Explain why each of the following integrals is improper. (a) 4 x x − 3 dx 3 Since the integral has an infinite interval of integration, it is a Type 1 improper integral. Since the integral has an infinite discontinuity, it is a Type 2 improper integral. The integral is a proper integral. (b) [infinity] 1 1 + x3 dx 0 Since the integral has an infinite interval of integration, it is a Type 1 improper integral. Since the integral has an infinite discontinuity, it is a Type 2 improper integral. The integral is a proper integral. (c) [infinity] x2e−x2 dx −[infinity] Since the integral has an infinite interval of integration, it is a Type 1 improper integral. Since the integral has an infinite discontinuity, it is a Type 2 improper integral. The integral is a proper integral. (d) π/4 cot(x) dx 0 Since the integral has an infinite interval of integration, it is a Type 1 improper integral. Since the integral has an infinite discontinuity, it is a Type 2 improper integral. The integral is a proper integral.

Answers

Answer 1

Answer:

a

   Since the integral has an infinite discontinuity, it is a Type 2 improper integral

b

   Since the integral has an infinite interval of integration, it is a Type 1 improper integral

c

  Since the integral has an infinite interval of integration, it is a Type 1 improper integral

d

     Since the integral has an infinite discontinuity, it is a Type 2 improper integral

Step-by-step explanation:

Considering  a

          [tex]\int\limits^4_3 {\frac{x}{x- 3} } \, dx[/tex]

Looking at this we that at x = 3   this  integral will be  infinitely discontinuous

Considering  b    

        [tex]\int\limits^{\infty}_0 {\frac{1}{1 + x^3} } \, dx[/tex]

Looking at this integral we see that the interval is between [tex]0 \ and  \  \infty[/tex] which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  c

       [tex]\int\limits^{\infty}_{- \infty} {x^2 e^{-x^2}} \, dx[/tex]

Looking at this integral we see that the interval is between [tex]-\infty \ and  \  \infty[/tex] which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  d

        [tex]\int\limits^{\frac{\pi}{4} }_0  {cot (x)} \, dx[/tex]

Looking at the integral  we see that  at  x =  0  cot (0) will be infinity  hence the  integral has an infinite discontinuity , so  it is a  Type 2 improper integral

     


Related Questions

which expert is an example of indirect characterization

Answers

Answer:

Juana pretended to be sick so that she wouldn't have to go to school.

Step-by-step explanation:

Which excerpt is an example of indirect characterization?

-Jett was a kind boy who was always willing to help anyone in need.

-Mariana was a chatterbox and could talk for hours about any subject.

-Juana pretended to be sick so that she would not have to go to school.

-Lamar was jealous of his older brother Omar, who was a skilled soccer player. NextReset

Jayden is saving money to buy the new Jordan 11's. He
needs $220 to get them. He already has $60 saved and
he makes $20 a week doing chores around the house

Answers

Answer:

it will take Jayden 8 weeks to save money for the Jordan 11's

Step-by-step explanation:

$60 = 3 weeks

$220 = 11 weeks

subtract the three weeks from the amount of time it would take without the saved money

$220 = 8 weeks

or

subtract saved amount from total = $160 and divide by 20

which subsequent true/false statement is true?

Answers

Answer:

True is corect

Step-by-step explanation:

true = true

Find the slope of a pipe that slopes down 1/3 inch per foot

Answers

Answer:

-1/36

Step-by-step explanation:

The slope is of [tex]\mathbf{-\frac{1}{3}}[/tex]

----------------------

We use a linear function to understand this question, which has equation given by:

[tex]y = mx + b[/tex]

The slope is m, which is the rate of change, that is, how much y changes when x changes by 1.In this problem, for each foot, the pipe slopes down [tex]\frac{1}{3}[/tex] of an inch. Thus, the slope is [tex]m = -\frac{1}{3}[/tex]

A similar problem is given at https://brainly.com/question/18594541

how much babysitting will i have to do if i make 5.50 an hour and the dress i want is 52.25 math Using double number line

Answers

Answer:

9,5 hrs

Step-by-step explanation:

If 999 is divided by 4, what is the remainder?

Answers

Answer The remainder Is 3

Jill bought a house for $250,000. The expected depreciation of a house is 18% a year. When will her
house be worth $200,000?

Answers

Answer is 1 year 1 month and 5 days

This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?

Answers

Answer:

x=-14

Step-by-step explanation:

The x-intercept of a line is the value of x that makes y=0.

A line can be expressed in its slope-intercept form:

y=mx+b

Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.

Let's find the slope of the line.

Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's pick the first two points of the table (-94,24) (-74,18). The slope is:

[tex]\displaystyle m=\frac{18-24}{-74+94}=\frac{-6}{20}=-\frac{3}{10}[/tex]

The equation of the line is:

[tex]\displaystyle y=-\frac{3}{10}x+b[/tex]

Now use one of the points to find b, for example (-94,24):

[tex]\displaystyle 24=-\frac{3}{10}\cdot (-94)+b[/tex]

Operating:

[tex]\displaystyle 24=\frac{141}{5}+b[/tex]

Solving:

[tex]b=24-\frac{141}{5}=-\frac{21}{5}[/tex]

The complete equation of the line is:

[tex]\displaystyle y=-\frac{3}{10}x-\frac{21}{5}[/tex]

To find the x-incercept, set y=0 and solve:

[tex]\displaystyle 0=-\frac{3}{10}x-\frac{21}{5}[/tex]

[tex]\displaystyle x=\frac{\frac{21}{5}}{-\frac{3}{10}}=-\frac{21}{5}\cdot \frac{10}{3}[/tex]

x=-14

ZA and B are complementary angles. If mA = (6x + 22)° and m
ZB = (7x + 16)°, then find the measure of ZB.

Answers

44 degrees of its worded the way I think. You definitely have the wording mixed up but u add both angles together and set equal to 90

what is the reciprocal of 5 3/7

Answers

Answer: 7/38

Step-by-step explanation:

So first you have to take the mixed number out of it mixed number form by multiplying 7 x 5 and then adding 3 giving you 38/7(you keep the denominator the same. Then you flip the fraction giving you 7/38.:)

Hope this helps!


How to estimate 5x179

Answers

Answer:

895

Step-by-step explanation:

if u need to estimate, multiple 5 by 180, and then subtract 5

PLEASE HELP MEE!!!
If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?

Answers

Answer:

eighth graders

Step-by-step explanation:

Answer:eighth

Step-by-step explanation:

Factorise 4x^2+28x^3

Answers


Answer 4x^2 (7x+1)
Hope it helps!!!

I think #1 is wrong but i can't figure it out​

Answers

Answer:

the mistake is x and y x is 6 and y is 4 so it would be 5x6 and 4^2 divide by 2

Step-by-step explanation:

the right one is 5x-y^2 divide 2

                           5x6-4^2 divide 2

                            5x6-16 divide 2

                             30-8

                                 22

At which value in the domain does f(x) = 0?
X=-3
X=0
X=1
X=4

Answers

at -3 because you if f(0) that means the x is 0, but if f(x) =0 then for what x value does it the y = 0
so where does the line cross the y axis
at x=-3

Put is in order least to greatest. -13/6, -2.1, -26/13, -9/4

Answers

Answer:

-9/4, -13/6,-2.1,-26/13

Answer:

-26/13, -13/6,  -2.1, -9/4

Step-by-step explanation:

Sorry its from greatest to least

1
The weight of water is 62-
2
lb per cubic foot. Water that weighs 275 lb will fill how many cubic fe
Water that weighs 275 lb will fill cubic feet.

Answers

Answer:

it will fill alot :)

Step-by-step explanation:

#(28282!#+#82(!29192)2!2(2(:)))))))

You have 90 oz of egg noodles. You need 5 oz to make one serving of chicken noodle soup. How many servings can you make?

Answers

Answer: 450 oz

Step-by-step explanation: multiply

Answer:

You can make 18 servings.

Step-by-step explanation:

Can someone help me please

Answers

Answer:

The ratio is 6

4 gallons of chocolate milk how many bottles if 2 pints per bottle.

Answers

Answer:

there are 32 bottles needed

Step-by-step explanation:

Thanks

What is the standard form of the number shown in this calculator display?

The calculator shows five point nine three e negative five

Answers

Answer:

The standard form of the number shown in the calculator display as 1.46e-6 = 1.46 X 10^-6 = 0.00000146.

Step-by-step explanation:

hope this helped ✨

Consider the table representing an exponential function.


The equation for this function is

f(x) =

Answers

Answer:

Its 8, and 0.5

Step-by-step explanation:

What is the mode of the following data values?
54, 78, 16, 26, 16
O A. 26
O B. 38
O C. 16
O D. 48

Answers

Answer: C. 16

Step-by-step explanation:

The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency.

Answer:

C

Step-by-step explanation:

because in the given data the number which is 16 is repeated twice so it means it is the mode. Because when we say mode it is the most used number im the given date


Fabio is driving west away from Albany and towards Buffalo along Interstate 90 at a constant rate of speed
of 62 miles per hour. After driving for 1.5 hours, Fabio is 221 miles from Albany.

Answers

Answer:

a) ( D - 128 ) = m ( 1,5 - 0)

b) D = 62*h + 128

Step-by-step explanation:

Fabio drives at a constant speed of 62 miles per hour therefore:

62 * 1,5 = 93 miles

But he is 221 miles away from Albany, then he started

221 - 93 = 128 miles from Albany

In a coordinates system D (distance in the  y-axis ), and h ( hours in x-axis), we have two points

h₁ = 0 (h)  D (y intercept) = 128   miles       and   h = 1,5 (h)   D = 221 miles

P₁ ( 0 , 128 )      P₂ ( 1,5  , 221 )

Then the equation for straight-line passing through two points is:

m  = ( D - D₁ ) / ( h - h₁ )

( D - D₁ ) = m ( h - h₁ )

a) ( D - 128 ) = m ( 1,5 - 0)  

And

b)  m = 93/  1,5

m = 62

And  

b) D = mh + b

D = mh  + D₁

D = 62*h + 128

a)

The equation is:

[tex]D - 221 = 62(h - 1.5)[/tex]

b) Initially, he was 128 miles away from Albany.

Item a:

Fabio is traveling from Albany to Buffalo, and his distance D from Albany after h hours is modeled by a linear function in the following format:

[tex]D - D_1 = m(h - h_1)[/tex]

We have that:

Velocity of 62 miles per hour, thus the slope is [tex]m = 62[/tex].After 1.5 hours, he is 221 miles away from Albany, thus the point is [tex]h_1 = 1.5, D_1 = 221[/tex].

The equation is:

[tex]D - D_1 = m(h - h_1)[/tex]

[tex]D - 221 = 62(h - 1.5)[/tex]

Item b:

The initial distance is D when h = 0, so:

[tex]D - 221 = 62(0 - 1.5)[/tex]

[tex]D = -1.5(62) + 221[/tex]

[tex]D = 128[/tex]

Initially, he was 128 miles away from Albany.

A similar problem is given at https://brainly.com/question/16302622

Solve the equation because I really need help

Answers

Answer:

No Solution

Step-by-step explanation:

P.E.M.D.A.S

4(x+5) = 21 + 4x

4x+20 = 21+4x

we would subtract 4 on both sides to isolate 4 by it self.

subtract 4x on both sides but when we do we get 0 for x

4x-4x + 40 = 21 + 4x-4x

we get 40 = 21

So our answer is no Solution or unless your just tryning to find out that the total is with out x 40 = 21

high hopes ^^

Barry

Year 6 maths question

Answers

explanation:
we know that box A has 5 times as many pens as box B. if we take away 76 pens from box A, then it will be equal to box B. therefore, we would need to make an equation (where x is box B):

5x - 76 = x

subtract 5x on both sides:

-76 = -4x

divide each side by -4:

x = 19

x would also be box A because box B and box A have the same number of pens

Select all of the ratios that are equivalent to 8:6

Answers

Answer: 3:2 and also 4:3

Step-by-step explanation:

Answer:

4:316:1224:1832:2440:3048:3656:4264:4872:5480:6088:6696:72

Hope this helps :)

Help! Please. I don’t know what I did wrong.

Answers

Answer:

1320, permutation

Step-by-step explanation:

There are 12 members

Pick a president

We have 12 choices

Now there are 11 people left to pick from

now pick a vp

We have 11 choices

Now there are 10 people left to pick from

now pick a secretary

We have 10 choices

12*11*10 = 1320

This is a permutation since it matters who is president, vp and secretary

Use a factor tree to write the prime factorization of 80.

Answers

80
2 40
2 2 20
2 2 2 2 10
2 2 2 2 2 5,
2^5*5

i think that’s how you would do it

Last week Isaiah and his roommates ate 3/8 of a carton of yogurt, and this week they ate
7/12 of a carton. How much more yogurt did they eat this week compared to last week?

Answers

Answer: 5/24

Step-by-step explanation:

The problem is 7/12-3/8. I got a common denominator of 24, then multipled 8 and 3 by 3, and 7 and 12 by 2. The problem is now 14/25-9/24, which equals 5/24

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