Let f(x)=x3+9x2−81x+14. (a) Use the definition of a derivative or the derivative rules to find g

Answers

Answer 1

Answer:

[tex]g=6x+18[/tex]

Step-by-step explanation:

From the question we are told that:

Function

 [tex]f(x)=x^3+9x^2−81x+14[/tex]

Generally 1st derivative f'(x) of Fuction f(x) is

 [tex]f'(x)=3x^2+2*9(x)-81[/tex]

 [tex]f'(x)=3x^2+18(x)-81[/tex]

Generally 2nd derivative f''(x) of Fuction f(x) is

Where

 [tex]f''(x)=g[/tex]

Therefore

 [tex]g=3x^2+18(x)-81[/tex]

 [tex]g=2*3x^1+18[/tex]

 [tex]g=6x+18[/tex]


Related Questions

A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. He subdivided a portion of his land into 10 separate, but essentially equal, plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Assume the conditions for regression inference have been satisfied. To construct the 90% confidence interval for the true slope of the population regression equation relating amount of fertilizer to yield.

Required:
How many degrees of freedom does the t-distribution have?

Answers

Answer:

Option b is correct answer

Step-by-step explanation:

The complete question is attached herewith

Solution

The equation of a line in given by

y=a +bx where

a is the Y- intercept and

b is the  slope

From the given piece of information, we can derive that

coefficient of intercept = 10.1  

coefficient of fertilizer= 1.150

Substituting the given values in above equation, we get -

y=10.1+1.150x

Option b is correct answer

HELP PLEASE!!!!
Which expression is equivalent to:
1.2y +4.5 -3.4y - 6.3?

5.5y - 10.2
-2.2y - 1.8
4.6y - 1.8
-2.2y + 11.1

Answers

Answer:

-2.2y-1.8

Step-by-step explanation:

1.2y+4.5-3.4y-6.3

1.2y-3.4y+4.5-6.3

-2.2y+4.5-6.3

-2.2y-1.8

how do you find 25% of 92

Answers

Answer:

23

Step-by-step explanation:

A golden rectangle has a length of 5 cm. Find the area of the rectangle to the nearest square centimeter.
A. 9 square centimeters
B. 25 square centimeters
C. 17 square centimeters
D. 13 square centimeters
E. 15 square centimeters

Answers

Answer:

Option B is correct one

B. 25 square centimeters

If you are helped with my answer pls tag me brianliest I really want it... Plzz

THANK you...

The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.

What is the area of the rectangle?

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

A golden rectangle has a length of 5 cm. Then the width of the rectangle is given as,

W = 5 - 2

W = 3 cm

Then the area of the rectangle will be given as,

A = 5 x 3

A = 15 square centimeters

The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.

More about the area of the rectangle link is given below.

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ANSWER ASAP DONT SEND A FILE WHAT IS THE TRANSFORMATION????

Answers

translation then rotation

you slide the shape over (transformation) to get to 2 and then you turn the shape (rotation) to get to 3

y = 4/5x - 5


y = -5/4x - 5


y = -4/5x - 5


y = 4/5x + 5

Answers

Answer:

The answer is the 3rd one.

Y=-4/5x-5 is the answer.

Two boats started to move towards each other from two docks, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?

Answers

Answer:

3.333 hours

Step-by-step explanation:

Given the total distance is 30 miles, and boat 1 travels at 3 mph and boat 2 travels at 6 mph, and the time for both is the same. Distance is speed S times time T so

30 = D(boat 1) + D(boat 2)

30 = (S1 * T) + (S2 * T)

30 = 3T + 6T

30 = 9T

3.333 = T

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

D im not sure but i hope its right

Step-by-step explanation:

You're right its the answer is C

Red Pontiac potatoes are
$5.00 per pound. If Jeremy wants to buy 14 pound, how much money will he spend?

Answers

70$. 14 multipled by 5= 70

Answer:

Step-by-step explanation: 14 * 5 = $70

Trey invested $15,000 into a savings account for five years at 7% interest. How much is in the account if the interest is compounded monthly?​

Answers

Multipuly po ba (15;000 7%)

An accessories store sells $8 custom socks and $11 custom hats. If 11 items were sold on Monday, and the
total sales were $100, how many socks were sold?

Answers

Answer:

7 socks were sold

Step-by-step explanation:

7*8=56

11-7=4

4×11=44

56+44=100

This proves the answer of 7 to be correct

I'm getting ripped tonight r.i.p. that (mmm) ayeeeeee

Answers

ayeee I LOVE THIs song

Answer:

Di.ck by doja cat and

Step-by-step explanation:

MARK ME BRAINLIEST PLZZZZZZZZZZZ

A two-state system is in an environment at temperature 500 K. The energy of state 1 is 4.1e-20 J, and the energy of state 2 is 5.7e-20 J. Let be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio

Answers

Complete Question

A two-state system is in an environment at temperature 500 K. The energy of state 1 is[tex]E_1=4.1e-20 J[/tex], and the energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]. Let P(1) be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio P(2)/P(1)

Answer:

 [tex]X=0.0984[/tex]

Step-by-step explanation:

From the question we are told that:

Temperature T=500 K

Energy of state 1 [tex]E_1=4.1e-20 J[/tex],

Energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]

Generally the equation for Probability of finding the system in state is mathematically given by

 [tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]

Therefore

For Probability of finding the system in state 1 [tex]P(1)[/tex]

 [tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]

Where

   K is Boltzmann constant

   [tex]K=1.38*10^{-23}[/tex]

 [tex]P(1)=e ^{\frac{-(4.1e-20 J)}{1.38*10^{-23}*500}}[/tex]

For Probability of finding the system in state 1 [tex]P(2)[/tex]

 [tex]P(2)=e ^{\frac{-(5.7e-20 J)}{1.38*10^{-23}*500}}[/tex]

Generally the equation for The Ratio of [tex]P(2)[/tex] and [tex]P(2)[/tex] is mathematically given by

 [tex]X=\frac{P(2)}{p(1)}[/tex]

 [tex]X=e ^{\frac{E_1-E_2}{KT}}[/tex]

 [tex]X=e ^{\frac{-(4.1-5.7)e-20 J)}{1.38*10^{-23}*500}}[/tex]

 [tex]X=0.0984[/tex]

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

2,144.66 miles³

Step-by-step explanation:

v = (4/3)πr³

v = (4/3)π(8³)

v = 2,144.6605848506

Rounded

2,144.66 miles³

I got 17157.28 ,,,,,

In 120 spins, about how often can you expect to get a number less than 6?

Answers

Answer:

is is 35

Step-by-step explanation:

asdfasdf

Pleas help me am going to fail

Answers

Answer:

20 × 9= 180

...............................

Hi there!

[tex]\large\boxed{180 u^2}[/tex]

Use the following formula to solve for the area:

A = b × h

Plug in the given numbers:

A = 20 ×  9 = 180 units²

What value of a will make the following equation true?
(x + a)(x – a) = x2 – 16
a = 2
a= 16
a=4
a = 8

Answers

4! I answered that question a few days ago!!

PLEASE HELP I WILL MAKE YOU BRAINLIEST IF IT LETS ME

NO FAKE LINKS OR YOU WILL BE REPORTED

Answers

Answer:

Jeffery because the other dude go the 2 numbers wrong (he put the x coordinates on y and y on x)

Jeffrey is correct :)

Identify the translation of the figure with the vertices P(2,3), Q(−1,0), and R(1,−2), along the vector ⟨4,0⟩.
P ′(3, 6), Q ′(3, 0), R ′(5, −2)
P ′(6, 3), Q ′(3, 0), R ′(5, −2)
P ′(3, 6), Q ′(5, 0), R ′(−2, 5)
P ′(6, 3), Q ′(5, 2), R ′(2, −5)

Answers

9514 1404 393

Answer:

  B.  P ′(6, 3), Q ′(3, 0), R ′(5, −2)

Step-by-step explanation:

The translation vector tells you that 4 is added to each x-coordinate.

  (x, y) ⇒ (x, y) +(4, 0) = (x +4, y)

Then ...

  P(2, 3) ⇒ P'(2+4, 3) = P'(6, 3) . . . . . matches B or D

  Q(-1, 0) ⇒ Q'(-1+4, 0) = Q'(3, 0) . . . . . matches choice B

Check

  R(1, -2) ⇒ R'(1 +4, -2) = R'(5, -2) . . . . . also matches choice B

The hundred students took a survey. They were asked, "What is your favorite kind of sandwich?" Turkey was chosen by 25% of the
students.
What number of students chose turkey?
O A 5
B. 50
Ο Ο
ООО
C. 100
D. 175
E 500

Answers

Answer:

Step-by-step explanation:

Answer:

its A because 25% is equal to 25 out of a hundred

Step-by-step explanation:

Evaluate 4y if y = 3

Answers

Answer:

12

Step-by-step explanation:

y = 3 so

4 × 3 = 12

The value of 4y at y=3 is 12.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Expression : 4y

Now, we have to put y= 3

So, 4y

= 4(3)

= 12

Hence, the value of 4y at y=3 is 12

Learn more about Equation here:

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In the first quadrant ,you start at 4,6 and move 3 units right and 1 unit down ,what point will u end up

Answers

Answer:

You end up at point (7,5).

Step-by-step explanation:

Starting point:

The coordinates of the starting point are: x = 4, y = 6.

So

(4,6).

Move 3 units right:

Moving 3 units right is adding 3 to the x-coordinate. So

x = 4 + 3 = 7

(7,6).

Move 1 unit down:

Moving 1 unit down is subtracting 2 from the y-coordinate. So

y = 6 - 1 = 5.

You end up at point (7,5).

If you place a 35-foot ladder against the top of a 31-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.​

Answers

Answer:

4ft

Step-by-step explanation:

The bottom of the ladder will be 16.25 feet from the bottom of the building.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

As per the situation, we create a right triangle as shown.

Let x be the distance from the bottom of the building to the bottom of the ladder.

Using Pythagoras's theorem, then, we have:

x² + 31² = 35²

Simplifying this equation, we get:

x² = 35² - 31²

x² = 264

x = 16.25 (rounded to the nearest tenth of a foot).

Therefore, the bottom of the ladder will be 16.25 feet from the bottom of the building.

Learn more about Pythagoras's theorem here:

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I need this answer today pls it is important pls help me out i will give you a crown and good ratings if you get it write

Answers

the medium is the number between 70 and 77
median: 68
mean: 69
mode: 64
range: 13

As of 2018, Apple had 5 billion outstanding shares. The stock price is roughly $200.
A) How much is Apple worth?

B) If all tangible assets total $1 Billion, what
represents the rest of Apple's worth?

Answers

Answer:

Therefore, the value of the company is $ 1,000,000,000,000, that is, a trillion dollars. In turn, if the tangible assets of the company are worth 1 billion, all the other intangible assets of the company are worth 999 billion.

Step-by-step explanation:

Given that as of 2018, Apple had 5 billion outstanding shares whose stock price is roughly $ 200, to determine the value of the company and determine, if all tangible assets total $ 1 Billion, what represents the rest of Apple's worth, the following calculations must be done:

5 billion = 1,000,000,000

5,000,000,000 x 200 = X

1,000,000,000,000 = X

1 trillion = 1000 billions

1000 - 1 = 999

Therefore, the value of the company is $ 1,000,000,000,000, that is, a trillion dollars. In turn, if the tangible assets of the company are worth 1 billion, all the other intangible assets of the company are worth 999 billion.

in new england 47% of the houses have a garage and 36% of the houses have a garage and a backyard what is the probability that a house has a backyard given that has a garage probs and stats

Answers

Answer:

The probability that a house has a backyard given that has a garage is 76.60%.

Step-by-step explanation:

Given that in New England 47% of the houses have a garage and 36% of the houses have a garage and a backyard, to determine what is the probability that a house has a backyard given that has a garage the following crossed multiplication must be performed:

47 = 100

36 = X

(36 x 100) / 47 = X

3,600 / 47 = X

76.5957 = X

Therefore, the probability that a house has a backyard given that has a garage is 76.60%.

Laz had a hard time with this problem on his homework. Help him figure out what went wrong in his process. (Read Picture)

Answers

Answer:

x =  6/√3

y = 3/√3

Step-by-step explanation:

For a triangle rectangle with a known angle θ, we have the relations:

Sin(θ) = (opposite cathetus)/(hypotenuse)

Cos(θ) = (adjacent cathetus)/(hypotenuse)

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

For this triangle, we know an angle:

θ = 60°

And the opposite cathetus measures 3 units.

The adjacent cathetus is y.

The hypotenuse is x.

To find the value of x, we can use the Sin equation:

Sin(60°) = 3/x

x = 3/sin(60°) = 3.46 = 3*2/√3 = 6/√3

And we can use the Tan relation to find the value of y.

Tan(60°) = 3/y

y = 3/Tan(60°) = 1.73 = 3/√3

For x he didn't divide by √3, while for y he multiplied by √3 instead of dividing by √3.

In BCD, the measure of

Answers

Answer:

is this yr new questions but still it's blank

stay safe healthy and happy.

How many thirds are equal to 2/6? please explain using an equation.​

Answers

Answer:

How many thirds are equal to 2/6?

1/3 = 1/3

2/6 = 1/3

3/9 = 1/3

4/12 = 1/3

Step-by-step explanation:

I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.  

Have a great rest of your day/night!

1 thirds

divide 2/6 by 2 and you get 1/3. or multiply 1/3 by two and you get 2/6.

The Histogram is a graphic which is: A. Bar Chart useful for showing the distribution of data B. 80-20 principle C. A complex timeline D. A simple history

Answers

Answer: Flow Chart. B - Fishbone Diagram. C - Scatterplot. D - 80-20 principle; used to identify the ... The Histogram is a graphic which is: A - Bar Chart useful for showing the distribution of data. B. 80-20 principle. C. A complex timeline. D. A simple history

Step-by-step explanation: Hope this helped :)

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