If f(x)=6x²-x³, then at what value(s) of x does the tangent to the curve f(x)is parallel to line 9x=1+y?

Answers

Answer 1

The given line in slope-intercept form is

9x = 1 + y   ⇒   y = 9x - 1

so that its slope is 9. Any tangent to f(x) at some point (x, y) will be parallel to this line whenever f'(x) = 9 at that point.

We have

f(x) = 6x² - x³

with derivative

f'(x) = 12x - 3x²

Solve for x that makes f'(x) = 9 :

9 = 12x - 3x²

3x² - 12x + 9 = 0

x² - 4x + 3 = 0

(x - 3) (x - 1) = 0

x = 3 or x = 1


Related Questions

An Atlanta school district wants to compare the effectiveness of a standard AP Statistics curriculum and a new "hands-on AP Statistics curriculum. Two
experienced teachers, Mrs. Davis and Mr. Cohen, each teach one class with the standard curriculum and one with the new approach. Students are
assigned at random to these four classes. At the end of the year, all students take the AP Statistics exam. Which of the following are the experimental units
in this experiment?

Answers

In every experiment, there are experimental unit. The experimental units  in this experiment is the students in the four classes.

The experimental unit is referred to as the person, animal, or object that is the subject of the experiment.

The  Experimental units is known to often receive different treatments from one another in an experiment.

The experimental method used often has a lot of manipulation of variables so as to establish cause and effect relationships.  The unit is the object to which the treatment is randomly given to. If the experimental units are human beings, they are referred to as subjects.

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Which of the following strategies is most helpful for protecting the soil from water erosion?
A) Alley cropping with tilled soil
B) planting crops in contour strips
C) rotating crops between different fields
D) using shelterbelts to separate crop fields

Answers

Answer:

B

Explanation:

its planting crops in contour strips :D i took the test and got this correct!

On plain terrain over a slope, contour strip cropping is advised; it is used to stop runoff (the movement of water on the soil surface), which results in a loss of soil fertility. According to studies, terracing and contour strip cropping work together to conserve soil and water. Thus, option B is correct.

What planting crops in contour strips prevent water erosion?

Contour farming's primary benefit is that it minimizes soil erosion. When it rains, traditional farming techniques that produce along straight, long, and flat slopes parallel to the flow of water accelerate up erosion since all the water flows downhill in one direction.

Therefore, contour strip cropping is the practice of cultivating crops in a grid-like pattern across a sloped field and along its contours. All the contour farming's benefits (cropping and tilling) are there, and it also offers various kinds and depths of soil cover.

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#SPJ2

Source 2.
"The French revolution and those in North and South America have been transformed into founding myths
in their respective countries and are thought to mark the emergence of citizenship, of national economies,
of the very idea of the nation. But in their own time, the revolutions' lessons were inconclusive.... The
revolutions of the Americas began by drawing on ideas of [liberty and citizenship)...to redefine
sovereignty and power within imperial polities but ended up producing new states that shared world space
with reconfigured empires. The secession of states from the British, French, and Spanish empires did not
produce nations of equivalent citizens any more than it produced a world of equivalent nations.... Popular
sovereignty was far from the accepted norm in western Europe and within empires' spaces overseas it was
unclear whether the idea of (individual rights] would be a contagious proposition or one (restricted to) a
select few.... The nation had become an imaginable possibility in world politics. But the leaders of
[empires) did not want to limit their political compass to national boundaries."
Jane Burbank and Frederick Cooper, historians, Empires in World History, 2010
Identify and explain ONE way in which the revolutions of Latin America followed the pattern suggested
in Source 2

Answers

Answer:

ANO PO SASAGUTAN?

Explanation:

Answer:

asan po Ang questions

d ko po masasagotan dahil Wala pong question

What institution are this?

Answers

Answer:

this is San Miguel corporation sign and gsac sign

San Miguel Corp. And gsac

ang unti-unting pagsasalin ng mga amerikano ng kapangyarihang namamahala sa sarili sa mga pilipino ay​

Answers

Answer:

????????????‽???‽¿‽aaàaaaaaaaa

think about the information system your current / past employer used in everyday operations how would you redesign that information system to make it more efficient provide a summary of your actions / decisions for each step of the design process​

Answers

An information system that was used in a company that I once worked with was an application where the employees could check their status, paychecks, etc.

An information system simply means an organizational system that is designed to collect, store, and distribute information.

If I could redesign the information system that I used is that I'll like it to have a feedback option. This will give the employees the opportunity to provide feedback. This will be vital in enhancing organizational goals.

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What factor describes when populations decrease because animals are moving out of a population

Answers

Answer: emigration

hope this helps

Describe the differences between how Borlaug came up with a plant with the traits he wanted with how companies like Monsanto get plants with
the traits they want.
The green revolution

Answers

Norman Borlaug developed high-yield crop varieties by using conventional breeding techniques. Moreover, agricultural biotechnology corporations use DNA recombinant technologies to improve crop yield.

Norman Borlaug was an American agronomist who developed high-yield semi-dwarf crops (i.e., wheat and rice) varieties during the 60s by crossing different crop varieties.

This period of time was known as the 'Green Revolution' and led Borlaug to win the Nobel Peace Prize because his work helped to alleviate hunger in developing countries.

Moreover, current agricultural biotechnology corporations use DNA recombinant technologies to develop genetically modified organisms, which exhibit desired traits for agriculture (for example, resistance to drought or high grain yield).

A genetically modified organism is any organism (e.g., a plant) whose genetic material has been altered by using DNA recombinant technologies.

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The first step in pursuing your fianancial goals is________. ​

Answers

Answer:

it is to plan ahead, and determination

Answer: The first step towards realizing your financial goals is creating a realistic budget. A budget is simply a spending plan that is based on your expenses and income. A written plan helps you stay on track, day to day and month to month, for meeting your financial goals. For most students, debt is a part of life.

(Please mark as brainliest <3)

Please select the word from the list that best fits the definition

May like to move when studying

Interpersonal

Musical

Body-Kinesthetic

Spatial

Linguistic

Intrapersonal

Logical-Mathematical

Answers

Body-kinesthetic because when your listening to music it gives you the ability to move and with body movements

Explain how having a poor diet can affect how children feel about themselves and their overall well-being?

Answers

A poor diet will not only affect adults but children as well well first it can affect their health physically and second it can also cause problems with their mental image witch can cause long term effects.

Shade of the figure.

Answers

Explanation:

there is no figure my guy

There is no attachment

What examples of supporting evidence does Henry provide to support his thesis? how effective would this evidence be to his audience

Answers

thank you for the 30 points

Answer:

evidence containing facts contradictory to the author’s argument

Explanation:

can you guys help plss​

Answers

Answer:

1.c

2.b

3.d

4.e

5.a

Explanation:

How to join the ROA?

Answers

Answer:

What is ROA?

Explanation:

You can apply for ROA membership on-line by going to www.roa.org and following the links to the on-line application form. ...
You can apply for ROA membership by mail by completing the appropriate application form. ...
Then mail the application with the appropriate check of credit card information to.




Tabcorp provides wagering products via internet, mobile devices and phone?
True
False

Answers

Answer:

Tabcorp provides wagering products via internet, mobile devices and phone?

True

Explanation:

brainlies plsss

ông A trước khi chết có làm di chúc cho vợ 100 triệu, còn lại chia đều cho các con và cháu. Hãy chia tài tản của ông A?
- TH1; Di chúc miệng không hợp pháp
-TH2; Di chúc miệng hợp pháp
Biết tài sản của ông A là 1 tỷ các con đều đã thành niên

Answers

Answer:

In April 2016, Mr. Nam went to the notary office to make a will to determine a savings deposit of VND 200 million that he inherited from his biological father and mother. According to his will, Mr. Nam left all this money to Hoang - 20 years old, his son with his wife, Nguyet. The part of the house of Mr. Nam and his wife is not allowed to make a will. In addition, Mr. Nam and Mrs. Nguyet also had a child, Hai (12 years old, at the time of Mr. Nam's death), but due to suspicion that Hai was not his child, Mr. Nam did not mention Hai in his will.

Let's divide Mr. Nam's assets, assuming Mr. Nam dies in February 2017.

Explanation:

A decrease in the money supply will shift the aggregate __________ curve to the __________.

Answers

Answer:

demand,left

Explanation:

Hi there!

A decrease in the money supply will shift the aggregate DEMAND curve to the LEFT.

Decreasing the money supply is an example of contractionary monetary policy. This results in an increase in the nominal interest rate, which causes a decrease in Aggregate Demand (Primarily Investment Spending, Gov Spending, and Interest-sensitive consumer spending).

A decrease in Aggregate Demand results in a Shift LEFT of the Aggregate Demand curve.

1. Understand the reporting effect: What is the effect on income before taxes of the sales transaction requested by the CFO?
2. Specify the options: If Jim does not record the sales transaction requested by the CFO, what is the effect on total assets and income before taxes of the inventory write-down?
3. Identify the impact: Are investors and creditors potentially harmed by the CFO's suggestion?
4. Make a decision: Should Jim follow the CFO's suggestions?

Answers

Answer:

"TOP SECRET"

Explanation:

My brain

ɢᴀᴡᴀɪɴ 7: bᴀsᴀʜɪɴ ᴀɴɢ ᴍɢᴀ ʟɪᴋᴀs ɴᴀ ʏᴀᴍᴀɴ sᴀ ʜᴀɴᴀʏ ᴀ ᴀᴛ ɪᴛᴀᴍʙᴀʟʙɪᴛᴏ sᴀ ᴋᴀᴘᴀᴋɪɴᴀʙᴀɴɢᴀɴɢ ᴘᴀɴɢ ᴇᴋᴏɴᴏᴍɪᴋᴏ sᴀ ʜᴀɴᴀʏ ʙ









ᵇᵃˡⁱᵏᵗᵃʳⁱⁿ ᵐᵒ :~
>:ɥoʇǝu ʇoƃɐsɐs ƃɐɯ ǝʇɹǝʍs​

Answers

Answer:

send the statement

Explanation:

then ill answer it for u

Answer:

Nasaan yung hanay A at yung hanay B ????

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