find the indefinite integral. (use c for the constant of integration.) arcsec(8x) dx, x > 1 8

Answers

Answer 1

The indefinite integral of arcsec(8x) dx for x > 1/8 is x(arcsec(8x)) - (1/8)√(64x² - 1) + C.

In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and antiderivative.

To find the indefinite integral of arcsec(8x) dx with x > 1/8, you can use integration by parts.

Let u = arcsec(8x) and dv = dx.

Then, \(du = (8/(x\sqrt{(64x^2 - 1)})) dx\) and v = x.

Using integration by parts formula, ∫u dv = uv - ∫v du, we get:
∫arcsec(8x) dx = x(arcsec(8x)) - \(\int(x(8/(x\sqrt{(64x^2 - 1)})))\) dx.

Now, let w = 64x² - 1. Then, dw = 128x dx, and we have:
∫arcsec(8x) dx = x(arcsec(8x)) - (1/16)∫(dw/√w).

Now, we can integrate the last term:
(1/16)∫(dw/√w) = (1/16)(2√w) + C = (1/8)√(64x² - 1) + C.

Therefore, the indefinite integral is:
x(arcsec(8x)) - (1/8)√(64x² - 1) + C.

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Related Questions

Please help I am stuck on this
A =1/2 h(a + b), solve for b

Answers

Answer: b=2a/h-a

Step-by-step explanation:

How long is the wire that supports the tree?

Answers

Answer:

¿Qué alternativas habrías planteado para evitar la expansión de las guerrillas en todo el territorio colombiano?

Answer:

2.3 ft

Step-by-step explanation:

i looked it up on boogle.

i need to know who is correct or not in PART C, please help!!!

i need to know who is correct or not in PART C, please help!!!

Answers

Answer:

  Both are correct with respect to the final purchase price.

  Lisa is correct, in terms of appropriate accounting procedure

Step-by-step explanation:

The total amount paid by Lisa's method and by Ross's method will be the same. The multiplication factors in each case are (1-0.15) = 0.85 and (1 +0.08) =  1.08. The commutative property of multiplication tells you the product is the same, regardless of the order in which the factors are applied.

The order of application of tax and discount does not matter for the final price.

__

As a practical matter, Lisa is correct. The store will owe sales tax to the government based on the net sales of the store. If the cash register records the sale as $495, then extra accounting steps are required so the store can avoid paying tax on that amount. However, if the cash register records the sale as 15% less than $495, the tax paid to the government is easily justified.

__

The attachment shows the intermediate computed values in both cases. The final value is the same.

i need to know who is correct or not in PART C, please help!!!

24/x-8 =4
Solve for X

Answers

The answers is

\(x = 2\)

24/x - 8 = 4
24/x = 12
x = 2
:)

A fisherman caught 10 fish in one month. Their weights, in pounds, are shown below.

8, 12, 16, 17, 22, 24, 29, 38, 45, 74

Which box plot best summarizes the data?

Answers

Answer:  A.

Step-by-step explanation:

x − 2y = −3
y = −2x − 1

(1, 1)
(1, −1)
(−1, 1)
(−1, −1)

Answers

The solution is (-1, 1). The solution has been obtained using linear equations.

What is a linear equation?

The linear equation with the highest degree of one is this one. This implies that there are no variables in a linear equation with exponent greater than 1. This equation results in the graph having a straight line.

In order to obtain the solution, we will see which point satisfies both the equations.

1. (1,1)

⇒x-2y = -3

⇒1-2 = -3

⇒-1 ≠ -3

So, this is not the solution.

2. (1, -1)

⇒x-2y = -3

⇒1-2(-1) = -3

⇒1+2 = -3

⇒3 ≠ -3

So, this is not the solution.

3. (-1, 1)

⇒x-2y = -3

⇒-1-2 = -3

-3 = -3

Second equation

⇒y = -2x - 1

⇒1 = -2(-1) - 1

⇒1 = 2 - 1

1 = 1

Thus, this is the solution.

Hence, the solution is (-1, 1).

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Almost all medical schools in the united states require students to take the medical college admission test (mcat). The total score of the four sections on the test ranges from 472 to 528. In spring of 2019, the mean score was 500. 9, with a standard deviation of 10. 6.

Answers

What is the question for this so I can answer it?

What are the intervals of increase and decrease of the following graph!????7 points!!!

What are the intervals of increase and decrease of the following graph!????7 points!!!

Answers

Jwjejrrifitnt rirodjeenwkwiejenej

Answer:

Step-by-step explanation:

The function is decreasing on (∞,∞)

The function never increases

Planes X and Yand points J, K, L, M, and N are shown.

Exactly how many planes contain points J, K, and N?

X

O 0

O 1

O 2

03

K

Υ

2

.M

.N

Answers

Answer:

0

Step-by-step explanation:

0

Number planes contain points J, K and N is 0. Therefore, option A is the correct answer.

What is a plane?

A plane in geometry is a level surface that never ends. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature.

Given that, X and Y are planes.

In the given figure, point J lies outside the X and Y planes.

Points K and N are lies on plane X.

So, J, K and N are not lying in the same plane.

Therefore, option A is the correct answer.

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Planes X and Yand points J, K, L, M, and N are shown.Exactly how many planes contain points J, K, and


An express mail company charges $8 for a package weighing 1 pound or less. Each additional pound or part of a pound costs $2 more.
What is the cost to send a package weighing 7.4 pounds

Answers

Answer:

5 pounds

Step-by-step explanation:

Answer:

$24

Step-by-step explanation:

y = total cost  x=each addition pound or part of a pound

y = 8 + 2x

Substitute the value of x in. (8 because it is still 2 dollars more for the 0.4)

y = 8 + 2(8)

Solve

Total cost = $24

Find the volume of the sphere to the nearest cubic foot.
Use 3.14 for pi
Radius=7 ft

Answers

Answer is 1436.03!!!
insert 7 in the equation: 4/3*3.14*7^3 and there you have it!!! :))))


-zesty

what multiplication expression is equal to 5/6 divided by 1/2

Answers

5/6 * 2/1 you just flip the second fraction to get the multiplication expression.

a 127 foot tower is located on a hill a guy-wire is to be attached to the top of the tower and anchored at a point 64 feet downhill from the base of the tower the guy-wire is 175 feet long find the angle the tower makes with the hill

Answers

The angle the tower makes with the hill is approximately 44.77 degrees.

To find the angle the tower makes with the hill, we can use trigonometry. Let's denote the angle the tower makes with the hill as θ.

Using the given information, we can form a right triangle with the tower, the guy-wire, and the horizontal distance between the anchor point and the base of the tower.

The vertical leg of the triangle represents the height of the tower, which is 127 feet.

The hypotenuse of the triangle represents the length of the guy-wire, which is 175 feet.

The horizontal leg of the triangle represents the distance from the anchor point to the base of the tower, which is 64 feet.

We can use the sine function to find the angle θ:

sin(θ) = opposite/hypotenuse

sin(θ) = 127/175

To find θ, we can take the inverse sine (sin^(-1)) of both sides:

\(θ = sin^(-1)(127/175)\)

Using a calculator, we find that θ is approximately 44.77 degrees

Therefore, the angle the tower makes with the hill is approximately 44.77 degrees.

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PLZ HELP
Find the measure of each angle

M<1=110

PLZ HELPFind the measure of each angleM&lt;1=110

Answers

1. 110

2. 70

3. 70

4. 110

5. 110

6. 70

7. 70

8. 110

180 - 110 = 70

the answer abound will be 70

as it reaches the point (1, 5), the y-coordinate is increasing at a rate of 4 cm/s. how fast is the x-coordinate of the point changing at that instant?

Answers

The rate of increase of the y-coordinate as it approaches the point (1, 5) is 4 cm/s.At that instant, the x-coordinate of the point is not changing; it is staying at 1.

When a point reaches a certain coordinate, it means that the point is not changing anymore. In this case, the point has reached the coordinate (1, 5), which means that the x-coordinate (1) is not changing, while the y-coordinate (5) is increasing at a rate of 4 cm/s. Therefore, the x-coordinate of the point is not changing at that instant.

x = 1

Rate of Change (x-coordinate) = 0 cm/s

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Carmen runs each lap in 4 minutes. She will run more than 20 minutes today. What are the possible numbers of laps she will run today

Answers

Answer:

Divide it

1 lap = 4 minutes

... lap = 20 minutes

So,

\( \sf = \frac{20}{4} = \green{5 \: lap}\)

The right answer is 5 lap

━━━━━━━━━━━━━━━━━

Hope it helps!

Answer: 5 or more laps

One lap takes 4 minutes and she’s running 20 laps. You can solve this by making a ratio saying 1/4=x/20 and cross multiply. This gives you the equation “20=4x”. Divide both sides by 4 which would give you x=5. Now, take into account that it says she’s running more than 20 minutes so your answer is all integers greater than 5.

A researcher asks participants to rate the tastes of three different cola drinks. The size, shape, and color of the drink cups are the same for each drink. In this study, the independent variable is __________, the dependent variable is __________, and an extraneous variable is __________. Group of answer choices drink cups, taste rating of cola drink, type of cola drink type of cola drink, drink cups, taste rating of cola drink type of cola drink, taste rating of the cola drink, drink cups drink cups, type of cola drink, taste rating of cola drink

Answers

Answer:

Independent variable - type of cola drink

dependent variable - taste rating of cola drink

extraneous variable - type of cola drink

Step-by-step explanation:

The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable.

The extraneous variable is the variable  that is not been researched in the experiment but it has the potential to influence the results of the experiment.

The type of cola drink given to participants can be manipulated to derive different ratings. the ratings that participants would give the cola drink is determined by the type of cola drink served. Here, the type of drink served is the independent variable while the ratings given is the dependent variable.

the extraneous variable is the type of drink cups used. this is not relevant to the experiment but can affect the results of the experiments. for example, imagine a red cup is used for the experiment and a participant hates red cups. it is more likely that the participant would give a low rating for the cola drink even if the drink tastes good

the heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. men the same age have mean height 69.3 inches with standard deviation 2.8 inches. (a) what is the z-score for a woman 56 inches tall?

Answers

To find the z-score for a woman who is 56 inches tall, we can use the formula:

Z = (X - μ) / σ

Where:
X = 56 inches (observed value)
μ = 64 inches (mean)
σ = 2.7 inches (standard deviation)

Substituting the given values into the formula, we get:

Z = (56 - 64) / 2.7
Z = -8 / 2.7
Z ≈ -2.963

Therefore, the z-score for a woman who is 56 inches tall is approximately -2.963.

5. Write equations in slope-intercept form for three different lines that intersect at (–2, 3). Show your work.

Answers

Answer:

Equations in slope-intercept form for three different lines that intersect at (–2, 3) are y=-x+1  ,  y=3  and y=x+5

Step-by-step explanation:

General equation of slope intercept form : \(y-y_1=m(x-x_1)\)

We are supposed to find equations in slope-intercept form for three different lines that intersect at (–2, 3).

\((x_1,y_1)=(-2,3)\)

Substitute the value in the general equation

y-3=m(x+2)

Now substitute any 3 values of m

At m = -1

\(\Rightarrow y-3=-x-2 \\\Rightarrow y=-x+1\)

At m =0

\(\Rightarrow y-3=0 \\\Rightarrow y=3\)

At m =1

\(\Rightarrow y-3=x+2 \\\Rightarrow y=x+5\)

They all intersect at the given point.

So, equations in slope-intercept form for three different lines that intersect at (–2, 3) are y=-x+1  ,  y=3  and y=x+5

Answer:

y-3=-x-2

   y=-x+1

y-3=0

 y=3

y-3=x+2

y=x+5

Step-by-step explanation

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Similar to inference techniques used in earlier chapters regarding sample sizes, the conditions that allow us to use the Chi-square test protect us from having expected counts that are too __________

Answers

Similar to inference techniques used in earlier chapters regarding sample sizes, the conditions that allow us to use the Chi-square test protect us from having expected counts that are too small.

When conducting a Chi-square test, we are comparing observed counts to expected counts, and if the expected counts are too small, we may not have enough data to accurately determine if the observed counts are significantly different from what we would expect by chance alone. Therefore, one of the assumptions of the Chi-square test is that the expected counts in each cell of the contingency table should be at least 5, although some researchers suggest that expected counts should be at least 10 to increase the accuracy of the test.

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Tyler has run 15 miles this month. For the rest of the month, he plans to run the same number of miles each day. There are 12 days left in the month. Before the end of the month, Tyler needs to run at least 35 miles to meet his goal.

Answers

Answer:

1.6 miles/day

Step-by-step explanation:

he has already ran 15 miles, so only 20 miles left. (35-15=20)

essentially, he needs to run 1.6 miles per day because:

20/12 = 1.666

dianelys volunteers on the weekend at the central library. as a school project, she decides to record how many people visit the library, and where they go. on saturday, 349 people went to the youth wing, 333 people went to social issues, and 485 went to fiction and literature. on sunday, the library had 1100 total visitors. based on what dianelys had recorded on saturday, about how many people should be expected to go to social issues? round your answer to the nearest whole number.

Answers

On the weekends, Dianelys works as a volunteer at the main library. She noted that 314 people are anticipated to attend social issues.

The chance that a happening will occur, such as rolling a five on the die or selecting a diamond from a deck of cards, is known as probability. This is computed using the formula, \(P(A) =\frac{\text{number of favorable events}}{\text{total number of outcomes}}=\frac{n}{N}\)

There were 349 visitors to the youth wing, 333 to the social issues session, and 485 to the fiction and literary session. The probability of selecting social issues is then,

\(\begin{aligned}P(\text{social issues})&=\frac{n}{N}\\&=\frac{333}{349+333+485}\\&=\frac{333}{1167}\\&=0.2853\\&\approx28.53\%\end{aligned}\)

Then, the number of people expected to go to social issues is,

\(\begin{aligned}N &= 0.2853\times 1100\\&=313.83\\&\approx314\end{aligned}\)

The required answer is 314 people.

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✓ Check
Question 1
Caroline said the absolute value of -25 is 25. Is she correct? Explain.

Answers

Answer:

lolllll

Step-by-step explanation:

Can someone explain how to do this but don’t give me the answer.

Show your work!

Can someone explain how to do this but dont give me the answer. Show your work!

Answers

Answer: 1/5 * 1/4 = a

Step-by-step explanation: Ok, so 5/5 = 1 whole. So that is the reason why the square is divided into 20 small squares. Dividing fractions is the same as multiplying by its recriplical. Ex. 2 divided by 1/4. First we would do 2/1 divided by 1/4, since a whole can be put on top of 1. So in your case that would be 4/1. Then we do 2/1 * 4/1. As you can see 1/4 is flipped because dividing is the same as multiplying by the reciprocal. So in your case that would be 1/5 * 1/4 = a

Solve the equation for exact solutions over the interval [0, 2x). 3cotx+4=7 RECOR Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution se

Answers

The correct choice is: OA. The solution set is {π/4}. To summarize, the correct choice is: OA. The solution set is {π/4}.

To solve the equation 3cot(x) + 4 = 7 over the interval [0, 2x), we'll first isolate the cotangent term and then find the values of x that satisfy the equation.

Let's start by subtracting 4 from both sides of the equation:

3cot(x) = 7 - 4

3cot(x) = 3

Now, divide both sides of the equation by 3:

cot(x) = 1

The cotangent function is the reciprocal of the tangent function, so cot(x) = 1 is equivalent to tan(x) = 1.

Now, we need to find the values of x in the interval [0, 2x) that satisfy tan(x) = 1.

The tangent function is positive in the first and third quadrants. In the first quadrant, the tangent function is equal to 1 at π/4 radians. In the third quadrant, it is also equal to 1 at 5π/4 radians.

Since we are looking for solutions in the interval [0, 2x), we can consider the solution π/4.

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What features would need to be included on a scatter plot so that the data can be easily analyzed?

Answers

Scatter plot is a graph that employs Cartesian coordinates to show the values of typically two variables plotted on the horizontal and vertical axes for a given set of data. The name of the relationship between the two variables that is shown by the scatter plot is referred to as correlation.
The following are the features of a scatter plot:
1. An X axis also known as the horizontal axis), and a Y axis which is also known as the vertical axis.The reason for these two axes is to obtain the Cartesian coordinates of the two variables X and Y.
2. Dots: There are must be dots on a scatter graph. The purpose of each of the dots is to indicate one observation of the data set.
3. Unique position of each dot: The purpose of the position of each dot is to indicate the meeting point of X and Y values.


If measure of angle B is two more than three times the measure of Angle C, and Measure B and c are
complementary angles, find each angle measure

Answers

here u go, B= 68 degrees C= 22 degrees :)
If measure of angle B is two more than three times the measure of Angle C, and Measure B and c are complementary

Pls help me and pls show the complete working

Pls help me and pls show the complete working

Answers

don’t fall for them links^^^
they try to hack your device, be carful stay safe boo xoxo

Please help, Thank you.

Please help, Thank you.

Answers

Answer:

x ≥ 3

======================

Given inequality

3(x + 1) ≥ 12

Solve and graph it

3(x + 1) ≥ 123(x + 1)/3 ≥ 12/3x + 1 ≥ 4x + 1 - 1 ≥ 4 - 1x ≥ 3

The solution is all points to the right from 3, same point included.

Please help, Thank you.

5. Multiple-choice

0 15 minutes

Shannon is building a rectangular garden that is 18 feet wide and 27 feet long. Shannon is putting a fence

Q. around the garden except where there is a gate that is 3 feet wide. One foot of fence costs $43. The cost of

the gate is $128. What is the total cost of the fence and the gate?

answer choices

$2.063

$3,612

$3,869

$3,870

Answers

The correct answer is not listed in the answer choices provided.To find the total cost of the fence and the gate, we need to first calculate the perimeter of the rectangular garden. The perimeter is the sum of all four sides of the garden. We know that the garden is 18 feet wide and 27 feet long.

The two shorter sides (width) will have a length of 18 feet each, while the two longer sides (length) will have a length of 27 feet each. Therefore, the perimeter of the garden is:

Perimeter = 2(18) + 2(27) = 54 + 36 = 90 feet

However, we need to subtract the length of the gate from the width of the garden as the fence will not be installed in that area. The width of the garden after the gate is taken into account will be 18 - 3 = 15 feet.

Therefore, the perimeter of the garden with the gate included is:

Perimeter = 2(15) + 2(27) = 30 + 54 = 84 feet

Now, we can multiply the perimeter by the cost per foot of the fence to find the total cost of the fence:

Cost of fence = 84 x 43 = $3,612

Finally, we add the cost of the gate to the cost of the fence to find the total cost of the fence and gate:

Total cost = 3,612 + 128 = $3,740

Therefore, the correct answer is not listed in the answer choices provided.

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Over time, some plants have developed adaptations to attract specific insects or animals. Sometimes, the insect or animal even becomes dependent upon a particular plant for food and continually returns to the same plant. What benefit does the plant receive? A. immunity from certain diseases B. protection from natural disasters C. friendship from the insect or animal D. the assurance of reproductive success correct answer?english A deadline is approaching for a project at work and you are asked to put in more than the normal 40 hours of work for the first week of january to complete the project on time. your hourly wage is $10.00 per hour and you get time and a half for anything over 40 hours. what was your pay for the first week of january, given that you worked 10 hours of overtime? a. $550 b. $650 c. $600 d. $700 Suppose that Southern Airways is a monopolist for a particular air route. The market has two segments based on the two types of passengers: economy class (e) and business class (b).Southern Airways aims to maximize profits by capturing both market segments by using price discrimination.Southern Airways has the following functions:Demand Function (e): e = 60 1.5P Demand Function (b): b = 80 3PSouthern Airways Total Cost Function: T = 20 + 15a) Derive the MR (Marginal Revenue) function for both market segments.b) Derive Southern Airways Marginal Cost.c) What is the profit maximising price and quantity for both market segments?d) What is Southern Airways Total Revenue?e) What is Southern Airways Total Profit? What the slope intercept form of (-3,3) and (3,-3) suppose a car screeches to a halt to avoid an accident. if that car has antilock brakes that pump on and off automatically every fraction of a second, what might the tread marks on the road look like? 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