Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.

Answers

Answer 1

Answer:

Step-by-step explanation:

First derivative

[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]

Second derivative

[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]

Third derivative

[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]

Fourth derivative

[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]


Related Questions

Please help me i dont understand this lol thank you

Answers

Answer:

Positive Correlation

Step-by-step explanation:

The Points on the graph are increasing upward, which would make this a positive correlation.

this is numbers 1,2 and 3

Answers

Answer:

1. c

i think its right i hope it is im so sorry if it is not

What is the directrix of a parabola with equation x^2 = 4y

Answers

Answer:

y = -1

Step-by-step explanation:

Three shirts and two pairs of pants cost $40. Four shirts and one pair of pants cost $37.50. How much does one shirt cost?

A. $5.00
B. $9.50
C. $6.75
D. $7.00

Answers

Answer:

d, 700

Step-by-step explanation:

it's the only one that makes sense

Help out please thank you

Answers

Answer: 6a. 3 1/3, 6b. 2 2/5, 6c. 1/4, 6d. 9/10

Step-by-step explanation: You can use math/way or Soc/ratic to find the answers. Math/way is a website, Socr/atic is an app.

Do KCF ( keep change flip ) 5/6 divided by 1/4 keep the 5/6 change the division sign to a multiplication sign and change 1/4 to 4/1 and multiply across meaning 5x4 =20 and 6x1=6 =20/6 if you simplify it it will get you 10/3 because the the simplified number for 20/6 is 2 ,2x10 is 20 and 2x3 is 6 and just do ( KCF ) for all 3 hope it helped !

Sara is moving into a new apartment. The Resort complex charges a $600 security
deposit and costs $950 a month for rent. The Uptown Suites Duplex charges a $300
security deposit and costs $1100 a month for rent. After how many months would the
apartments cost the same amount? Which apartment would you recommend Sara move
to if she plans on staying for 6 months? Please show work!

Answers

Answer:

1) 2 months

Step-by-step explanation:

y = 950x + 600

y = 1100x + 300

950x + 600 = 1100x + 300

-950x -950x

____________________ subtract slope from both sides

600 = 150x + 300 ( doesn't matter which one)

-300 - 300

____________________ subtract

300 = 150x

_________ Divide each # with the slope

150 = 150

2 = x

____________Answer 2_____________

Answer:

The Resort Complex would save you 300.

step-by-step solution:

you have to do is plug in the number of months.

then multiply

then subtract both Complexes

and compare

The Resort Complex. : y = 950(6) + 600 - 6300

The uptown suite duplex : y = 1100(6) + 300 - 6900

HOPE THIS HELPS!

In a circle with radius 22, an angle measuring 2\pi2π radians intercepts an arc. Find the length of the arc in simplest form.

Answers

Answer:

15

Step-by-step explanation:

The length of the arc in its simplest form will be 138.16 units.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

In a circle with a radius of 22, an angle measuring 2π radians intercepts an arc.

Then the length of the arc in the simplest form will be given as,

Arc = (2π/2π) 2π (22)

Arc = 44 x 3.14

Arc = 138.16 units

The length of the arc in its simplest form will be 138.16 units.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ5

Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC? Question 4 options: A) To the left five units, up three units. B) To the right five units, up three units. C) To the left five units, down three units. D) To the right five units, down three units.

Answers

it’s to the left 5 units, down three, so C because the translation maps abc to a’b’c’

Answer:

C

Step-by-step explanation:

Solve this equation: -7x + 12 – 2x = 23 + 13.0
Step 1: Simplify by combining like terms that are on the
same side of the equation. Which terms can be
combined?

Answers

Answer:

Step-by-step explanation:

We can combine the -7x and the -2x and the left side to get -9x and the 23 and 13 on the right side to get 36.

This gives us

-9x + 12 = 36

Subtacting 12 from both sides gives us

-9x = 24

dividing by -9 gives us

x = - 8/3

Answer:

see below

Step-by-step explanation:

-7x + 12 – 2x = 23 + 13.0

Combine like terms

(-7x-2x) +12 = (23+13)

-9x +12 = 36

Subtract 12 from each side

-9x +12 -12 = 36 -12

-9x = 24

Divide each side by -9

-9x/-9 = 24/-9

x = -8/3

Identify the type of pair of angles labeled as 1 and 2 in the figure.

Question 4 options:

A)
Adjacent angles

B)
Linear pair

C)
Complementary angles

D)
Vertical angles

Answers

Hey!!

1 and 2 are vertical angles.

Vertically opposite angles are always equal to each other.

Hope it helps..

Answer:

D

Step-by-step explanation:

Factor this polynomial completely.
12x2+x-6

Answers

Step-by-step explanation:

12 x 2 = 24 + x = 24x - 6 = 18x

Hope This Is Correct For You

The value of x for which the expressions 3x – 4 and 2x + 1 become
equal is
-3
0
5
1

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

To determine for which value of x a pair of expressions will be equal, we will need to set them equal to each other and then solve for x.

[tex]3x-4=2x+1[/tex]

First, we can add 4 to each side

[tex]3x=2x+5[/tex]

Now we can subtract 2x from each side

[tex]x=5[/tex]

Now, just to check our answer, we can plug in our answer back into the original equation to see whether we get the same result for each side

[tex]3(5)-4=2(5)+1\\\\15-4=10+1\\\\11=11[/tex]

Answer:

5

Step-by-step explanation:

1) make them equal to each other

2) put all the constants on one side and all the ones with x on the other

3) solve

which of the following is the additive identity of 5+2i

Answers

Answer:

Can you take a picture of the question so i could help!

Step-by-step explanation:

There are 8 students in our Math class left to give their presentations. Today
we will have time for 5 presentations. How many different ways can the
teacher choose the presenters?

OA) 56
OB) 112
OC) 168
OD) 336

Answers

Answer:

Option A. 56

Step-by-step explanation:

The question talks about chosing 5 presenters out of 8 presenter.

This can be achieved b using the following formula:

nCr = n! /r! (n–r)!

n = 8

r = 5

8C5 = 8! / 5! (8 – 5)!

8C5 = 8! / 5! 3!

8C5 = (8 x 7 x 6) / (3 x 2 x 1)

8C5 = 56

Therefore, there are 56 ways in which the teacher can chose the presenters.

Answer: Choice A

Step-by-step explanation:

What is the surface area of the prism, in square centimeters?

Answers

Answer:

182

Step-by-step explanation:

2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )

= {182cm}^{2}

The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,

Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)

Now, the Area of a rectangular face is,

Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)

        = 160 cm²

The area of the triangle base,

Area = 0.5 × 4cm × 6cm = 12 cm²

Further, the total area of the Prism will be,

Total surface area = 160cm² + 2(12cm²) = 184cm²

Hence, the total surface area of the prism is 184 cm².

Learn more about Area:

https://brainly.com/question/1631786

#SPJ2

A baker is making bread rolls. He divides his dough into 8 equal pieces. He then cuts each one of these pieces into three, each of which is a single bread roll. He sells the rolls in bags of 4. original dough is in one bag of rolls give your answer in its simplest form

Answers

Answer:

6 bags

Step-by-step explanation:

8x3=24

24/4=6

Please answer this question

Answers

Answer:

a = - 2, b = - 1

Step-by-step explanation:

If a polynomial f(x) is divisible by (x + h) then f(- h) = 0

P(x) is divisible by (x + 1), thus P(- 1) = 0 , that is

P(- 1) = (- 1)³ + a(- 1)² - b + 2 = 0 , that is

- 1 + a - b + 2 = 0

a - b + 1 = 0 ( subtract 1 from both sides )

a - b = - 1 → (1)

P(x) is divisible by (x - 2) thus P(2) = 0 , that is

P(2) = 2³ + a(2)² + 2b + 2 = 0 , that is

8 + 4a + 2b + 2 = 0

4a + 2b + 10 = 0 ( subtract 10 from both sides )

4a + 2b = - 10 → (2)

Solve (1) and (2) simultaneously

Multiply (1) by 2

2a - 2b = - 2 → (3)

Add (2) and (3) term by term eliminating the term in b

6a = - 12 ( divide both sides by 6 )

a = - 2

Substitute a = - 2 into (1) and solve for b

- 2 - b = - 1 ( add 2 to both sides )

- b = 1 ( multiply both sides by - 1 )

b = - 1

Which is the pair of congruent

Answers

Answer:

CBA = DEA

Step-by-step explanation:

Theyre the only right angles listed.

Suppose the sample space for a continuous random variable is 0 to 50. If the
area under the density curve for the variable from 0 to 38 is 0.76, what is the
area under the density curve from 38 to 50?
A. 0.34
B. 0.924
C. 0.76
D. 0.24

Answers

Your answer is D.024

Answer:

0.24

Step-by-step explanation:

Which function shows a fabric with a price of $1.25 per square yard?

Answers

Answer: n=1.25x

Step-by-step explanation:

X represent the number of yards and n represent the total amount

The function which shows the fabric with a price of $1.25 per square yard will be y = 1.25x where x represents square yard and y represent the price of fabric.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function.

Given that the

Price of fabric = $1.25/ yard

Let's say the price of fabric = y

Square yard = x

Then y = 1.25x so it will be the correct answer.

For more about the function

brainly.com/question/23712366

#SPJ6

The diagram shows a cuboid.
6 cm
The height of the cuboid is 6 cm.
The volume of the cuboid is 90 cm.
What is the area of the shaded face?

Answers

Answer:

length x width x 6 = 90

area of shaded face = 15

The area of the shaded region is 15 square cm.

What is area?

The space occupied by a flat shape or the surface of an object is called area.

Formula for the area of rectangle

[tex]Area = lb[/tex]

Where,

l is the length of the rectangle.

b is the breadth of the rectangle.

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid.

Formula for volume of cuboid

volume = length × breadth × height

According to the given question.

We have,

Height of the cuboid  = 6cm

Volume of the cuboid = 90 cubic cm.

⇒ length × breadth × height = 90

⇒ length × breadth × 6 = 90

⇒ length × breadth = [tex]\frac{90cm^{2} }{6cm}[/tex]

⇒ length × breadth = 15 square cm....(i)

Since, the area of shaded region = length × breadth

From (i)

Length × breadth = 15 square cm .

Hence, the area of the shaded region is 15 square cm.

Find out more information about volume and area here:

https://brainly.com/question/15585435

#SPJ2

Kareem has a pencil that is 13.5 centimeters
ong and a crayon that is 87.5 millimeters
ong. How many millimeters longer is
the pencil than the crayon?
(1 centimeter = 10 millimeters)

Answers

47.5 millimeters longer

The pencil is 47.5 millimeters longer than the crayon.

To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.

Given that length of the pencil = 13.5 centimeters

Length of the crayon = 87.5 millimeters

To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.

So, the length of the pencil in millimeters is:

13.5 centimeters × 10 millimeters/centimeter = 135 millimeters

Now we can calculate the difference in length between the pencil and the crayon:

Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters

Subtracting the lengths, we find that the pencil is:

135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.

Therefore, the pencil is 47.5 millimeters longer than the crayon.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Help!

Janella has her hair styled and wants to tip her stylist 18%. Write an equation that could be used to calculate the tip, y, for a bill total of x dollars.

Answers

Answer:

10( 3/4x  * 9/500y ) = 10  

Step-by-step explanation:

We know 18% can also be found

when we take the x amount 75 x 0.18 = 13.50

We thereafter find 75-13.50 = 61.50 for Janella's hair cost plus $13.50 tip.

But for x = 750 x 9/500 = 10

We find  13.50 = 10

x= 1.5

18% coincidentally is 13.5 and 13.5 x 1.5 = 18

So we could redesign and use 18 in the equation

An equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.

Given that, Janella has her hair styled and wants to tip her stylist 18%.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the tip be y and total bill be y.

So, tip y = 18% of total bill x

⇒ y = 18% of x

⇒ y = 18/100 × x

⇒ y = 0.18x

Therefore, an equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?

x Superscript five-thirds Baseline y

s Superscript five-thirds Baseline y Superscript one-third

x Superscript three-fifths Baseline y

x Superscript three-fifths Baseline y cubed

Answers

Answer:

The correct option is B:

B) x superscript five-thirds Baseline y superscript one-third

Step-by-step explanation:

The expression can be written as:

[tex]\sqrt[3]{x^5y}[/tex]

We know that cube root can also be written as the power of 1/3, So

[tex]\sqrt[3]{x^5y} = (x^5y)^{1/3}[/tex]

Multiplying the power with both variables

[tex](x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}[/tex]

Simplifying the equation to get final form

[tex]x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}[/tex]

As we can see that it is similar to the option B which is

B) x superscript five-thirds Baseline y superscript one- third

the correct option is B

The expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is;

x Superscript five-thirds Baseline y Superscript one-third

The expression can be written as;

[tex] \sqrt[3]\frac{{ {x}^{5} } }{y} [/tex]

In essence, Upon simplification; we have;

x⁵ ^(1/3) × y^(-1/3)

Therefore, we have;

x^(5/3) × y (-1/3)

The expression therefore becomes;

[tex] \frac{ {x}^{ \frac{5}{3} } }{ {y}^{ \frac{1}{3} } } [/tex]

Read more on indices;

https://brainly.com/question/1592472

For the following fraction ,tell whether you will add ,subtract, or multiply the exponents

Answers

Answer:

Add the exponents

Step-by-step explanation:

Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.

EX:

x multiplied by  x^5=x^6

Answer:

We add them

But for negative values we always keep the negative value as a decrease.

4 x -4 as powers still becomes -8

and not -16

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.

2^4 x 3^-4 = 16/81 shows and proves we multiply them and just use adding as a short cut.

A small business employs 98 people. All

Answers

What’s the rest of the question

In the function y+3=(1/3x)^2+1 what effect does the number 1/3 have on the graph as compared to the graph of y=x^2

Answers

Answer:

I think the answer is

B. it stretches the graph horizontally by a factor of 3

Step-by-step explanation:

Answer:

It shrinks the graph vertically to 1/3 its original height

What value is a discontinuity of x squared plus 2 x plus 3, all over x squared minus x minus 12?

x = −1
x = −2
x = −3
x = −4

Answers

The answer that you’re looking for to this question is x = -4

Answer:

x=-2

hope this helped

HELP!!
Determine if the triangles in the figure are congruent if so right the congruency statement and the reason the triangles are congruent explain your answer

Answers

Answer:

Yes

Step-by-step explanation:

Statement                                         Reason

ab = bd                                               Given

ac=cd                                                  Given

bc = cb                                                definiton of reflex line

triangle abc is congruent to triangle dbc      side side side postulate

Answer: It has been very long since I did geometry but, the triangles are definitely congruent.

Step-by-step explanation:

I do not know the congruency statement but I can tell you why. First of all, those red lines on the triangles indicate that two sides of both triangles are congruent to each other. Lastly, both of them share one line which means, all lines are congruent to each other.

∠ABC=∠DBC

I hope this helps :)

Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees. What is the value of x? [Art not to scale.]
x = 23
x = 35
x = 58
x = 93

Answers

Answer:

x = 93

Step-by-step explanation:

Given

<QSR = 35

<SRQ = 58

<SQP = x

Required

Find x

To find the value of x, a triangle needs to be drawn (See attachment).

From the attachment;

<SQP + <SQR = 180 ----------Angle on a straight line (Equation 1)

<SQR + <QSR + <SRQ = 180 ----------- Sum of angles in a s triangle (Equation 2)

Substitute <QSR = 35 and <SRQ = 58 in equation 2

<SQR + 35 + 58 = 180

<SQR + 93 = 180

Subtract 93 from both sides

<SQR + 93 - 93 = 180 - 93

<SQR = 87

SUbstitute 87 for <SQR in Equation 1

<SQP + 87 = 180

Subtract 87 from both sides

<SQP + 87 - 87 = 180 - 87

<SQP = 93

Recall that <SQP = x

So, x = 93

Answer:

x = 93

Step-by-step explanation:

cuz it is

Other Questions
How did abolitionists use Enlightenment ideas to criticize the institution ofslavery in Europe and the United States?O A. They argued that economies based on free labor were strongerthan those with slaves.OB. They claimed that individual states should be given the chance tovote on abolition.C. They noted that enslaving people denied them their right to libertyand equality.D. They appealed to Christians who believed that God viewed allpeople as equal. Factor completely 3x2 x 4. 1960 were polled. 279 of them preferred Rock and Roll. What is the % of these students? A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 1100 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions? Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions? 5 3 3 4 What immediate effect did waves of immigrants have on American cities?A. New foods and activities entered American cultureB. City services could not keep up with the number of peopleC. More businesses were openedD. Housing became very limited and cramped if a rectangular painting is 3 feet long and 5/6 foot wide what is the area of the painting The Converting Department of Osaka Napkin Company uses the average cost method and had 2,000 units in work in process that were 60% complete at the beginning of the period. During the period, 25,200 units were completed and transferred to the Packing Department. There were 1,100 units in process that were 30% complete at the end of the period. a. Determine the number of whole units to be accounted for and to be assigned costs for the period. b. Determine the number of equivalent units of production for the period. g (Ignore income taxes in this problem.) Overland Corporation has gathered the following data on a proposed investment project: Click here to view Exhibit 8B-1 and Exhibit 8B-2 to determine the appropriate discount factor(s) using tables. Investment required in equipment $ 440,000 Annual cash inflows $ 77,000 Salvage value of equipment $ 0 Life of the investment 20 years Discount rate 13 % The company uses straight-line depreciation on all equipment. Assume cash flows occur uniformly throughout a year except for the initial investment. The internal rate of return on the investment is closest to: An omniscient narrator is an all-knowing narrator who is aware of the thoughts and feelings of all the characters of the story. Omniscient narration usually applies to fiction rather than to drama. Keeping this idea in mind, how is the chorus different from a modern-day omniscient narrator? In a large population, 64% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal to 4 places. Which table represents a function? I will give brainliest answer How do you go from 98 to 720 using just one letter?RIDDLE... Can somebody explain to me how to find vertex form from a graph?? I put an example graph if you need it :))) Which person is NOT an American citizen? O A. Mai, who was born in Florida but now lives in Thailand O B. Vladimir, who was born in Russia but now holds an American Passport O C. Marta, who was born in St. Louis to Bosnian parents O D. Sinead, who is visiting the United States from the United Kingdom on vacationpls help :(( George and Paula are running around a circular track. George starts at the westernmost point of the track, and Paula starts at the easternmost point. The illustration below shows their starting positions and running directions. They start running toward each other at constant speeds. George runs at 9 feet per second. Paula takes 50 seconds to run a lap of the track. George and Paula pass each other after 14 seconds.After running for 4 minutes, how far east of his starting point is George? What was the original reason for imperialism? Whats the correct answer for this? Baking soda, NaHCO3, can be commercially produced during a series of chemical reactions called the Solvay process. In this process, NH3(aq), NaCl(aq), andother chemicals are used to produce NaHCO3(s) and NH Cl(aq).To reduce production costs, NH3(aq) is recovered from NHCl(aq) through a different series of reactions. This series of reactions can be summarized by theoverall reaction represented by the unbalanced equation below.NHACH(aq) + Ca(s) - NH3(aq) + H20() + CaCl(aq)Balance the equation below for the overall reaction used to recover NH3(aq), using the smallest whole-number coefficients.