differentiate tan inverse of x÷a

Answers

Answer 1

Answer:

Expression Derivatives

y = tan-1(x / a) dy/dx = a / (a2 + x2)

y = cot-1(x / a) dy/dx = - a / (a2 + x2)

y = sec-1(x / a) dy/dx = a / (x (x2 - a2)1/2)

y = cosec-1(x / a) dy/dx = - a / (x (x2 - a2)1/2)


Related Questions

Solve for x. Round your answer to the nearest tenth.

Answers

Answer:

i think 120

Step-by-step explanation:

Step-by-step explanation:

by using Pythagoras theorem,

AB^2+BC^2=CA^2

9^2+12^2=x^2

81+144=285

answer=(285)^2=16.88

nearest tenth is 20

PLEASE HELP ASAP THIS IS A MAJOR TEST FOR ME! Below is the number of innings pitched by each of the Greenbury Goblins' six starting pitchers during the Chin Tournament. Find the median number of innings pitched.

Answers

Answer:

The answer is 4 simplified or 8/2 not simplified

The area of a rectangle room is given by the equation x^2+x=12, where w is thewidth if the room. What is the width of the room?

Answers

Answer:

w = 3

Step-by-step explanation:

factoring x² + x - 12 you get (x + 4)(x - 3) = 0

x = -4 and x = 3

since you cannot have a negative width, we exclude that value and use the positive value of 3

- En una tienda, durante las rebajas, encontramos los siguientes carteles: “ De 150 euros a 90 euros” y “De 40 euros a 24 euros”. ¿Tienen los dos artículos el mismo porcentaje de rebaja ?

Answers

Answer:dwadwdwd

Step-by-step sadawdwdwadwdwexplanation:

help its due in 1 hour !!!​

Answers

Answer:

Hello its 78 I believe good luck!

Please help!

Find the surface area of a rectangular solid that is 2m by 340cm by 560cm
(100cm = 1m)

Answers

^^^ Read what they said, They are correct!!

What is the quotient of (x^3 + 8) divided by (x + 2)?

Answers

Answer:

(x^3 +8)/(x+2) = x^2 -2x +4

Step-by-step explanation:

someone please help me answer this!!

Answers

Answer:

c = 8.4m is the answer.

Step-by-step explanation:

a = 6m

b = 6m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

6² + 6² = c²

36 + 36 = c²

c² = 72

c = 8.4m

∴ The mouse runs 8.4 m from the opposite corners of the room.

Answer:

8.5 m

Step-by-step explanation:

If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

c = sqrt(72)

c = 6sqrt(2) = 8.5

Answer: 8.5 m

Each day for the next 4 days, there is a 20% chance of a thunderstorm. Use the simulation shown, where the digits 1 and 2 represent days with a thunderstorm, to estimate the probability of a thunderstorm on at least 2 of the next 4 days. Round your answer to the nearest tenth of a percent if necessary.

Answers

Answer:

It’s 6/1

Step-by-step explanation:

The estimated probability of a thunderstorm on at least 2 of the next 4 days is 6/16, or 0.375, or 37.5% (rounded to the nearest tenth of a percent).

What is probability?

Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain to occur.

To estimate the probability of a thunderstorm on at least 2 of the next 4 days, we can use the simulation as follows:

The outcomes with at least 2 thunderstorms are: 112, 121, 122, 211, 212, and 221.Out of the 16 possible outcomes (each day can either have a thunderstorm or not), the number of outcomes with at least 2 thunderstorms is 6.Therefore, the estimated probability of a thunderstorm on at least 2 of the next 4 days is 6/16, or 0.375, or 37.5% (rounded to the nearest tenth of a percent).

Thus, this is only an estimate based on the given probability of a thunderstorm each day, and the actual probability may be different.

For more details regarding probability, visit:

https://brainly.com/question/30034780

#SPJ3

How many faces does the solid made from the net below have? ​

Answers

There are 5 triangles and 1 pentagon for a total of 6

The answer is 6

Please help immediately !!

Answers

With what? I don’t see anything

Two students were asked if they liked to read. Is this a good example of a
Yes, this is a good statistical question because a variety of answers
Yes, this is a good statistical question because there are not a varie
No, this is not a good statistical question because there are not a
No, this is not a good statistical question because there are a van

Answers

Answer:

C. No, this is not a good statistical question because there are not a.

Step-by-step explanation:

Because you need a big amount of people to ask for it to be a A good statistical question.

Your welcome! Please mark brainliest!

(Or please correct me if I'm wrong)

What is the mean for these numbers?
5,5,5,5

Answers

Answer:

IF THERE IS A LINK DON'T CLICK ON IT

Step-by-step explanation:

IT'S A COMPUTER PHONE AND TABLET VIRUS

Answer:

5

Step-by-step explanation:

Kyle’s doctor told him that the z-score for his systolic blood pressure is 1.75. Which of the following is the best interpretation of this standardized score? The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean µ = 125 and standard deviation σ = 14. If X = a systolic blood pressure score then X ~ N (125, 14).

a. Which answer(s) is/are correct?
1. Kyle's systolic blood pressure is 175.
2. Kyle's systolic blood pressure is 1.75 times the average blood pressure of men his age.
3. Kyle's systolic blood pressure is 1.75 above the average systolic blood pressure of men his age.
4. Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

b. Calculate Kyle's blood pressure.

Answers

Answer:

a. 4. Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

b. His blood pressure is of 149.5 millimeters

Step-by-step explanation:

Normal Probability Distribution:

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

a. Which answer(s) is/are correct?

His blood pressure has a zscore of 1.75, which means that it is 1.75 standard deviation above the mean value. So the correct answer is given by option 4.

b. Calculate Kyle's blood pressure.

We have to find X when [tex]Z = 1.75, \mu = 125, \sigma = 14[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.75 = \frac{X - 125}{14}[/tex]

[tex]X - 125 = 1.75*14[/tex]

[tex]X = 149.5[/tex]

His blood pressure is of 149.5 millimeters

give three rational Number lying between 1/3 and 1/5​

Answers

I think 4/2/1 I hope that helps I hope you have a wonderful day

3. Determine the area under the standard normal curve to the right of z = 0.55.

a.)0.2912
b.)0.7054
c.)0.7088

Answers

The area under the standard normal cure is. B-) 0.7054

A random sample of 10 fields of durum wheat has a mean yield of 39.8 bushels per acre and standard deviation of 3.87 bushels per acre. Determine the 90% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

Ccritical value = 1.833

https://brainly.com/question/23008046


PLS ANSWER THIS QUESTION PLEASE

Answers

Answer:

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]

Step-by-step explanation:

Given

[tex]y=6; z=3[/tex]

Evaluate

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z[/tex]

Substitute [tex]y=6; z=3[/tex] in the expression.

So, we have:

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3}{2}*6 - 3 + \frac{5}{3} * 3[/tex]

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3*6}{2} - 3 + \frac{5* 3}{3}[/tex]

Evaluate the fractions

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = 3*3 - 3 + 5[/tex]

[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]

One year, the population of a city was 143,000. Several years later it was
138,710. Find the percent decrease.

Answers

Answer:

One year, the population of a city was 143,000. Several years later it was

138,710. Find the percent decrease - 3% decrease.

Andy's age is 67, which is 17 less than 12 times bills age. What is bills age?

Answers

Bill is about 49 years old.

Answer:

7

Step-by-step explanation:

67 + 17 = 84

84/12 = 7

Question 4
12.5 pts
Georgia receives a snow globe for her birthday. The globe has a diameter of 4 inches.
Which of the following is the closest to the volume of the snowglobe?
0 18.84
O 10.7
O 16.7
0 33.5

Answers

Answer:

choice 4) 33.5 in³

Step-by-step explanation:

r = 4/2

V = 4/3πr³ = 4/3(3.14)(2³) = 33.5 in²

Does anybody have the answer

Answers

Answer:

You're answer is right it is -2,2

Step-by-step explanation:

remember x comes before y

The cost of interest of a $3,000 loan at 12% interest per year is $1003.80.
What is the term length for this loan in years?

Answers

9514 1404 393

Answer:

  2.79 years

Step-by-step explanation:

If we assume simple interest, the interest amount is computed from ...

  I = Prt

Then the length t is ...

  t = I/(Pr)

  t = 1003.80/(3000×0.12) ≈ 2.788333...

The term of the loan is about 2.79 years.

What is one way to name the object pictured below?
A Z Y
B. YZ
c. Y Z
D. ZY

Answers

You got it correct the answer is B

MARK ME BRAINLIEST PLEASE

A rectangular gate has a diagonal bar running across it.The gate is 80cm high and 2m wide.Work out the length of the bar.Give your answer in surd form..

Answers

Answer:

Step-by-step explanation:

A rectangular gate has a diagonal bar running across it.The gate is 80cm high and 2m wide.Work out the length of the bar.Give your answer in surd form..

Marcie conducts an experiment with a bag of marbles. She draws one marble from the bag, records its color, returns the marble to the bag, and draws again. The results of her experiment are shown below.

Marble Color Number of
Times Drawn
red 5
blue 6
green 4
purple 1
yellow 4
Based on Marcie’s experiment, what proportion of the marbles in the bag would she expect to be purple?

A.
20%
B.
5%
C.
1%
D.
10%

Answers

Answer:

B. 5%

Step-by-step explanation:

add them:

5 + 6 + 4 + 1 + 4 = 20

now use it to divide from the number of times purple is drawn = 1 so,

1/20 =  0.05 = 5%

A rectangular garden has an area of 144ft. If the base is 8ft long, what is the height ?
A.18
B.36
C.64
D.72

Answers

A. 18
Formula for area is LxW.
Divide 144 by 8 and you get 18.

pls help! one week you spent $24 on 6 metro tickets and 4 bus tickets. the next week you spent $27 on 3 metro tickets and 7 bus tickets. how much would it cost to buy 5 metro tickets and 2 bus tickets?

Answers

Answer:

I will use x for # of subway tickets, and y for # of express bus tickets.

24 = 6x + 4y

27 = 3x + 7y

x = 2

y = 3

16 = 10 + 6

Answer is 16

Elaine cannot spend more than $90 each
month for her cell phone and text
messaging service. Her plan states that she
has to pay a set fee of $45 for phone
service and $0.05 per text message she
sends. Which inequality represents the
relationship between the number of text
messages she can send each month, t, and
the total amount she can spend for the cell
phone and text messaging service?

Answers

Answer:

b = 90 >- 45 + 0.05t

Step-by-step explanation:

She can't spend more than 90 and this the only equation that makes sense.

Can a triangle be made using the side lengths of 8, 2, 10?

a
Yes.
b
No, the sum of the shortest sides measures less than the longest side.
c
No, the sum of the shortest sides measure is equal to the longest side.

Answers

Answer:

c

Step-by-step explanation:

I'm not completely sure if this is right, but i hope it is :/

I believe it’s c i hoped this helped
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