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2 years ago

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

1 answer:

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.

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You and your team are planning a space mission. You want to visit each planet listed in the chart in the most efficient way poss

Daniel [21]

You would go to Neptune, Uranus, Saturn, Jupiter, Mars, Earth (to refuel), Mercury, Venus

6 0

1 year ago

Complete the steps for solving 7 = –2x2 + 10x. Factor out of the variable terms. inside the parentheses and on the left side of

Mamont248 [21]

we have

$7=-2x^{2} +10x$

Factor the leading coefficient

$7=-2(x^{2} -5x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$7-12.50=-2(x^{2} -5x+2.5^{2})$

$-5.50=-2(x^{2} -5x+2.5^{2})$

Divide both sides by $-2$

$2.75=(x^{2} -5x+2.5^{2})$

Rewrite as perfect squares

$2.75=(x-2.5)^{2}$

Taking the square roots of both sides (square root property of equality)

$x-2.5=(+/-)\sqrt{2.75}$

Remember that

$\sqrt{2.75}=\sqrt{\frac{11}{4}}= \frac{\sqrt{11}}{2}$

$x-2.5=(+/-)\frac{\sqrt{11}}{2}$

$x=2.5(+/-)\frac{\sqrt{11}}{2}$

$x=2.5+\frac{\sqrt{11}}{2}=\frac{5+\sqrt{11}}{2}$

$x=2.5-\frac{\sqrt{11}}{2}=\frac{5-\sqrt{11}}{2}$

<u>the answer is</u>

The solutions are

$x=\frac{5+\sqrt{11}}{2}$

$x=\frac{5-\sqrt{11}}{2}$

5 0

1 year ago

Read 2 more answers

What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?

svet-max [94.6K]

Answer:

The simplified sum of these polynomials is 3x^4y - 2xy^5

Step-by-step explanation:

In order to find this, we need to remember that we can only add together like terms in this case, there are only two like terms. Both of the first terms end in x^2y^2. So, we add these two together.

3x^2y^2 - 3x^2y^2 = 0

Since they cancel out, we simply just put the other two terms as our answer.

3x^4y - 2xy^5

4 0

2 years ago

Read 2 more answers

Emma wants to use the distributive property to solve this equation.

Art [367]

Answer:

The answer will be x = 8

Step-by-step explanation:

the last step: 5x = 40

you divide 5 both sides: 5x/5 = 40/5

then you got your answer: x = 8

4 0

2 years ago

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Lisa the numbers least to greatest -2/5 -2.47 -2 1/2 5 21/4

Paraphin [41]

Answer:

least to greatest are:

-2.5, -2.47, -2/5, 5, 21/4

3 0

2 years ago