solve the equation f'(x) = 0:

Solve The Equation F'(x) = 0:

Answers

Answer 1

Break it down gently

f(x) = 1 - sin⁴3x + cos6x/6

let's break ( - sin⁴3x) and (Cos6x/6) and 1 separately

the derivative of ( -sin⁴3x) = 12cos3xsin³3x

the derivative of (cos6x/6) = -sin6x

the derivative of (1) = 0

f'(x) = 0

12cos3xsin³3x - sin6x = 0


Related Questions

a yard is equal in length to three feet

Answers

Answer:

if it takes yards and turns it into feet then it just multiplies it by 3

Step-by-step explanation:

a binder normally costs $8.99. use this information to answer the questions below

Answers

Answer:

You are asking a question that cannot be solved by anyone outside of your school.

Step-by-step explanation:

What information is below?

In the image below, why must triangle A'B'C be similar to ABC?

(Don't mind the chosen answer)

Answers

Answer: Option (3)

Step-by-step explanation:

You can get 2 pairs of corresponding angles from the parallel segments, meaning that they are similar by angle-angle.

Volt Electronics sells a Y-Box game console for $207. The store markup on thr Y-Box is 38%. What was the wholesale price that the store paid for it?​

Answers

The wholesale price that the store paid for the Y-Box game is $150.

What is the wholesale price?

When the price of an item is marked up, it means that the price of the item was increased by a certain percentage. The good then becomes more expensive.

Wholesale price = selling price / ( 1 + percentage mark up)

$207 / (1+ 38)

$207 / (1.38) = $150

To learn more about profit, please check: https://brainly.com/question/26181966

PLS HELP ME 50 POINTS AND I WILL MARK THE BRAINLIEST

Answers

For the third picture, angle QTS is 154 degrees

For the last picture, angle mJH is 55 degrees

I don’t know the first two but I hope this helps for now until someone can answer the first two.

y+2x=2 find the slope of every line perpendicular to the graph of the equation

Answers

Answer:

[tex]m_{perpendicular}[/tex] = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 2x = 2 ( subtract 2x from both sides )

y = - 2x + 2 ← in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Mr bean contributed 500 naira to a business, Mr. Benson contributed 300 naira, and Mr. Robinson contributed 200 naira. what is Mr bean's share if they share a profit of 2000 naira according to the amount each contributed

Answers

Answer:

Mr Bean will get 1000 naira.

Step-by-step explanation:

They invested in the ratio of 5:3:2 , meaning that Mr Bean will get half the profit. 1/2 X 2000 = 1000

A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?

Answers

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Help to solve the equation​

Answers

Answer:

n = -1.25

Step-by-step explanation:

S(ABCD) = AB × AD

S(ABCD) = 2n × (4n + 5)

S(ABCD) = CD × AD

2n × (4n + 5) = CD × (4n + 5)

n = -1.25

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Of the students at Milton Middle School, 126 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?

The answer choices are:
A: 140
B: 210
C: 280
D: 350

Answers

Answer:

C

Step-by-step explanation:

[tex].45s = 126[/tex]

[tex]s = 280[/tex]

Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she expects it will cost her (between transportation, admission, souvenirs, and so on) to see each one. The prices are listed in either US dollars ($) or euros (€). Kari has a budget of $585 set aside for sightseeing. Item Cost Currency Tour of the Vatican 68. 77 € Tour of Rome 95. 41 € Tour of Naples 71. 06 $ Tour of Venice 113. 38 $ Tour of Milan 49. 69 € She would also like to tour Genoa as well, which would cost her €60. 85. If the conversion rate of US dollars to euros at the time of Kari’s visit is 1:0. 6859, how will this affect her budget? Round all dollar values to the nearest cent. A. Kari can see Genoa and have $60. 33 left in her budget. B. Kari can see Genoa and have $41. 38 left in her budget. C. Kari has almost exactly enough left in her budget to see Genoa. D. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Answers

Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

What are Units conversions?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,

Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69

                  = €398.31

Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,

[tex]\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72[/tex]

The amount that is left with Kari,

[tex]\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)[/tex]

                                    [tex]= \$585-\$580.72\\\\=\$4.28[/tex]

Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,

[tex]\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72[/tex]

Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Learn more about Units conversion:

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Match the vocabulary word with the correct definition.

Answers

1. answer choice 3

2. answer choice 2

3. answer choice 1

4. answer choice 4

5. answer choice 5

Answer:

1. the answer choice 3

2. the answer choice 2

3. the answer choice 1

4. the answer choice 4

5. the answer choice 5

Step-by-step explanation:

Solve for x.
4=8x - 10y

Answers

Answer:

x= 1/2 + 5y/4

20,10,5, ...
Find the 9th term.

Answers

Answer:

0.078125.

Step-by-step explanation:

This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.

nth term = a1 r^(n -1) so here:

9th term = 20(0.5)^(9-1)

= 20(0.5)^8

= 0.078125.

Find the equation of the line that is perpendicular to the line Y equals 4X and passes through the point -10, -6. Write the equation in point slope form

Answers

Answer:

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x ← is in slope- intercept form

with slope m = 4

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{1}{4}[/tex] and (a, b ) = (- 10, - 6 ) , then

y - (- 6) = - [tex]\frac{1}{4}[/tex] (x - (- 10) ) , that is

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

Which is a way to borrow money from a bank financial institution to pay for a car?

Answers

Hey there!

The Best Ways to Borrow Money

Banks.

Credit Unions.

Peer-to-Peer Lending (P2P)

401(k) Plans.

Credit Cards.

Margin Accounts.

Public Agencies.

Financing Companies..

Answer:

There are many options like Banks, Credit Unions, Peer-to-Peer Lending (P2P), 401(k) Plans, Credit Cards, Margin Accounts, and Public Agencies.


Write down an inequality to describe each of these solution sets.

Answers

Answer:

(a) x<=2

(b) x>-2

(c) x>=10

(d) x<-20

Katie took a plane to visit her grandparents for the summer. at the airport, she paid to check 3 bags. since all of her bags were over the weight limit, she had to pay an additional $6 fee for each bag. katie paid a total of $102 to check her bags.
which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?

Answers

Answer:

it costs  $26 to check a bag that's under the weight limit

Step-by-step explanation:

she had to pay an additional $6 fee for  each of the 3 bags.($18 in total)

x= each bag

3x +18 = 102

3x=84

x=26

   

Answer:It costs $28 for a bag that is under the weight limit.

Step-by-step explanation:

3(x+6) = 102

3x+ 18 = 1023x+18=102

3x = 843x=84

x = 28x=28

Simon's dog jumped into
a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to meet the dog
part a: how long is the bridge, in feet?
part b: how many feet did the dog swim?

Answers

The length of the bridge and the length the dog swam are 12.12 feet and 32.36 feet respectively

The problem forms a right angle triangle.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

Therefore, the length of the bridge and the length the dog swam can be calculated as follows:

tan 68° = opposite / adjacent

tan 68° = 30 / x

cross multiply

x = 30 / tan 68

x = 12.12 ft

length of the bridge = 12.12 ft

The length the dog swim is as follows:

sin 68°= opposite / hypotenuse

sin 68° = 30 / h

h = 30 / sin 68

h = 32.3561767942

The distance the dog swimmed = 32.36 ft

learn more on right triangle here: brainly.com/question/22734914

She says that the coffee cup fountain actually holds about 400 gallons of coffee.
The newscaster claims that if the coffee fountain really broke, the 400 gallons of coffee would cover the
equivalent of half a city block.
You look up some information.
• One gallon of water covers about 13.8 square feet.
• Near the mall, an average city block is about 300 feet by 300 feet.
Assume the fountain holds 400 gallons of coffee. Using the information given, determine whether the
newscaster's claim is correct.
• Construct an argument that supports or refutes the newscaster's claim.
Include mathematics to support your argument.

Answers

https://www.perfection-events.com/content/back-basics-coffee-essentials

Since the area 400 gallons will cover, 5520 square feet is less than the area of half a city block which is 45000 square feet, the Newscasters claim is wrong.

What is the area of the city block?

The area of the city block is calculated from the product of the dimensions provided:

The city block is in form of a square, hence it's area = side × side

Dimension of city block = 300 feet by 300 feet.

Area of city block = 90000 square feet

Half of area of city block = 45000 square feet

1 gallon covers 13.8 square feet

400 gallons will cover = 400 × 13.8 = 5520 square feet

The area 400 gallons of coffee will cover is less than 45000 square feet.

Therefore, the news caster's claim is wrong.

Learn more about area at: https://brainly.com/question/3948796

Which of the following functions represents an exponential decay with a 15% rate of change where A represents the initial value and x represents time in years

Answers

The function that represent this exponential decay is given as y = A(0.85)ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that A is the initial value, there is a decay of 15%, hence:

b = 100% - 15% = 0.85

The function that represent this exponential decay is given as y = A(0.85)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Assume that the following data were generated using a valid and appropriate methodology. XYZ Data Analytics, Inc. Received properly completed surveys from 523 members of the target population for a new product. One hundred seventy nine of those respondents indicated they would buy the new product at the proposed price

Answers

Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

179 out of 523 members indicated they would buy the new product at the proposed price, hence:

[tex]\pi = \frac{179}{523} = 0.3423[/tex]

Then the bounds of the interval are found as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

please guys help me if u answer it correctly I will brainlist u​

Answers

Answer:

1= 40, 25, 10

2= 9,375, 46,875, 234,375

3= 234, 729, 2,187

4= 192, 384, 768

Please help me with this

Answers

Answer:

11 cm

Step-by-step explanation:

1m = 100cm

By examining the graph carefully, we can see that the record in 1985 is 2.4 m. In 1970 it was slightly under 2.3 m. For it to be 15cm it would have to be 2.25m. For it to be 9 cm it would the record would have been above 2.3m.


¿ A que distancia se encuentran dos masas de 60 kg y 80 kg, si la fuerza de
atracción entre ellas es de 3x10-31N.

Answers

Teniendo en cuenta la Ley Universal de la Gravitación, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

Ley Universal de la Gravitación

La Ley Universal de la Gravitación establece que los cuerpos, por el simple hecho de tener masa, experimentan una fuerza de atracción hacia otros cuerpos con masa, llamada fuerza gravitacional.

Esta ley dice que la fuerza gravitacional entre dos cuerpos es directamente proporcional al producto de sus masas e inversamente proporcional al cuadrado de la distancia que los separa.

Matemáticamente se expresa de la siguiente manera:

[tex]F=G\frac{Mm}{d^{2} }[/tex]

donde:

G es la constante gravitatoria universal, con un valor de 6,67×10⁻¹¹[tex]\frac{Nm^{2} }{kg^{2} }[/tex].M y m son las masas de los cuerpos que interactúan.d es la distancia que los separa.

Distancia entre dos masas

En este caso, sabes:

F= 3×10⁻³¹ NM=  60 kgm= 80 kg

Reemplazando en la Ley Universal de la Gravitación:

[tex]3x10^{-31}N =6,67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{60 kg x80 kg}{d^{2} }[/tex]

Resolviendo:
[tex]\frac{3x10^{-31}N}{6,67x10^{-11}\frac{Nm^{2} }{kg^{2} }} = \frac{60 kg x80 kg}{d^{2} }[/tex]

[tex]4,4977x10^{-21} \frac{kg^{2} }{m^{2} } = \frac{4800 kg^{2} }{d^{2} }[/tex]

[tex]d^{2} x4,4977x10^{-21} \frac{kg^{2} }{m^{2} } =4800 kg^{2}[/tex]

[tex]d^{2} = \frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }[/tex]

[tex]d = \sqrt{\frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }}[/tex]

[tex]d = \sqrt{1,0672x10^{24} m^{2} }[/tex]

d= 1.033 ×10¹² m

Finalmente, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

Aprende más acerca de la Ley Universal de la Gravitación:

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brainly.com/question/11359658

helppppppppppppppppppppppp

Answers

Answer:

0.13m

Step-by-step explanation:

1m = 100cm

0.13m = 13cm

Answer:

0.13 meters

Step-by-step explanation

In metric measures the conversion from meters to centimeters is

1 meter = 100 centimeter

because centi means one hundredth and meter means the unit meter.

Therefore, 1 cm = 0.01 meter. Now you just multiply 13 on both sides and you get 13 cm = 0.13 meters

If you have 19 cups full of water and 45 gallons of water. what does the gallon equals to how many cups of water?​

Answers

Answer:

45 divide by 19 =2 r 7 thanks

What is the area of this figure?

Answers

Answer:

56 im pretty sure not my level but if i did it right it should be but if it is wrong im sorry

Step-by-step explanation:

Answer:

58.5 ft ^2

Explanation:

You find the area of the 3 individual shapes then add them together.

the question is
on the image. ​

Answers

Answer:

PR = 7.99 cm (2 dp)

Step-by-step explanation:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

From inspection of the triangle:

a = PRb = PQ = 12.1 cmc = RQ = 14.5 cm

Substituting the given values into the formula;:

⇒ a² + b² = c²

⇒ PR² + 12.1² = 14.5²

⇒ PR² + 146.41 = 210.25

⇒ PR² = 210.25 - 146.41

⇒ PR² = 63.84

⇒ PR = ±√(63.84)

⇒ PR = ±7.99 (2 dp)

As distance is positive, PR = 7.99 cm (2 dp) only

Circle A has a radius of 9.0 cm. The shortest distance between B and C on the circle is 8.5 cm. What is the approximate area of the shaded portion of circle A?
30.0 cm²

38.25 cm²

56.5 cm²

254.5 cm²

Answers

Answer:

38.25 cm²

Step-by-step explanation:

We use the formula for the length of an arc to find the central angle of the sector of the circle.

Then we use the formula for the area of a sector of a circle to find the area.

Length of arc of circle of radius r:

[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]

s = arc length

n = measure of the central angle of the sector

[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]

[tex] 8.5~cm = \dfrac{n}{360^\circ}2 \pi \times 9.0~cm[/tex]

[tex] n = 54.1^\circ [/tex]

Area of sector of circle of radius r:

[tex] A = \dfrac{n}{360^\circ} \pi r^2[/tex]

A = area of sector of circle

n = measure of the central angle of the sector

[tex] A = \dfrac{54.1^\circ}{360^\circ} \pi (9.0~cm)^2[/tex]

[tex] A= 38.25~cm^2 [/tex]

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