Find the first partial derivatives of the function.
z = (6x + 2y)^9

dz/dx=
dz/dy=

Answers

Answer 1

If z = (6x + 2y)⁹, then the partial derivatives of z are

• with respect to x :

∂z/∂x = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂x

∂z/∂x = 9 (6x + 2y)⁸ • 6

∂z/∂x = 54 (6x + 2y)⁸

• with respect to y :

∂z/∂y = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂y

∂z/∂y = 9 (6x + 2y)⁸ • 2

∂z/∂y = 18 (6x + 2y)⁸


Related Questions

You get brainist plz

Answers

Answer:

54

Step-by-step explanation:

54


A department store marked down all of its summer clothing 23%. The following week the remaining items were marked down again
15% off the sale price. When Jorge bought two tank tops on sale, he presented a coupon that gave him an additional 20% off. What
percent of the original price did Jorge save?

Answers

Answer:

58%

Step-by-step explanation:

There are 25 students in a class, 7 of them will be chosen to go on a field trip. How many ways can these students be chosen.

Answers

Answer:

Step-by-step explanation:

order is not important so

25 ways to fill the first spot

24 ways to fill the second

23 ways to fill the third

...

19  ways to fill the 7th

25•24•23•22•21•20•19 = 2,422,728,000

which also equals 25! / (25 - 7)!

I want to know what the letter a is , and how to do it.1/3 + a 5/4

Answers

STEP

1

:

           5

Simplify   —

           4

Equation at the end of step

1

:

  1          5

 (— +  a) -  —  = 0

  3          4

STEP

2

:

           1

Simplify   —

           3

Equation at the end of step

2

:

  1          5

 (— +  a) -  —  = 0

  3          4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        a     a • 3

   a =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1 + a • 3     3a + 1

—————————  =  ——————

    3           3  

Equation at the end of step

3

:

 (3a + 1)    5

 ———————— -  —  = 0

    3        4

STEP

4

:

Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

     The left denominator is :       3

     The right denominator is :       4

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

3 1 0 1

2 0 2 2

Product of all

Prime Factors  3 4 12

     Least Common Multiple:

     12

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 4

  Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      (3a+1) • 4

  ——————————————————  =   ——————————

        L.C.M                 12    

  R. Mult. • R. Num.      5 • 3

  ——————————————————  =   —————

        L.C.M              12  

Adding fractions that have a common denominator :

4.4       Adding up the two equivalent fractions

(3a+1) • 4 - (5 • 3)     12a - 11

————————————————————  =  ————————

         12                 12  

Equation at the end of step

4

:

 12a - 11

 ————————  = 0

    12  

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 12a-11

 —————— • 12 = 0 • 12

   12  

Now, on the left hand side, the  12  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  12a-11  = 0

Solving a Single Variable Equation:

5.2      Solve  :    12a-11 = 0

Add  11  to both sides of the equation :

                     12a = 11

Divide both sides of the equation by 12:

                    a = 11/12 = 0.917

a = 11/12 = 0.917

                 

Answer:

11/12

Step-by-step explanation:

You want to subtract 5/4 minus 1/3 but you cant so you have to find the greatest denominator first which would be 12 because 3x4=12.

Since you multiplied 4x 3 to get 12 then you will multiply the 5 by 3 and the 1 by 4 to get this -> 5/4= 15/12     1/3= 4/12

Then subtract 15/12- 4/12= 11/12

a=11/12

Historically, 48% of people have rented their residence. A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. A researcher is studying the claim that the percentage of people renting has increased. Compute the value of the test statistic for this hypothesis test. Round your answer to 2 decimal places.

Answers

Answer:

1.79

Step-by-step explanation:

^p = x/n

    = 260/500

    = 0.52

z = p1-p2 / √^p(1-p)/n

  = 0.52 - 0.48 / √0.48x(1-0.48)/500

  = 1.79

For all horizontal lines the range is

Answers

When you have a function where y equals a constant, your graph is a truly horizontal line,

In that case, the range is just that one and only value. No other possible values can come out of that function! Many other functions have limited ranges.

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=23(0.292)^x

what is the % increase

Answers

Answer:

Decay

since 0.292 is less than 1

% rate of decrease

1 - 0.292 = 0.708

70.8%

Which fraction converts to a repeating decimal number?

Answers

Answer:

1/3

Step-by-step explanation:

(1/2)power 5=?? please help

Answers

[tex] \frac{1}{2} \: to \: the \: power \: of \: 5 \: is \: \frac{1}{32} or \: 0.03125 [/tex]

Answer:

[tex] \ {\boxed{ \tt ( \frac{1}{2}) ^{5} = \frac{1}{32} }}[/tex]

Step-by-step explanation:

[tex] \\ \tt( \frac{1}{2} )^{5} [/tex]

[tex] \\ \tt= \frac{ {1}^{5} }{ {2}^{5} } [/tex]

[tex] \\ \tt = \frac{1 \times 1 \times 1 \times 1 \times 1}{2 \times 2 \times 2 \times 2 \times 2} [/tex]

[tex] \\ \tt = \frac{1}{32} [/tex]

Evaluate 11/6 - 2/8=

Answers

Answer:

19/12

Step-by-step explanation:

PLEASE HELP!!
Guys please help i need this

Answers

Answer:

Because they are both base angles of isosceles triangles

Jessica's health insurance premium is $3964 annually. If her employer pays 85% and she is paid monthly, how much is deducted from each monthly check? O $22.88 O $49.55 O $330.33 O $594.60​

Answers

Answer:

594.60

Step-by-step explanation:

basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3

What is 162 multiplied by 0.967

Answers

The answer would be 156.654

Answer:

Remove the decimals and multiply normally.

162 x 967

156654

Put back in the decimals. In this case, move the decimal point back three spaces from the end.

156.654

:)

Help I’ll mark you brainlist

Answers

Answer:

24.0

Step-by-step explanation:

do 34sin(45) to solve for x

how to find the volume of an oven with the inside dimensions 3 ft by 1.5 ft by 3 ft

Answers

9514 1404 393

Answer:

  13.5 ft³

Step-by-step explanation:

The volume of a cuboid is the product of its length, width, and height:

  V = (3 ft)(1.5 ft)(3 ft) = 13.5 ft³

The volume of the oven is 13.5 ft³.

__

You may see this as the formula ...

  V = LWH

3. Because it is so popular, a store owner increases the cost of a toy by $3.49. The new cost of the toy is $9.84.
(a) Write an equation that represents the situation. Use c to represent the original cost of the toy.
(b) Solve the equation using a related equation. Show your work.
(c) What does the solution of the equation represent? plz answer

Answers

a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35

Answer:

a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35. Just like jpforpresident146788 said.

Answer this please not links-

Answers

Answer:

I believe it's 9 hope this helps

A cone with a radius of 3 feet and a height of 5 feet is placed on top of a cylinder as shown. Find the volume of the total figure in terms of pi

Answers

Answer:

Step-by-step explanation:

v=1/3πrh

v=1/3×π×3×5=5π

The volume of the combined solid is given as 69π ft³.

What is a right circular cylinder?

A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.

The volume of the combined solid is given as,

Volume of cone + Volume of cylinder

The expression can be written as,

1/3πr²h + πr²H

Where h and H are the heights of cone and cylinder respectively.

Plug r = 3, h = 5 and H = 6 to obtain as,

⇒ 1/3π × 3² × 5 + π × 3² × 6

⇒ 69π

Hence, the volume of the combined solid is obtained as 69π ft³.

To know more about cylinder click on,

brainly.com/question/16134180

#SPJ2

How to expand
5(2m)^3

Answers

Answer: 40m^3

Solution steps:

1. Expand (2m)^3.

5 x 2^3 m^3

2. Calculate 2 to the power of 3 to get 8.

5 x 8m^3

3. Multiply 5 and 8 to get 40.

40m^3

WILL GIVE BRAINLEST! HELP ME ASAP

These tables of ordered pairs represent some points on the graphs of lines s and t.
Which system of equations is represented by lines s and t?

5x−2y=−157x+4y=20

3x+5y=−185x−9y=25

x+4y=−89x−y=21

2x−y=−142x+y=6

Answers

Answer:

Step-by-step explanation:

Line s

slope m = Δy / Δx =  (22 - 4) / (4 - (-5)) = 18/9 = 2

y = mx + b

22 = 2(4) + b

b = 14

y = 2x + 14

which can be rearranged to

2x - y = -14

Line t

slope = ( -4 - 14) / (5 - (-4)) = -18/9 = -2

-4 = (-2)(5) + b

b = 6

y = -2x + 6

2x + y = 6

2x − y = −14             2x + y = 6

What is the difference between (2.4x10^8) and (9.2x10^6)

Answers

Answer:

  2.308×10^8

Step-by-step explanation:

Your calculator can tell you what the difference is.

  2.4×10^8 -9.2×10^6 = (2.4 -0.092)×10^8 = 2.308×10^8

_____

Additional comment

If this is a problem where you're expected to round the answer to an appropriate number of significant figures, you will notice the largest contributor has a resolution of 0.1×10^8. That will be the resolution required in the answer: 2.3×10^8.

Could you help me to solve this

Answers

Answer:

No, sorry about that, buddy, I cannot.

How have vaccines impacted health?


A: Vaccines have only made a little progress at preventing most diseases.
B: Vaccines are effective on some people but not others.
C: Large numbers of people have had allergic reactions to vaccines
D: Some diseases have almost completely disappeared



Answers

Answer:

D some disease have almost completely disappeared

B. Or D. Would be your answer. The reason why I would say B. Is because people have different immune systems which makes your body reject the vaccine contents. But on the other hand for D. Is that it they have made a lot of pretty bad sicknesses almost disappear such as chicken pox.

What is the sum of all positive integers n ≤ 20 that satisfy the condition that if n is odd, then n is a multiple of 5? I will give brainliest for the correct answer AND explanation (It is not 20)

Answers

The sum of all positive integers that satisfy the condition as described is; 100

The number set of n is therefore;

n = {1, 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.

According to the question;

If n is odd, then n is a multiple of 5.

The data set therefore includes all odd numbers; This is so because the question says; if n is odd; then n is a multiple of 5.

The sum of all positive integers that satisfy the condition is therefore;

1 + 3 +5 +7 + 9 +11 +13 +15 +17 +19 = 100.

Read more:

https://brainly.com/question/18837188

what is the absolute value for 115 and 15

Answers

They are the same because it only affects negative numbers. If it is a negative number then it is the same number just positive.

How many tiles would be used to make figure five

Answers

attach a pic please
that would help



2-2 this is a freebie for points guys

Answers

Answer:

2-2=0

Step-by-step explanation:

You have 2 cookies and you give it to 2 friends.

Answer:

0

Step-by-step explanation:

According to the Laws of Physics, yeah I don't wanna try explaining this

2. Solve the equation and check.
8x-8= 7 + 3x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Answers

the answer is x=3 i believe

Can anyone help! Please!

Determine whether the inverse of F(x) is a function.

Answers

Answer:

Step-by-step explanation:

A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.

I'll give brainiest whoever answers first

Answers

aight slide it here big boy

Other Questions
Write an equation for each line in slope-intercept form. simplify-3 divided by (-2/5) I need help question 15 Energy pyhamids, otherwise known as trophic level diagrams, are used to represent the flow ofenergy through an ecosystem. An organisms trophic level indicates the organism's position inthe sequence of energy transfers. The bottom, or base, of an energy pyramid is a positionalways held by the producers and represents (by far) the largest percentage of biomass forthe food web. The need for such a large biomass of producers is to support the energyneeds for all the organisms at higher trophic levels. Draw and label an energy pyramid for thefollowing 1 hectare of farmland: 30,000,000 MJ of Sunlight (solar energy) reaches ground level during a 150-day growingseason 52,164 MJ of energy is stored in the soybeans grown on the hectare of land1,645 MJ of energy is stored in edible beef by cattlewho eat the soybeans Emma has addressed seven invitations to herbirthday party. This is one more than half of theinvitations that she intends to send. How manyinvitations does she intend to send? how have astronomers interpreted the unexpectedly fast rotation of galaxies Which researcher theorized that hypnosis comes about as a form of roleplay between hypnotist and subject? A. Ernest Hilgard B. Theodore Sarbin C. Theodore Barber D. Milton Erickson Please select the best answer from the choices provided A B C D It is estimated that ________% of children in the United States are being treated for ADHD with stimulant medications. Write the linear equation that gives the rule for this table. x f(x) 1 47 2 45 3 43 4 41 Chapter 9 Pricing, Costing, and Growth.Its 10 questions - multiple choice and thank you !I will give you brainliest if you answer all 10 (: What are the differences between the sat and act. YES I WILL MARK BRAINLIST:DSarah is going to the food truck with her friends. Hot dogs cost $2 and drinks cost $3. She has a total of $24 that she can spend. The equation 2x+3y=24 represents this scenario. Determine the amount of hotdogs that can be purchased if Sarah orders 4 drinks.Question 4 options:4 hotdogs7 hotdogs6 hotdogs5 hotdogs Learning Task 3: Compose clear and coherent sentences using the given modals and their functions below. Write your sentences in your notebook Modals Function Sentences 1. shall regulation 2. must strong obligation 3. can ability 4. may possibility 5. should advice how would you describe the religion of Hinduism to someone who follows western religions? find the square root of each by division method: a) 225 b) 961 c) 3969 d) 10404If you can give the correct answer first, I'll mark the brainliest. 4.16 11y-3-2-10slope: ________ are often dissatisfied individuals who cannot bring about internal change and, out of a sense of commitment or frustration, take their concerns to external constituencies. what are the 5 principles of fitness How do I know which region to shade for this inequalityy 2x + -4? What does "for example" tell readers about the sentence it introduces?1. that they're about to be introduced to a new idea2. that it's a sentence that will show them a similarity3. that it's sentence will show them a difference4. that they're about to hear an example of the idea in the previous sentence