similarities between the Product Rule and Quotient Rule?

Answers

Answer 1

Step-by-step explanation:

Use the product rule for finding the derivative of a product of functions. Use the quotient rule for finding the derivative of a quotient of functions.


Related Questions

What is the value of x???

Answers

The given polygon isa pentagon and the sum of its exterior angle is  360°. The value of x from the given polygon is 8

Sum of the exterior angle of a polygon

The given polygon isa pentagon and the sum of its exterior angle is  360°.

Take the sum of the angles and equate to  360° as shown;

77 + 66 + 62+ 59 + 12x =  360°

264 + 12x = 360

12x = 96

x = 8

Hence the value of x from the given polygon is 8

Learn more on exterior angles here: https://brainly.com/question/2546141

#SPJ1

The data below represent a demand schedule.

Product Price: $30, $25, $20, $15, $10
Quantity Demanded: 5, 15, 25, 35, 45

Using the midpoint approach, determine the price elasticity of demand between each of the following prices:

A. Between P1 = $30 & P2 = $25, Ed=?
B. Between P1 = $25 & P2 = $20, Ed=?
C. Between P1 = $20 & P2 = $15, Ed=?
D. Between P1 = $15 & P2 = $10, Ed=?

Round your answers to two decimal places. Enter your answers as a positive value (absolute value).

Answers

By using the midpoint approach, the price elasticity of demand between each of the given prices are:

5.502.251.170.63

What is the price elasticity of demand?

The price elasticity of demand measures the responsiveness of the quantity demanded by a consumer with respect to a specific change in price of the product, all things being equal (ceteris paribus).

By using the midpoint approach, the price elasticity of demand between each of the given prices is given by:

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (15 - 5)/[(15 + 5)/2]/(25 - 30)/[(25 + 30)/2]

Price elasticity of demand = 1/-0.1818

Price elasticity of demand = 5.50.

Part B.

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (25 - 15)/[(25 + 15)/2]/(20 - 25)/[(20 + 25)/2]

Price elasticity of demand = 0.5/-0.2222

Price elasticity of demand = 2.25.

Part C.

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (35 - 25)/[(35 + 25)/2]/(15 - 20)/[(15 + 20)/2]

Price elasticity of demand = 0.33/-0.2857

Price elasticity of demand = 1.17.

Part D.

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (45 - 35)/[(45 + 35)/2]/(10 - 15)/[(10 + 15)/2]

Price elasticity of demand = 0.25/-0.4

Price elasticity of demand = 0.63.

Read more on price elasticity here: https://brainly.com/question/24384825

#SPJ1

Solve for x
(2^2/x) (2^4/x) = 2^12

Answers

[tex] \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{2}{x} } ) \sdot(2 {}^{ \frac{4}{x} } ) = 2 {}^{12} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{2}{x} + \frac{4}{x} } ) = 2 {}^{12} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{6}{x} } ) = 2 {}^{12} [/tex]

Now, since the base on both sides are equal, therefore their exponents are equal as well ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{6}{x} = 12[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{6}{12} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{1}{2} [/tex]

or

[tex]\qquad \sf  \dashrightarrow \:x = 0.5[/tex]

Hope you got the required Answer ~

What are the zeros of the quadratic function f(x)=8^2-16-15

Answers

Answer:

C)

Step-by-step explanation:

f(x)=[tex]8x^{2} -16x-15[/tex]
[tex]8x^{2} -16x-15=0[/tex]
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]  ,  a=8, b= - 16, c= - 15

[tex]x=\frac{-(-16)+-\sqrt{(-16)^2-4*8*(-15)} }{2*8} = \frac{16+-\sqrt{736} }{16} =\frac{16+-4\sqrt{46} }{16} = 1 +- \frac{\sqrt{46} }{4} = 1+- \frac{\sqrt{23} \sqrt{2}}{2\sqrt{2} \sqrt{2} } =1+-\frac{\sqrt{23} }{2\sqrt{2} } = 1+-\frac{\sqrt{23} }{\sqrt{8} }[/tex]

(2x-2) (x+5) what does x =

Answers

Answer:

a

x

2

+

b

x

+

c

=

0

the two roots of the equation take the form

x

1

,

2

=

b

±

b

2

4

a

c

2

a

So, start by adding

5

to both sides of the equation to get

2

x

2

+

x

5

=

5

5

2

x

2

+

x

5

=

0

Notice that you have

a

=

2

,

b

=

1

, and

c

=

5

. This means that the two solutions will be

x

1

,

2

=

1

±

1

2

4

2

(

5

)

2

2

x

1

,

2

=

1

±

41

4

You can simplify this if you want to get

x

1

=

1

+

41

4

1.35078

and

x

2

=

1

41

4

1.85078

Answer:

(2x-2)=

     +2 =+2

(2x)=2

----------

    2

x= 1

-----------------------------------------------

(x+5)=

   -5=-5

x= -5

Step-by-step explanation:

You just need to separate the variable from the numbers

I want to buy a car for $17,500 and I make 13 an hour roughly how long would it take me to reach my goal? & how many hours would i have to work ?

Answers

Answer:

1347 hours

Step-by-step explanation:

Assuming the income is net income (total after taxes etc.):

Cost of car = $17,500Net income = $13 per hour

To calculate the number of hours to be worked to save enough to buy the car, divide the cost of the car by hourly net income:

[tex]\begin{aligned}\implies \textsf{Number of hours to work} & = \dfrac{\textsf{Cost of car}}{\textsf{hourly net income}}\\\\& = \sf \dfrac{17500}{13}\\\\& = \sf 1346.1538...\end{aligned}[/tex]

We have to round the number up to 1347 hours, as only $17,498 will be saved if 1346 hours are worked.

The average working week is approximately 40 hours, therefore to calculate how many weeks it would take to earn enough money to purchase the car, divide the number of hours by 40:

⇒ 1347 ÷ 40 = 33.675

So it would take 34 weeks, working an average of 40 hours a week and not spending any of the money earned, to save enough to purchase the car.

Cost of car=$17500Earnings per hour =13

Total hours

Cost/Earnings17500/131346.15

Round to the next whole instead of nearest whole to avoid depicit

1347 hours you have to work atleast

In most of the countries the average working hours per week is

45 hours

Total weeks

1347/4529.930weeks you have to work if you don't spend any money of it

If one student is chosen at random, Find the probability that the student was NOT a female that got a "C"


--------- A // B // C // Total

Male: 10 // 8 // 15 // 33

Female: 7 // 9 // 17 // 33

Total: 17 // 17 // 32 //66

Answers

The probability that the student was NOT a female that got a "C" is 15 / 32.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the student was NOT a female that got a "C" = number of males that got a C / total number of people that got a C =  15 / 32.

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Question 6 of 10 In order to solve the following system of equations by addition, which of the following could you do before adding the equations so that one variable will be eliminated when you add them? 2x - 4y = 5 6x - 3y=10 A. Multiply the top equation by -2. B. Multiply the top equation by -3 and the bottom equation by 2. C. Multiply the top equation by 3 and the bottom equation by 4. D. Multiply the top equation by -3. SUBMIT

???​

Answers

Multiply the top equation by -3 and then adding both the equations one variable will be eliminated. So the correct answer is option D.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

We are having two equations:-

2x - 4y = 5

6x - 3y=10

When we multiply the first equation by -3 the equation will become as follows:-

-6x  +  12y = - 15

6x   -  3y  =   10

By adding both the equations one variable will be eliminated:-

9y = - 5

Therefore Multiply the top equation by -3 and then add both the equations one variable will be eliminated. So the correct answer is option D.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1

belle walks 7/10 mile each morning, and 1, 4/10 miles each evening.
how many miles does she walk in 5 days

Answers

Answer:

10.5 miles.

Step-by-step explanation:

If she walks 7/10 of a mile each morning, and 1, 4/10 of a mile each day, Belle walks a total of 2 1/10 of a mile each day (2.1) miles each day)

We can just multiply the amount of miles per day by 5, (2.1 x 5) and we get 10.5 miles total.

Answer:

10 1/2

Step-by-step explanation:

divide 7/10 which is 0.7 then multiply that by 5 which is 3.5

then divide 4/10 which is 0.4 then multiply that by 5 which is 2, but add 5 which is 7.

then combine all of that together which is 3.5+7= 10.5

then convert that into a fraction which is 10 1/2

A continuous random variable X has cdf F(x)=x² b (a) Determine the constants a and b. for a < 0, for 0 < x < 1, for x > 1.​

Answers

Any proper CDF [tex]F(x)[/tex] has the properties

• [tex]\displaystyle \lim_{x\to-\infty} F(x) = 0[/tex]

• [tex]\displaystyle \lim_{x\to+\infty} F(x) = 1[/tex]

so we have to have a = 0 and b = 1.

This follows from the definitions of PDFs and CDFs. The PDF must satisfy

[tex]\displaystyle \int_{-\infty}^\infty f(x) \, dx = 1[/tex]

and so

[tex]\displaystyle \lim_{x\to-\infty} F(x) = \int_{-\infty}^{-\infty} f(t) \, dt = 0 \implies a = 0[/tex]

[tex]\displaystyle \lim_{x\to+\infty} F(x) = \int_{-\infty}^\infty f(t) \, dt = 1 \implies b = 1[/tex]

Solve this system of equations by using the substitution method. y=2x-5 6x+7=y

Answers

Answer:

[tex]x = - 3 \: and \: y = - 11[/tex]

Step-by-step explanation:

L

[tex]since \: y = 2x - 5(equation \: 1) \: \\ [/tex]

[tex]substitute \: for \: y \: in \: equation \: 2 \: (6x + 7 = y)[/tex]

[tex]6x + 7 = y \\ 6x + 7 = 2x - 5 \\ collect \: like \: terms \\ 6x - 2x = - 5 - 7 \\ 4x = - 12 \\ x = \frac{ - 12}{4} \\ x = - 3[/tex]

[tex]substitute \: for \: x in \: equation \: 1[/tex]

[tex]y = 2x - 5 \\ y = 2( - 3) - 5 \\ y = - 6 - 5 \\ y = - 11[/tex]

Answer:

[tex]y = 2.x = \frac{1}{11} [/tex]

Step-by-step explanation:

[tex] \binom{x - 56x + 7 = y}{y = 2} [/tex]

_______________________

1. Substitute y = 2 :

[tex](x - 56x + 7 = 2)[/tex]

2. Simplify :

[tex]( - 55x + 7 = 2)[/tex]

3. Isolate x for [tex]( - 55x + 7 = 2) : x = \frac{1}{11} [/tex]

4. The solution of the system of equations are :

[tex]y = 2.x = \frac{1}{11} [/tex]

How do u solve the pythagorean theorem to find out if they right trangles

Answers

To solve the theorem, we will  take the square of the longest side of a right triangle and equate to the sum of the squares of the other two sides

What is Pythagoras theorem

Pythagoras theorem states that the square of the longest side of a right triangle is equal to the sum of the squares of the other two sides

For instance, let;

c be the longest sidea and b be the other two sides

According to the theorem above, mathematically;

c² = a² + b²

Learn more on pythagoras theorem here: https://brainly.com/question/343682

#SPJ1

The graph of which of the following equations has a slope of -and an x-intercept of
(-6,0)?
A y=-x-6
B. y = − ½ x − 3
-
C. y = -x +3
D. y = -x +6

Answers

The answer is A

[tex]y = - x - 6 \\ 0 = - x - 6 \\ x = - 6[/tex]

so x intercept : (-6,0)

and slope is negative

Hope it helps

Please give brainliest

The equation of line which a slope is -1 and an x-intercept of (-6,0) will be;

⇒ y = - x - 6

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The slope of the line = - 1

And, The x-intercept = (- 6, 0)

Now,

Let the equation of line;

⇒ y = - x - 6

Slope (m) = dy/dx = - 1

And, The x - intercept is find as;

Put y = 0;

⇒ y = - x - 6

⇒ 0 = - x - 6

⇒ x = - 6

Thus, The correct equation is,

⇒ y = - x - 6

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

If F(x) = x-3, which of the following is the inverse of F(x)?
O A. F1(x) = x+ 3
B. F¹(x) = 3x
OC. F¹(x) = x-3
OD. F¹(x) = 3-x

Answers

Answer:

3-x is the inverse of f(x)=x-3

HELP WITH THIS MATH QUESTION!!! ​I DONT KNOW HOW TO DO THIS

Answers

The similarity relationship is  AC / EC = AB / ED.

The length of AB is 157.50m.

What is the length of AB?

When two triangles are similar, the ratio of the known sides of the triangles can be used to determine the length of the side of the unknown length.

The similarity relationship is : AC / EC = AB / ED

AC = 160 + 50 = 210

210 / 160 = AB / 120

AB = (210 X 120) / 160 = 157.50

To learn more about similar triangles, please check: https://brainly.com/question/10658464

#SPJ1

i needs help with it please ​

Answers

The triangle are similar because they satisfy the AAA postulate : Triangle ABC ~ Triangle PQR ( AAA similarity postulate )

Meaning of congruent triangles

A triangle can be defined as a plain shape that has three sides and three angles.

Congruent triangles are triangles that satisfy one or more congruence postulates or laws. The triangles could either be similar based on their angles or sides or angles and side being similar.

In conclusion, The triangle are similar because they satisfy the AAA postulate : Triangle ABC ~ Triangle PQR ( AAA similarity postulate )

Learn more about Congruent triangles :https://brainly.com/question/1675117

#SPJ1

Help please i need it

Answers

Answer:

4 pints

Step-by-step explanation:

1(2  1/2)   + 2(4)  + 1(5  1/2)  =5/2  +  8   + 11/2 =16/2  + 88 +  816/28/24

Therefore each can would contain 8/2 =  4 pints

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Please feel free to comment, ask questions, give feedback, or correct me if I am wrong!

Have a great day!

:)

Triangle ABC = Triangle ADF, AD = 18, BC = 17, DF= [?]

Answers

The value of the length DF is 17

How to determine the length DF?

The statement Triangle ABC = Triangle ADF means that the triangles ABC and ADF are congruent triangles.

So, we have:

AB = AD

AC = A F

BC = DF

Given that BC = 17;

The equation BC = DF becomes

17 = DF

Rewrite as:

DF = 17

Hence, the value of the length DF is 17

Read more about congruent triangles at:

https://brainly.com/question/1675117

#SPJ1

-6 3/5 - (-7 4/15) + 2 1/5​

Answers

The answer to your question would be 43/15 or 2.866 and ongoing.

Two dice are rolled. Event A is that the sum of the numbers is 7 or 11. Event B is that the sum of the numbers is 11 or 12. Find the probability of Event A or B(A union B)

Answers

Answer:

the probability is %25 percent :P

Step-by-step explanation:

Write the converse of the statement
below.
If it is 9 a.m., then I am awake.

Answers

Answer:

if I am awake then it is 9 am.

Step-by-step explanation:

if p then q the converse is if q then p.

Find the amount of simple interest on a loan of $2,500 at 4.44% interest for 12.75 months. (Round to the nearest cent)

Answers

Standard pay in monthl 196 + 111 = 217
2500* 4.44 / 100 = 111 iterest per month

HELP PLS! A kiddie pool is 9 feet long and 6 feet wide. Surrounding wach side of the kiddie pool is a cement walkway of uniform width. The combined area of the pool and walk way is 108 ft^2. Find the width of the walkway

Answers

Answer:

wait I will edit and answer it in a few minutes

A recipe calls for (1 3/8) cups of sugar to make 2 dozens cupcakes. How much sugar is needed to make 60 cupcakes?

Answers

Answer:

55/16 cups or 3.4375 cups

Step-by-step explanation:

there are 5 dozens (12) in 60, so there are 2.5 2 dozens in 60, so you would multiply 1 3/8 by 2.5 to find how many cups are needed in 60 cupcakes because 1 3/8 cups is for 2 dozen cupcakes

A tower, 50 feet high, is secured with a guy wire anchored 8
feet from the base of the tower. What angle will the guy wire
make with the ground?

Answers

The tangent of an angle is the ratio of perpendicular to the base. The angle will the guy wire makes with the ground will be 80.91°.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

A tower, 50 feet high, is secured with a guy wire anchored 8 feet from the base of the tower.

The angle will the guy wire makes with the ground will be given by the tangent.

The tangent of an angle is the ratio of perpendicular to the base.

Then we have

tan θ = 50/8

tan θ = 6.25

     θ = tan ⁻¹ (6.25)

     θ = 80.9097

     θ ≅ 80.91°

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ1

What is the value of x? 2 3 6 7

Answers

Answer:

6

Step-by-step explanation:

Answer:

2 or A

Step-by-step explanation:

Correct on edge22

If f(n) = 2n^2 + 2 and g(n) = n + 1, what is (f -g)(n) when n = -1?

Answers

the easiest way is to first subtract them first and then replace n with -1:
2n^2+2-n-1 => 2n^2-n+1
now we replace n with -1
2(-1)^2-(-1)+1 => 2+2=4
"4" is teh final answer

EASY 5TH GRADE QUESTION. WILL GIVE BRAINLIEST

How would you read the number -30?

Answers

Answer:

Negative thirty

Step-by-step explanation:

If p+q = - 2, show that p^3 + q^3 +8 =6pq

Answers

Answer:

Step-by-step explanation:

Algebraic Identities:

Identity used:  (a +b)³ = a³ + b³ + 3ab(a +b)

       p + q = -2  ------------------(I)

Both sides take cube,

        (p +q)³ = (-2)³          

a = p and b =q

  p³ + q³ + 3pq(p +q) = -8

  p³ + q³ + 3pq*(-2)   = - 8        {From (I)}

  p³ + q³  - 6pq         = -8

                  p³ + q³    = -8 + 6pq

             p³ + q³   + 8 = 6pq

Hence, proved.

     

Worth 30 points! Select the correct answer.
What is the value of x in the triangle? (file is attached below)

Answers

Answer:

A

Step-by-step explanation:

tan60=opp/adj

tan60=15/x

15tan60=x

25.98=x (when you calculate 15 root 3 it is the same number)

Other Questions
Answer all 4 questions and ill mark brainiest when I can thanks Fiona was talking to her colleagues about how advancements in digital technology had a negative effect on her life. Which aspect of herlife would Fiona consider to be a negative effect of digital technology? During the Han Dynasty one of the advancements made in the subject of medicine was the use of What is the vertex of the quadratic function f(x) =(x-6)(x+2) order the numbers from least to greatest What is the sum of the 3rd and 5th square number?? During the process of cytokinesis in a plant cell A museum groundskeeper is creating a semicircular statuary garden with a diameter of 27 feet. There will be a fence around the garden. The fencing costs $7.75 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3.14 for .The fencing will cost about $. In the passage Warwick concludes that the young woman is a resident of the house based on the fact that she The mode of Cholera which three sentence in this excerpt highlight information that the author uses to show that the disease spreads in a different manner then it was assumed at the time Which structures are similar in function, but do not indicate that the organisms are related?analogous structureshomologous structuresvestigial structurestransitional structure Auggie felt a monumental shift when he returned to school after the nature retreat.What happened? Speaking of spelling, which country added an extra syllable to its official name?. A. Using the spinner above, what is the probability that a player will draw 3 cards? B. What is the probability that a player will draw 1 card on the first spin and 2 cards on a second spin?C. Harold wants the probability that a player draws 3 cards and moves 2 spaces to be 3/8. How can he change the spinners to result in this probability? Twice during the assembly, a student is chosen at random to assist with the presentation. after the first student has finished assisting, the student returns to the group and can be chosen a second time. what is the probability that the first student chosen is a senior and the second student chosen is a sophomore?. Find the greatest common factor of 6m and 7m. Panuto: Sagutin ang mga katanungan sa ibaba.1. Ano-anong uri ng proyekto ang maaaring magawa sa mgasumusunod?Halimbawa:Damo ( Vetiver) pamaypay, walis tamboA. Pandan -B. Niyog -C. Abaka -D. Rattan-E. Buri F. Nito - I need some help on this, please. I already did the first problem. Here are the directions:Write and solve a proportion to answer the question.34 is 75% of what number?34w= 12/16w= what?Can anyone please help me? 37.6 x ???=3760this question is basically:thirty seven point six times ?what? equals three thousand seven hundred and sixty15 POINTS AVALIBLE + BRAINLIEST !!!!thanks :) Which graph represents the function?f(x)=x + 1