Calculus BC Help - Series
6. Let f be the function defined by f(x)=1x2+9.

(a) Evaluate the improper integral ∫∞3f(x) dx, or show that the integral diverges.
(b) Determine whether the series ∑n=3∞f(n) converges or diverges. State the conditions of the test used for determining convergence or divergence.
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges.

Answer:

a and c

Step-by-step explanation:

I think a and c would work for this problem

Answer:

The relation is [tex]y = -1.5x[/tex]

Step-by-step explanation:

x and y are directly proportional:

This means that the equation is given by:

[tex]y = ax[/tex]

In which a is the multiplier that relates these two variables.

x= -4, y =6

We use this to find a. So

[tex]y = ax[/tex]

[tex]6 = -4a[/tex]

[tex]a = -frac{6}{4}[/tex]

[tex]a = -1.5[/tex]

So

The relation is [tex]y = -1.5x[/tex]

Answer: for |9x – 11 < 4

7/9<x<5/3

Step-by-step explanation:

interval notation:

(7/9 , 5/3)

Answer:

3 with the power of 2

Step-by-step explanation:

This is greater because when you multiply 3 by 3 you get 9, and when you multiply 2 x 2 x 2 you get 8

Answer:

Radiant energy is the energy of electromagnetic waves.

Step-by-step explanation:

I

Radiant energy is energy that is transferred by electromagnetic radiation.

Example:

The heat emitted from a campfire.

Answer:

Advantages:

● Bar charts are pretty easy to interpret, and there's a very clear relationship between size and value that allows easy comparison.

● They're simple to make and most people have experience creating and understanding them from school.

● They can help in presenting very large or very small values more emphatically.

Disadvantages:

● Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. For example, a bar chart for the numbers 5, 6, 10 and 378 will lend extreme visual weight to the highest value and make the relative values of the other measurements appear irrelevant. An alternative to this would be creating an adjusting scale for the bars, but this complicates the visual aspect of the presentation and breaks the intuitive sense that size correlates directly to value.

● Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensional.

I hope it's helpful!

Answer:

Advantages:

Disadvantages:

The interquartile range is a better measure of spread because, The interquartile range is often seen as a better measure of spread than the range as it is not affected by outliers.

hope it helps.

have a good day.

Answer:

She's correct

Step-by-step explanation:

EDG 2021

Answer:

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

4+(-15)=

-11

Answer:

7.5

Step-by-step explanation:

The ratio between the two numbers in each set are the same, so the process used to get from 4 to 6 could also be used to find x. 6/4=1.5, so 4*1.5=6. Multiplying 5 by 1.5 would get x. 5*1.5=7.5, so x=7.5.

Answer:

It would be 11/3

Step-by-step explanation:

Answer:the anser is 66

Step-by-step explanation:2=33

33+33=66

Answer:

not sure but I think it's B... I'm so sorry if it's wrong!

Step-by-step explanation:

Nice to meet you❤️

Answer:

no babe

Step-by-step explanation:

Answer:

I will first divide the shape into two rectangles. first rectangle area would be 60x15=900mm^2. next rectangle is 20x30=600mm^2. 900+600=1500mm^2. the area is 1500mm^2, which is answer D

Step-by-step explanation:

Mark me brainliest and I give you luck boost on the test :)

420.69

Step-by-step explanation:

He lunch was fire

answe ac

Step-by-step explanation:because 827.0837

Answer:

3.8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+5^2=6^2

a^2+25=36

a^2=36-25

a^2=11

a=3.3

but on the answers provided write 3.8 because its close

Step-by-step explanation:

To find 5/6 of the area, multiply the area that was found in part A , as the question states by 5/6.

⅚ × Area found in part A.

Answer: See explanation

Step-by-step explanation:

ΔLNM and ΔLKN are 30°- 60°- 90° triangles

We have to find the length of LN before we can find the length of MN.

In a 30°- 60°- 90° triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times √3

Since the hypotenuse is 6, the short leg would be 3 since the hypotenuse is 2 times the length of the short leg.

LN = √3 times the shorter leg

3 × √3 = 3√3

LN = 3√3

We now know the length of the longer leg in ΔLNM (3√3)

MN would be 3√3 × √3

3√3 × √3

= 3√9

= 3 × 3 = 9

MN = 9

ΔLKM is also a 30° - 60° - 90° triangle

The short leg is 6 m

The hypotenuse would be 12 m

The longer leg would be 6√3

Perimeter: 6 + 12 + 6√3

The perimeter is 18 + 6√3

Area: 1/2 × b × h

b = 6√3

h = LN = 3√3

6√3 × 3√3

18√9 = 18 × 3 = 54

Area: 54 m²

Hope it helps!!

Answer:

You will have 28 dollars in 4 hours

Step-by-step explanation:

4 x 7 =28

Answer:

25% or 30L

Step-by-step explanation:

100% is 120L, we know 75% is acid, we need the other 25% to make the 100%. 25% of 120 is 30, so 30 liters is pure acid

Answer:

21+10.5

=31.5 ²

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...

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Answer:

2 \frac{1}{4}