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
R
135
Р
S
Given isosceles trapezoid PQRS.
what are the measures of angles P. Q, S?
Answers
Answer:
huushshsusjvevshshd
Step-by-step explanation:
q=135 s and p= 45
18 more than the product of k and 5 Evaluate the expression for the value of the variable, k : 7 Please type your answer in the box below. NUMBERS ONLY!
Answers
Answer:
The Answer Is 125.
Step-by-step explanation:
As, 18 More Than K Means
18 More Than 7
So, It's 25
Then Evaluate 25 With 5
It's 25(5)
Or 25 × 5
It's 125.
24 - 3x Evaluate each expression if x = 5
Answers
Answer:
9
Step-by-step explanation:
24 - 3(5)
24 - 15
9
good luck, i hope this helps :)
Joshua wants to buy sport shoe cost P435.30 if he saved from his allowance a total of P289.75 how much does he still need to buy the shoe
Answers
Answer:
P 145.55
Step-by-step explanation:
435.30 - 289.75 = 145 .55
If f(x)=3x-1 find the following f(3) f(2)
Answers
Answer:
(4(f(2)
Step-by-step explanation:
If f(x(=3x-1 then f(3)f(2)
The function d =
45t gives the distance d Juan traveled in miles after t hours.
is this discrete or continuous data?
Answers
Answer:
Continuous data
Step-by-step explanation:
Given
[tex]d = 45t[/tex]
Required
Discrete or Continuous?
From the question, we understand that t represents time in hours. This is a continuous data.
When multiplied by 45 to give distance, the resulting data is also continuous.
Hence, [tex]d = 45t[/tex] is continuous
Answer:
d = 2.5t, continuous
Step-by-step explanation:
Just did it on Edge and got it right
Help me people u r my only hope!
Choose all of the values that are equivalent to -(1/3)
A. -1/3.
B. 1/-3
C. -1/-3
D. 1/3
E. -(-1/3)
Answers
Answer:
D)1/3 ?
Step-by-step explanation:
Maybe 1/3
Do some research, I guess it's D).
I hope that helps (:
1. The entire fraction is negative if the numerator or denominator are negative.
if both parts of the fraction were negative, the entire fraction would be positive (- / - = +)
2. Of course, although most teachers ask you to put the negative sign in the fraction as a whole (before the fraction line) or in the numerator. never leave a fraction with two signs. in this case, if it has two signs and they are different, the whole fraction is NEGATIVE
3) No. the whole fraction is POSITIVE only if both the numerator and the denominator have the same sign, + + or - -
Anybody know how to do lowest terms and can teach me how to get the answer to lowest terms questions?
Answers
Answer:
Step-by-step explanation:
6/9+x=7/10
x=7/10-6/9
when adding fractions both denominators must be equal, we’ll make them 90
x=(7/10)(9/9)-(6/9)(10/10)
x=63/90-60/90
x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3
x=(3/3)/(90/3)
x=1/30
3. FIELD TRIP There is space for 120
students to go on a field trip. Currently
,
74 students have signed up. Write and
solve an inequality to find how many
more students can sign up for the
field trip.
i need help plz
Answers
well if
120-74=46
then 46 is the correct answer.
74+46= 120
46 more students can sign up for the field trip.
Answer:
74 + (x) = 120
Step-by-step explanation:
subtract 74 from 120
120 - 74 = 46
Suppose you have a tablet with a capacity of gigabytes. For a plain text book, one byte typically corresponds to one character and an average page consists of 2000 characters. Assume all gigabytes are used for plain text books.
a. How many pages of text can the tablet hold?
b. How many 500 page books can the tablet hold?
Answers
Answer:
tablet can hold 500000 pages of text .
tablet can hold 1000 books of 500 pages
A person who is standing on a ledge throws a rock into the air. The rock reaches a maximum height of 676 feet
above the ground after 1.5 seconds.
If the rock hits the ground below the ledge 8 seconds after it is thrown, which quadratic function can be used to find
the height of the rock above the ground t seconds after it is thrown?
Answers
Answer:
The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta= b^{2} - 4ac[/tex]
Quadratic equation:
[tex]ax^2 + bx + c = 0[/tex]
The rock reaches a maximum height of 676 feet above the ground after 1.5 seconds.
This means that:
[tex]-\frac{b}{2a} = 1.5[/tex]
[tex]y_{v} = -\frac{b^2-4ac}{4a} = 676[/tex]
If the rock hits the ground below the ledge 8 seconds after it is thrown
This means that:
[tex]64a + 8b + c = 0[/tex]
Relation of b and a:
[tex]-\frac{b}{2a} = 1.5[/tex]
This means that:
[tex]b = -3a[/tex]
Relationship of c and a:
[tex]64a + 8b + c = 0[/tex]
[tex]64a - 24a + c = 0[/tex]
[tex]c = -40a[/tex]
Finding a:
[tex]y_{v} = -\frac{(-3a)^2-4a(-40a)}{4a} = 676[/tex]
[tex]9a^2+160a = -2704a[/tex]
[tex]9a^2 + 2864a = 0[/tex]
[tex]a(9a + 2864) = 0[/tex]
Since it is a quadratic equation, a cannot be 0.
[tex]9a + 2864 = 0[/tex]
[tex]9a = -2864[/tex]
[tex]a = -\frac{2864}{9}[/tex]
[tex]a = -318.22[/tex]
Finding b and c:
[tex]b = -3a = -3(-318.22) = 954.67[/tex]
[tex]c = -40a = -40(-318.22) = 12728.89[/tex]
The quadratic equation is given by:
[tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]
The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]
WHAT IS 1/2 + 3/4 PLZ ANSWER REALLY REALLY URGENT!!!!!!!!!!!!!
Answers
Answer: it is 1.25
hope i helped
Answer:
1.25
Step-by-step explanation:
yeah
Mutations happen at a steady rate.
True
False
Answers
PLEASE HURRY I WILL MARK BRAINIEST
The new wing of an art
museum has 3 times
as many windows as
the old wing. Together,
both wings have
32 windows. How many
windows are in
the new wing?
Answers
Answer: 24
Step-by-step explanation:
32/4 = 8
3 * 8 = 24
24 + 8 = 32
There are 24 windows in the new wing.
Hope this helped! :)
pls help quickly maath
Answers
Because it says squares to the circles
So you count the squares first then the circles
So it is 3/6 .
Answer:
It should be A
Step-by-step explanation:
Since it is asking for the squares to circles, it is not option c. B is also incorrect because the ratio is not correct, which leaves the only answer to be A.
What is answer for (11x-32)=45
Answers
Answer: x=7
Step-by-step explanation:
(11x-32)=45
We move all terms to the left:
(11x-32)-(45)=0
We get rid of parentheses
11x-32-45=0
We add all the numbers together, and all the variables
11x-77=0
We move all terms containing x to the left, all other terms to the right
11x=77
x=77/11
x=7
(4 1/4x + 8) + (-1 1/2x - 12)
Answers
Answer:
(19x-290)/(4(x+2)(x-6)
Step-by-step explanation:
Apply Fraction Rule:
(41)/(4x+8)-(11)/(2x-12)
Factor:
(41)/4(x+2)-(11)/(2x-12)
Factor:
(41)/4(x+2)-(11)/2(x-6)
LCM:
(41)(x-6)/(4)(x+2)(x-6)-(22(x+2))/(4)(x+2)(x-6)
Expand:
= (19x-200)/4(x+2)(x-6)
give an example of two or more like terms
Answers
Answer:
2x + 3x
3x + 10x
Step-by-step explanation:
like Terms are individual terms that have the same variable in them
Write the equations of each line in slope-intercept form.
Answers
And for the one on the bottom is, y=-x+4
hi can you please help me with my work
Answers
Answer:
The answer is 3 1/2 inches!
Step-by-step explanation:
Help please with this
Look at picture
Complementary angles
Answers
Answer:
70°
Step-by-step explanation:
80° - x + 80° = 90° { being complementary angles }
160° - x = 90°
x = 180° - 90°
x = 70°
Hope it will help :)
Please help me
What type of association does the graph show between x and y?
Answers
Answer:
Linear positive association
B. Subtract the following integers
16.9 - (-5) =
17. - 12 - ( + 8) =
18. 15 - 9=
19. - 5 - (-8)=
20. - 11 - ( + 14 ) =
Answers
Answer:
16. 9 - (-5) = 21.9
17. -12 - ( + 8) = -4
18. 15 - 9 = 6
19. -5 - (-8)= 3
20. -11 - ( + 14 ) = -25
Step-by-step explanation:
Subtracting a negative from another number is the same as adding the number. Thus, 16.9 - (-5) = 16.9 + 5.
Hope it helps <3 :)
Answer:
16.9-(-5)=21.9
17.-12-(+8)= -3
18.15-9=9.15
19.-5-(-8)=22
20.-11-(+14)=-5
I have a quick question please someone answer Is 5/8 irrational?
Answers
Answer:
no
Step-by-step explanation:
5/8=0.6250 so its rational
Answer: no
Step-by-step explanation: 5/8 is rational because it is another way of writing the ratio 5:8. So no, 5/8 is not an irrational number.
how do you solve problems like 6.45/0.25
Answers
Answer:
25.8
Step-by-step explanation:
divide
Answer:
divide like i said
Step-by-step explanation:
The average ratio of cats to dogs in the uk is 13:15 there are 5200 cats in the city of Bristol . Using the national average ratio , estimate how many dogs there are in the city of Bristol
Answers
Answer:
5,999
Step-by-step explanation:
A full-time employee who works 40 hours per week earns $27.50 per hour. Estimate that person's income. Round 52 weeks to 50 weeks per year, and round the hourly wage to the nearest dollar for the estimate. what is the estimated of annual income?
Answers
fifty five thousand 55,000
the coefficient of x in the expression of(x+3) (x-1) is
Answers
Answer:
i think 4
Step-by-step explanation:
[tex]x^{2} +4x-3[/tex]
The difference between 30 and a number is 4.
Answers
Answer:
26
Step-by-step explanation:
30-4=26
thirty minus four equal 26
Jake feeds some chickens 1/8 of a bag of chicken feed each day. If he has 8 bags of feed, how many days will the feed last?
Answers
Answer:
1/2
Step-by-step explanation:
because if he has 8 bags he wil only have half a bag left