, from the above discussion, we can say that

0 is the only that is in the domain of both function.
The range of g(x) is all values less than or equal to 0

So,

Only two statements are true about the functions f(x) and g(x) are true which are:

<em>The only value that is in the domains of both functions is 0</em>

<em>The range of g(x) is all values less than or equal to 0</em>

<em>Keywords: graph, function</em>

<em>Learn more about graph and function from brainly.com/question/11152594</em>

<em>#learnwithBrainly</em>

8 0

1 year ago

Read 2 more answers

A parallelogram whose vertices have coordinates R(1, -1), S(6, 1), T(8, 5), and U(3, 3) has a shorter diagonal of ___ . 5 √(13)

butalik [34]

Answer:

$|SU|=\sqrt{13}$

Step-by-step explanation:

The given parallelogram has vertices R(1, -1), S(6, 1), T(8, 5), and U(3, 3) .

Recall the distance formula;

We use the distance formula to determine the length of the diagonals.

For diagonal R(1,-1) and T(8,5), We have;

$|RT|=\sqrt{(8-1)^2+(5--1)^2}$

$|RT|=\sqrt{(7)^2+(6)^2}$

$|RT|=\sqrt{49+36}$

$|RT|=\sqrt{85}$

For the diagonal S(6,1) U(3,3)

$|SU|=\sqrt{(6-3)^2+(5-3)^2}$

$|SU|=\sqrt{(3)^2+(2)^2}$

$|SU|=\sqrt{9+4}$

$|SU|=\sqrt{13}$

Therefore the shorter diagonal is:

$|SU|=\sqrt{13}$

4 0

1 year ago

A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon-per-minute showerheads. Each m

kykrilka [37]

Answer:

Family will save 3600 gallons of water by replacing the shower-heads.

Step-by-step explanation:

Number of family members in a family = 5

Each member of the family averages shower per day = 8 minutes

Total time for shower = 5×8 = 40 minutes

With a 5 gallon shower-heads each member will use water in a day = 5×40 = 200 gallons

Water consumption in 30 days = 200×30 = 6000 gallons per month

After replacing the shower-heads with 2 gallons per minute shower-heads family will use the amount of water = 40×2= 80 gallons per day

Water used in one month = 80×30 = 2400 gallons

Now water save by the family in 30-day period = 6000 - 2400 = 3600 gallons

Therefore, family will use 3600 gallons less water by replacing the water saving water heads.

8 0

1 year ago