For the following integral, give a power or simple exponential function that if integrated on a similar infinite domain will have the same convergence or divergence behavior as the given integral, and use that to predict whether the integral converges or diverges. Note that for this problem we are not formally applying the comparison test; we are simply looking at the behavior of the integrals to build intuition.
∫(x+5)/x^3+7x+5 dx
Answers
Answer:
hello your question is incomplete attached below is the complete question
answer :
for I1 = [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex] The integral converges
for I2 = [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex] The integral diverges
for I3 = [tex]\frac{1}{x^2}[/tex] The integral converges
for I4 = 1 The integral diverges
Step-by-step explanation:
The similar integrands and the prediction ( conclusion )
for I1 = [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex] The integral converges
for I2 = [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex] The integral diverges
for I3 = [tex]\frac{1}{x^2}[/tex] The integral converges
for I4 = 1 The integral diverges
attached below is a detailed solution
Related Questions
What is the solution to the equation?
Answers
Answer:
32.13
Step-by-step explanation:
g = 15.3 x 2.1 = 32.13
Answer:
g= 15.3 *2.1= 32.13
Hence answer is 32.13
Help me with this please 100 points if its done right
Answers
Answer:
[tex]P=24\sqrt{x}[/tex] and [tex]A=36x[/tex]
Step-by-step explanation:
To find the perimeter of the triangle, you have to add all the sides of the triangle. So, we get:
[tex]P=8\sqrt{x} +7\sqrt{x} +9\sqrt{x}[/tex]
Combine like terms, meaning the numbers with [tex]\sqrt{x}[/tex]
[tex]P=24\sqrt{x}[/tex]
To find the area of the triangle, we will use the formula [tex]A=\frac{1}{2} bh[/tex], where b is the base and h is the height
The base is: [tex]9\sqrt{x}[/tex]
The height is: [tex]8\sqrt{x}[/tex]
Plug and chug:
[tex]A=\frac{1}{2} *9\sqrt{x} *8\sqrt{x}[/tex]
[tex]A=\frac{1}{2} *72x\\A=36x[/tex]
A map has a scale of 1/2 inches=16 miles the distance between two parks on the map is 2 3/4 inches how many miles apart are the parks
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Answer:
88
Step-by-step explanation:
I need help. This is due tonight at 11:59 pm
Answers
Answer:
Answer: $118.50 per day
Step-by-step explanation:
1,000-348.25= 651.75
651.75÷5.5= 118.50
Factor Completely:::
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If this helped you then please consider marking this as brainliest
Answer:
6x²+27x+24
3(2x²-9x+8)
A circular placemat has 44 inches of braid around the edge. What is the area of the placemat to the nearest square inch? Use 3.14 for π.
Answers
Answer:
153.86 in^3
Step-by-step explanation:
Given data
A circular placemat has 44 inches of braid around the edge
hence the circumference of the placemat is 44 in
C= 2πr
44= 2*3.14r
r= 44/2*3.14
r= 44/6.28
r= 7.00 in
Area= πr^2
Area= 3.14*7^2
Area= 3.14*49
Area= 153.86 in^3
Hence the area is 153.86 in^3
Find the value of x
PLEASE HELP!!
Answers
Answer:
x =45
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
3x+45 = 180
Subtract 45 from each side
3x+45-45 =180-45
3x= 135
Divide by 3
3x/3 = 145/3
x =45
For f(x) = 2x+1 and g(x) = x2 – 7, find (f/g)(x)
Answers
Step-by-step explanation:
Since f(x) is "2x + 1" and g(x) is "x2 - 7" then f(x) + g(x) [which is the same as (f + g)(x)] is "2x + 1" + "x2 - 7" which is 2x + 1 + x2 - 7 or x2 + 2x - 6
So (f + g)(x) = x2 + 2x - 6
is it right? i hope it is
KEVIN USES EACH OF THE DIDGETS 5,7,4 AND 9, ONCE AND ONCE ONLY. TO MAKE FOUR DIDGET NUMBERS. WHATS THE LARGEST AND SMALLEST NUMBER HE CAN MAKE?
Answers
Answer:
9754 and 5794
Step-by-step explanation:
Answer:
Largest - 9,754
Smallest - 4,579
Step-by-step explanation:
Find angle picture below
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Answer:
T = 67.5
V = 22.5
Step-by-step explanation:
The Sum of triangle angles = 180
180 = W + T + V
180 = 90 + 3X + X
X = 22.5
Given that R = 6x + 9y
Find y when X = 1 and R= 39
Give your answer as an improper fraction in its simplest form.
y=
Answers
Answer:
11/3
Step-by-step explanation:
x=1, R=39, y=?
R=6x + 9y
(substitute the parameters into the equation)
39=6(1) + 9y
39= 6 + 9y
(collect like terms)
39 - 6 =9y
33=9y
(divide both sides by 9)
33/9=9y/9
11/3=y
therefore, y= 11/3
2x + 3 – 4 = 5x - 7
2
-2
- 9
9
Answers
2x + 3 - 4 = 5x - 7
=> 2x + 3 - 4 + 7 = 5x
=> 3 - 4 + 7 = 5x - 2x
=> 3 - 4 + 7 = 3x
=> -1 + 7 = 3x
=> 6 = 3x
=> 6/3 = x
=> 2 = x
Step-by-step explanation:
2x + 3 - 4 = 5x - 7 2x - 1 = 5x - 7 (-1 + 7 )= 5x - 2x6 = 3x 6 ÷ 3 = x2 = xMARK ME AS BRAINLISTA line has a slope of 2. It passes through the points, (1,2) and (3,y) . what is the value of y?
Answers
Answer:
y=6
Step-by-step explanation:
y=mx+b
y=2x+0
the y-intercept is at the origin so going off that when you go to put your line on a graph you come off with the points (0,0) (1,2) (2,4) and finally your answer (3,6)
A teacher gives her class a particular examination on mathematics at the end of each year. The results are normally distributed with a mean test score of 60 and a standard deviation of 8. The teacher has told the class that students with a test score in the top 2.5% will win a special prize. Calculate the test score above which 2.5% of all test scores lie. Give your answer to 1 decimal place. Test score
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Answer:
Test score of 75.7.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The results are normally distributed with a mean test score of 60 and a standard deviation of 8.
This means that [tex]\mu = 60, \sigma = 8[/tex]
Calculate the test score above which 2.5% of all test scores lie.
Above the 100 - 2.5 = 97.5th percentile, which is the value of X when Z has a pvalue of 0.975, so X when Z = 1.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 60}{8}[/tex]
[tex]X - 60 = 8*1.96[/tex]
[tex]X = 75.7[/tex]
Test score of 75.7.
Make x the subject of the formula a = b x + c
Answers
Answer:
[tex] x = \frac{a - c}{b}[/tex]
Step-by-step explanation:
[tex]a = bx + c \\ \\ a - c = bx \\ \\ \orange{ \bold{x = \frac{a - c}{b}}} [/tex]
pls helppppppppppppppppppppp
Answers
Answer:
10 2/3
Step-by-step explanation:
Multiply 4 and 2 and then multiply 2 and 4. If you do that then you get 8 8/3. You then just take the numerator and turn it into whole numbers to get 10 2/3.
remi and vishal start at the same point and begin jogging in different directions. remi is jogging east at a speed of 4 miles per hour. vishal is jogging South at a speed of 2 miles per hour. after how many hours will they be exactly 12 miles apart
Answers
Answer:
2.68 hours
Step-by-step explanation:
If a guy named josh got 45 bucks for his b-day and already had 237 bucks. How much money does josh have all together.
Will give brainly!!!!!!
Answers
Answer:
That’s easy it is 282
Step-by-step explanation:
He will now have 282 bucks altogether.
Step-by-step explanation:
We already know that he has 237 bucks before his birthday, but now he has an additional 45 bucks that he got from his birthday. With this, you can create an equation that looks like this: 237+45. You then solve the equation by adding 45 to 237, which gets you 282 bucks altogether.
Which of the following is a solution to the inequality below?
10b≤ 59
A.) b=2
B.) b=7
C.) b=11
D.) b=9
Answers
Answer:
A.) b=2
Step-by-step explanation:
10b ≤ 59
Divide both sides by 10.
b ≤ 5.9
Any number that is 5.9 or less than 5.9 is a solution.
The only such number in the choices is 2.
Answer: A.) b=2
Fine floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install carpet in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answers
Answer:
5 hours and 13 minutes
Step-by-step explanation:
Hope this helps!! Please mark brainlliest.
Mike spent 11/12 hour talking on his cell phone. Brent spent 7/12 hour talking on his cell phone. How much more time did mike spend on his cell phone than Brent?
Write in the simplest form. Be sure to put your answer as well as the unit (hour).
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Answer:
1/3
Step-by-step explanation:
What is the equation of the function that is graphed as line b?
Answers
Answer:
I feel like this is a trick question
----
so I don't know what 5*7 is because it confusing
Answers
Answer:
35/16
Explanation:
(5*7)/2^4
= 35/2^4
= 35/16
Note:
Please mark as brainliest! <3
Why is California at higher risk for earthquakes than North Dakota
( Also i know this isnt math but people answer faster when its in math )
Answers
Answer:
Step-by-step explanation:
Because calfornia is right next to Ocean
which is cube number
Answers
Answer:
??????
Step-by-step explanation:
Answer:
2³ = 2 × 2 × 2 = 8.
3³ = 3 × 3 × 3 = 27.
4³ = 4 × 4 × 4 = 64.
5³ = 5 × 5 × 5 =125.
Step-by-step explanation:
Kelsey uses the similarity statement Triangle R S T is similar to triangle R U V to describe the triangles below.
Triangle R U V. Side V R is 4 centimeters, R U is 1.5 centimeters, and V U is 2.7 centimeters. Triangle R S T. Side R S is 3.0 centimeters, R T is 8.0 centimeters, and S T is 5.4 centimeters.
Which best describes the accuracy of her statement?
Accurate. Each pair of sides corresponds with a common ratio of 2.
Accurate. The description of each triangle begins at the same vertex.
Inaccurate. In the order listed, the ratio between each pair of sides is different.
Inaccurate. The description of the triangles in the similarity statement moves clockwise in one triangle and counterclockwise in the other triangle.
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Answer:
A
Accurate. Each pair of sides corresponds with a common ratio of 2.
Step-by-step explanation:
edge 2021
Each pair of sides corresponds with a common ratio of 2. The correct option is A.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
If two figures have three sides similar then they will be similar by side-by-side property which is written as SSS.
Given that Triangle R U V. Side V R is 4 centimetres, R U is 1.5 centimetres, and V U is 2.7 centimetres. Triangle R S T. Side R S is 3.0 centimetres, R T is 8.0 centimetres, and S T is 5.4 centimetres.
The two triangles have a common ratio of 2.
R U = 1.5 cm
R S = 3.0 cm
V R = 4 cm
R T = 8.0 cm
The correct option is A.
To know more about similarities follow
https://brainly.com/question/24184322
#SPJ6
b is 30 more than a. b is 6 times as many as a. Find the values of a and b.
Answers
Answer:
a = 6 and b = 36
Step-by-step explanation:
Set up equations:
b = 30 + a
b = 6a
Subtract the two equations:
b = 6a
- (b = 30 + a)
5a - 30 = 0
5a = 30
divide both sides by 5
a = 6
Plug a = 6 into the original equation:
b = 30 + 6
b = 36
you could also do:
b = 6 * 6
b = 36
Answer:
Step-by-step explanation:
PLEASE HELP! INVERSE QUESTION!
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Last one.
Hope this helps.
WILL MARK BRAINLIEST AND EXTRA POINTS ONLY HAVE 5 MINS
Answers
Answer:
1/3?
Step-by-step explanation:
what is the value of 1/3x squared + 5.2y when x=3 and Y=2
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Answer:
13.4
Step-by-step explanation:
1/3(3²) + 5.2(2) = 3 + 10.4
