find dy/dx of y=csc(square root of x)

Answers

Answer 1

Answer:

[tex] y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}} [/tex]

Step-by-step explanation:

y = csc x

y' = -cot x csc x

[tex] y = \csc \sqrt{x} [/tex]

[tex] y' = \dfrac{d}{dx} [\csc \sqrt{x}] [/tex]

[tex]y' = (-\cot x \csc x) \dfrac{d}{dx} \sqrt{x}[/tex]

[tex]y' = (-\cot x \csc x) \dfrac{d}{dx} x^{\frac{1}{2}}[/tex]

[tex]y' = (-\cot x \csc x) \dfrac{1}{2} x^{-\frac{1}{2}}[/tex]

[tex] y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}} [/tex]


Related Questions

Jim biked 2 3/4
miles on Monday and then 3 5/8 miles on Tuesday. How many miles did he bike in
total?

Answers

Answer:2 3/4+ 3 5/8= 6 3/8

Step-by-step explanation:

2 3/4= 2 6/8+3 5/8=5 11/8=6 3/8

Suppose 5,500 dollars is placed in a saving account how much money would be in the saving account after 5 years if the compound interest semiannually at a rate of 5% per year

Answers

Answer:

FV= $7,040.46

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,500

Number of periods (n)= 5*2= 10 semesters

Interest rate (i)= 0.05/2= 0.025

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 5,500*(1.025^10)

FV= $7,040.46

I NEED REAL HELP QUICKLY please

Answers

Answer:

hold on its its.............oh yeah 21

Answer:

  b

Step-by-step explanation:

Ricky is solving a multiplication problem where both terms include decimal values. The first term has 4 digits after the decimal. The second term has 5 digits after the decimal. The product will have how many digits after the decimal?

Answers

Answer:

9 digits

Step-by-step explanation:

when doing multiplication with decimals the amount of digits after the decimal in the final product will be the sum of the amounts of digits after the decimal in the two numbers being multiplied together

For example, If you were to multiply 6.789 by 10.321 the answer would be 70.069269. There are six digits after the decimal because the numbers being multiplied each have three digits after their decimals

(If that makes sense. If not, I'm sorry)

PLEASE HELP ME ! ! ! ! :(

Answers

I think it would be 3/1 rise/run

The slope would be -3/1.

Hi, I will give brainliest if someone can help me with this problem.​

Answers

Answer:

(C)Zero

Step-by-step explanation:

Because of the zero on top of the y in the division anything that you multiply or divides is always zero even a negative so the answer is zero

Answer:

Zero

Step-by-step explanation:

Anything multiply or divide by 0 is always 0

Identify the value of the 4 in the number : 45,348

Answers

It is 4000 that is the correct answer

Answer:

I wasn't sure which 4 you were talking about, but I hope this helps! xx

Step-by-step explanation:

4- hundred-thousands

5- ten-thousands

3- thousands

4- hundreds

8- tens

Which point below is not on the graph
A.)(-13, 7)
B.)(-35, 1)
C.)(11, 5)
D.)(27, 3)

Answers

Answer:

It is B

Step-by-step explanation:

Because their isnt a square root fpr 51

The sum of two numbers is 60. The greater number is 6 more than the smaller number. Which equation can be used to solve for the smaller number?
1) x + (x + 6) = 60
2) x- (x + 6) = 60
3) x(x + 6) = 60
04) x(x-6) = 60​

Answers

Answer:

1) x + (x + 6) = 60

Step-by-step explanation:

Let the numbers be x and y

x + y = 60y = x + 6

Then, substituting y:

x + (x + 6) = 60

Correct option is 1)

HELP!!!!! I will mark Brainly

Answers

Answer:

D

Step-by-step explanation:

2x + 3 > -9

2x > -12

x > -6

Choice D represents x > -6

Answer: i think its the last one but if not then the second to last

Step-by-step explanation:

What is the inverse function F(x)=-1/2(x+3)?

Answers

Answer:

f(x)=-1/2(x+3)

y=-1/2(x+3)

x=-1/2(y+3)

-1/2(y+3)=x

-1/2y-3/2=x

-y-3=2x

-y=2x+3

y=-2x-3

f^-1(x)=-2x-3

The inverse of the function f(x) is

[tex]f^{-1}[/tex] (x) = 2x - 3

What is a function?

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 1/2 (x + 3)

Put f(x) = y

y = 1/2 (x + 3)

Replace y and x.

x = 1/2 (y + 3)

Find y.

2x = y + 3

y = 2x - 3

This means,

[tex]f^{-1}[/tex] (x) = 2x - 3

Thus,

The inverse of f(x) is 2x - 3.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

i'll mark u as brainliest​

Answers

Answer:

y=x+40

Step-by-step explanation:

Better?

Answer: y = x + 40 (for the sake of this problem it’s y = 1x + 40)

calculate slope using y2-y1 / x2-x1

(2, 42) (3, 43)

43-42/3-2 = 1/1 so slope is 1

plug in a point to find b

y = x + b

42 = 2 + b

b = 40

y=x+40 final answer

what is -2(4x+3)-(x-7) = 6

Answers

Answer:

It should be x= -5/9

Step-by-step explanation:

-2(4x+3)-(x-7) = 6

Distribute: -8x-6-x+7=6

Solve: -9x+1=6

-9x=5

x=5/-9

2(4x+3)}}-1(x-7)=62(4x+3)−1(x−7)=6

8+6−1(−7)=6

what is the equation of the line?
a. y= -1/2x+1/2
b. y= -2/1x+1
c. y= -1/2x+1
d. y= -2/1x+1/2

Answers

Answer:

A) y = -1/2x + 1/2

Step-by-step explanation:

Find the y-intercept(when x = 0), which is 1/2.

Find the slope: m = y2-y1 / x2-x1

I used points: (3, -1), (-3,2)

m = 2 - (-1) / -3 - 3

m = 3 / - 6

m = -1/2

plug this into the slope intercept form equation: y = mx + b

y = -1/2x + 1/2

What value should go in the empty box to complete the calculation fro finding the product or of 23.456 * 0.86

Answers

This is what I got hope it helps

What is the equation of the line parallel to the given line.

Answers

The equation of the line is y=1/5x-3 so the parallel line is going to have the same slope but a different b.

Plug in (-2,2) in the equation
2=1/5(-2)+b
2=-2/5
12/5=b

Equation: y=1/5x+12/5

Why do all verified people who answer, are always wrong

Answers

Answer:

they probably do it just to get more answer points or whatever the brianily thing is called

Step-by-step explanation:

An airport shuttle service charges $15 plus $1.15 per mile. An equation is written as y=mx+b, where y is the cost for x miles.

Answers

Answer: See explanation

Step-by-step explanation:

You didn't really say what you need to calculate but let me try to help out.

From the question, we are informed that an airport shuttle service charges $15 plus $1.15 per mile and that an equation is written as y=mx+b, where y is the cost for x miles.

The equation can be expressed as:

y = 15 + 1.15x

where,

15 = y intercept and this is the initial fixed cost

1.15 = slope and this is the cost per mile

x = number of miles

What is the volume of a cylinder with a radius of 1.5 inches and a height of 19 inches? Use 3.14 for pi. Round your answer to the nearest hundredth.

Answers

Answer:

134.24 in³

Step-by-step explanation:

Use the formula for the volume of a cylinder, V = [tex]\pi[/tex]r²h

Plug in the radius, pi, and the height:

V = [tex]\pi[/tex]r²h

V = (3.14)(1.5²)(19)

V = 134.235

= 134.24 in³

So, the volume of the cylinder is 134.24 in³

Answer:

134.24 in³

Step-by-step explanation:

After Thanksgiving, Fernando had 3/8 of a pumpkin pie left. Later that night, 1 point
Fernando ate 2/3 of the remaining pie. How much of the pumpkin pie did
Fernando eat?*
3/8 of the pie
9/16 of the pie
1/4 of the pie
06/24 of the pie

Answers

Answer:

(C) 1/4 of the pie.

Step-by-step explanation:

Given that Fernando had 3/8 of a pumpkin pie left.

So, the remaining pie= 3/8 of a pie.

As Fernando ate 2/3 of the remaining pie, so,

the portion of a pie that Fernando ate = 2/3 x 3/8 of a pie = 1/4 of a pie.

So, Fernando ate 1/4 of a pie.

Hence, option (C) is correct.

Can anyone help me I did it I'm just checking :)

Answers

Answer:

x = 12

Step-by-step explanation:

2x + 5 = 3x - 7

5 + 7 = 3x - 2x

12 = x

Marks football team has scored about 24 points each game. They played 12 games this season. What is the best estimate for the total numbers of points they scored in the season?

Answers

Answer:

About 300 Points

Step-by-step explanation:

24x12=288

288 rounded up is 300

3. Evaluate the expression. (1 point) 6(x+7) for x=9
A. 12
b. 42
c. 96
d. 16​

Answers

Answer:

C. 96

Step-by-step explanation:

x = 9, so we have:

6 · (9 + 7) = 6 · 16 = 96

Please give me Brainlest!

Find the equation of the line.
Use exact numbers.

Answers

Answer:

y=3/4x -2

Step-by-step explanation:

I know the last box has a plus sign in front of it but it's still -2 since the y- intercept is at -2. It's the same thing but I just wanted to make sure you knew that in the last box, you still put -2.

Sorry if what I just said above is confusing, i don't know how to explain it better...

Olivia needs 54 ticks for every 3 lollipops she eats. Complete the table using equivalent ratios. Lollipops


Answers

Answer:

36:2

90:5

Step-by-step explanation:

I got 2 because if we figure out how many licks she gets for every 1 lollipop that will help find the other numbers. When we divide 54 by 3 we get 18. For every 1 lollipop she lickes 18 times. To figure out how many lollipops for 36 I added 18 plus 18 which gives me 36. I added it twice or multiples by 2. Since I multiplied by 2 the lollipops will be 2. Since we know the rate of change which is 18. We know that for 3 lollipops the person will lick 54 times. I added 54 plus 18 two times which gave me 90. So for 90 licks the person will have 5 lollipops. I hope this helps.

PLZZZZ HELPPPPPP THIS IS TIMEDDDD!!!! *look at picture*

A person and a building cast a shadow at the same time of day. The person is 5.8 feet tall in case the shadow of 3.2 feet. The building cast a shadow of 28 feet.

Find the height of the building.


round your answer to the nearest 10th of a foot.

Answers

Answer:

Height of the building = 50.8 ft

Step-by-step explanation:

A person and a building are casting the shadows at the same time of the day.

Triangles formed by the person and his shadow and the building and its shadow will be similar.

Therefore, corresponding sides of the similar triangles will be proportional.

[tex]\frac{x}{28}=\frac{5.8}{3.2}[/tex]

x = [tex]\frac{5.8\times 28}{3.2}[/tex]

x = 50.75

x ≈ 50.8 ft

Answer:

50.8 feet is correct

Step-by-step explanation:

test says so

Which equations have the variable term isolated to one side of the equals sign, and the constant isolated to the other
side, for the equation 1/5 x +1/3 = 1/2x + 8/3 ? Select all that apply
1. 1/5x-7/3=-1/2
2. 7/10x=7/3
3. -7/3=-7/10x
4. x=-5/2x+35/3
5. 0=-7/10x+7/3

Answers

Answer:

7/10x =7/3

-7/3 =-7/10x

This is the answer cause I just took the test and these were the right answers.

If you walked 5 2/3miles in 2 2/3hours what is the unit walking rate in miles per hour and in hours per mile

Answers

Answer:

17/8 or 2 and 1/8 in decimal= 2.125

Step-by-step explanation:

5 2/3 Divided by 2 2/3

(5*3) + 2= 17/3

(2*3) + 2= 8/3

17/3 divided by 8/3= 17/3 * 3/8

= 17/8 or 2 1/8

The new post office has an area that is 6.5 times the area of the old post office. Let p represent the area of the old post office. Write an expression to represent the area of the new post office?

Answers

Answer:

[tex]Area = 6.5p[/tex]

Step-by-step explanation:

Given

[tex]Area\ of\ Old = p[/tex]

[tex]Area\ of\ New = 6.5 * Area\ of\ Old[/tex]

Required

Write an expression for the area of new post office

From the question, we have the following:

[tex]Area\ of\ Old = p[/tex]

and

[tex]Area\ of\ New = 6.5 * Area\ of\ Old[/tex]

Substitute p for Area of Old in the second equation

[tex]Area\ of\ New = 6.5 * p[/tex]

[tex]Area\ of\ New = 6.5 p[/tex]

Hence, the expression is:

[tex]Area = 6.5p[/tex]

Sneezy's bank account increased from $1,200 to $1,800. By what percent did the amount of money in his bank account increase?​

Answers

Answer:

66.6

Step-by-step explanation:

1200/1800x100 = 66.6

Answer:

increased by 50%

Step-by-step explanation:

($1,800/$1,200)*100= 150%

150%-100%=50%

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