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

A box contains orange balls and green balls. The number of green balls is seven more than three times the number of orange balls. If there are 103 balls altogether, then how many green balls and how many orange balls are there in the box?

Answers

Answer:

Step-by-step explanation:

x = orange ball count

y = green ball count

y = 3x + 7

x + (3x + 7) = 103

4x = 96

x = 24 orange balls

y = 103 - 24 = 79 green balls

or

y = 3(24) + 7 = 79

Answer:

52 green, 15 orange!

Step-by-step explanation:

take reference from the following image:

For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 125 and a standard deviation of 5. What percentage of males in the town that
have a systolic blood pressure higher than 131, to the nearest tenth?

Answers

Answer:

11.5 %

Step-by-step explanation:

mean- 125 | sd: 5

z-score: 131-125/5= 6/5= 1.2

for z= 1.2, percent: 88.49 %

100-88.49= 11.51 -> 11.5

Selina has a balance of $1,200 in his First State Bank checking account. He deposits a $387.89 paycheck, a $437.12 dividend check, and a personal check for $250 into his account. He wants to receive $400 in cash. How much will he have in his account after the transaction?

Answers

Answer:

$1,875.01

Step-by-step explanation:

Cash in Bank :

DEBIT(+) :

+ $1,200.00

+ $387.89

+ $250.00

+ $437.12

CREDIT (-) :

- $400.00

Capital:

DEBIT (-) :

- $400.00

CREDIT (+) :

+ $1,200.00

+ $387.89

+ $250

Accounts Payable :

DEBIT (-):

0

CREDIT (+):

+ $437.12

Find perimeter of the house

Answers

Answer:

  50x +11

Step-by-step explanation:

The perimeter is the sum of the lengths of the 5 sides. Sides marked with the same symbol have the same length. We can use multiplication to simplify the repeated addition.

  P= (14x +13) +2(12x +3) +2(6x -4)

  P = (14 +2·12 +2·6)x +(13 +2·3 +2(-4))

  P = 50x +11

The perimeter of the house is 50x +11.

Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicated that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. a. How many business owners in the survey plan to provide a holiday gift to their employees this year

Answers

The business owners that would provide a holiday gift to their employees this year is 21.

Percentage are a measure of frequency. It is the fraction of an amount that is usually expressed as a number out of hundred.

In order to determine the business owners that would provide a holiday gift to their employees this year, multiply the percentage of business owners that indicated they plan to give gifts by the total number of people surveyed.

35% x 60

0.35 x 60 = 21 people

To learn more about percentages, please check: https://brainly.com/question/92258

x/33=-2/3i don't know how to solve this some one help me please

Answers

Answer:

x/i=22

Step-by-step explanation:

x/33=2/3*i

*33       *33

x=2/3*33*i

/i              /i

x/i=2/3*33

x/i=22

solve pls brainliest

Answers

5.15, 5.2222, 5.19, 5.169



1: 103/20 2: 5.169 3: 5.19 4: 5 2/9

We have: 103/20= 5,15   ;   5 2/9= 5,(2)

So the answer is:

103/20 < 5.169 < 5.19 < 5 1/2

ok done. Thank to me :>

work out angel x

Please could u help me with this
ASAP thanks you ​

Answers

Angle ————————————————

Find the difference of 651

Answers

What difference? You just said "Find the difference of 651", but what am I subtracting by? What equation?

The weight of an object on the moon is
1 of its weight on Earth. If a moon rock
weighs 20 lb on Earth, how much did
the moon rock weigh on the moon?

Answers

Answer:

10 lb on planet earth which turns very slowly

Answer:

10 pounds on planet earth which turns very slowly

Step-by-step explanation:

Multiply. Write your answer as a fraction in simplest form.
2x7/16

Answers

Answer:

7/8

Step-by-step explanation:

7/16×2=7/16×2/1

          =14/16

          =7/8

[(3 x 8) + 2?] + 6 - 2 Write out the steps Jayden will have to take in the yellow box? what are the steps?​

Answers

Answer:

[(3*8)+2]+6-2

PEMDAS

There are parentheses so solve what is in them

3*8=24

[24+2]

26+6-2

Do the addition

32-2

30 is your answer

30 steps

PLS HELP FIND GRADIENT PLSSS DUE TMRW GIVING BRAINLIEST FOR FIRST ANSWER

Answers

Whats the question?......................

Answer:  

For a;  

The answer will be 3  

For b;  

The answer will be -4  

Step-by-step explanation:  

To find the gradient of the lines, you must pick 2 points on the line and then find  [tex]dy/dx[/tex]  

I hope this helped!  

Can I have brainliest?  

Have a great day/night/afternoon!  

(I already went to the other question you posted, do not worry.)

- ❤ 7272033Alt ❤

If a crate of 250 apples costs $95, what is the unit cost

Answers

The unit cost of an apple in a crate of 250 apples is $2.63.

Given the following data:

Total number of apples in a crate = 250 applesCost of a crate of apple = $95

To determine the unit cost of an apple:

In this exercise, you're required to calculate the cost of one apple in a crate, knowing that there are 250 apples in total at a cost of $95.

Thus, we would divide the total number of apples by the total cost of all the apples as follows:

[tex]Unit\;cost = \frac{Total\;apples}{Total\;cost}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Unit\;cost = \frac{250}{95}[/tex]

Unit cost = $2.63

Read more on cost here: https://brainly.com/question/13214374

find the perimeter of a trapezium whose side is 3cm,4cm,5cm,6cm​

Answers

Answer:

  18 cm

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  3 cm + 4 cm + 5 cm + 6 cm = 18 cm

_____

Additional comment

If these are the side lengths in order around the figure, it cannot exist. (It will be a line segment 9 units long.)

please answer fully ?/'//////////////////////

Answers

Answer:

17.5

Step-by-step explanation:

i solved it and got that answer. hope this helps =)

Based on the diagram, which is a true statement?
o If a student plays in the band, then he/she is an
honor student.
Olfa student is an honor student, then he/she plays in
the band.
O If a student is not an honor student, then he/she
cannot play in the band.
O If a student is an honor student, then he/she may
also be a band member.

Answers

Answer:

top god's menu back door distract 9 call scars double knot thunderous gone away gone day SKZ ALL AROUND THE WORLD

Answer:

Step-by-step explanation:

if a student is an honor student, he/she may also be a band member

(X-y^2)(6x-y^2) find the product

Answers

If you want to find the product it would be 6x^2-7xy^2+y^4

I Need help with 4-7

Answers

Answer:

Step-by-step explanation:

4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°

5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.

6) NOT parallel. see pic.

If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel

7)

b = 78°  as it corresponds with a labeled angle above it

a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180

f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180

e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180

c = 58° as it corresponds with f

d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180

 

Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
a = 7, b = 7, C =

Answers

Answer:

C (Hypotenuse) = 9.9

Step-by-step explanation:

Given the two sides of a triangle, where a = 7, and b = 7:

We can use the Pythagorean Theorem where it states: c² = a² + b².

Substitute the given values into the Pythagorean Theorem to find the length of the hypotenuse.

c² = a² + b²

c² = 7² + 7²

c² = 49 + 49

c² = 98

[tex]\LARGE\mathsf{\sqrt{c^2}\:=\:\sqrt{98}}[/tex]

c = 9.89 or 9.9

Therefore, the length of the hypotenuse is 9.9, making the given triangle an isoceles triangle with two equal sides.

plz answer this question fast

Answers

Nsnsjdksbvdjdosjsbhs

y - 2x=4
3x -5y =15 ddddddddddd

Answers

Answer:

Hope this is right and helps :)

Step-by-step explanation:

what is the surface area of the regular pyramid below?

A. 1512 units^2
B. 952 units^2
C. 1316 units^2
D. 756 units^2

Answers

D. 756 units^2

Step-by-step explanation:

there ya go :)

The surface area of the regular pyramid is 960 square units, the correct answer is B.

How to find the volume and base's area of a right rectangular pyramid?

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units, then:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]

is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

[tex]b = l \times w\: \rm unit^2[/tex]

We are given that;

Base of square pyramid is 20, the height is 14

Now,

Perimeter = 4 x 20 = 80 units

Base area = 20 x 20 = 400 square units

Surface area = (1/2) x 80 x 14 + 400

Surface area = 560 + 400

Surface area = 960 square units

Therefore, the surface area pyramid will be 960 square units.

Learn more about right rectangular pyramid here:

https://brainly.com/question/27234847

#SPJ7

At the math store each circle costs one amount and square cost anthor. 5 circles +1 square =20 cents, two circles +3 square=21 cents . At these prices how many cents does 12 circles + 5 squares cost?

Answers

Answer:

61 cents

Step-by-step explanation:

We can create 2 equations.

5C + (1)S = 20

2C+ 3S = 21

We can alter the first equation below

S = 20 - 5C

Now we replace S with 20 - 5C into the second equation as shown

2C + 3(20 - 5C) = 21

Simplify:

2C + 60 - 15C = 21

Combine Like Terms:

-13C = -39

C = 3

Now we can calculate S

S = 20 - 5(3)

S = 5

12(3) + 5(5) = 36+25 = 61

What is a way that a lender could collect on a debt when the borrower defaults??

Answers

Answer:

If the borrower defaults on the loan, the lender can collect the collateral outlined in the loan agreement. But the lender can’t go after the borrower for further compensation, even if the value of the collateral doesn’t cover the full amount of debt owing.

Step-by-step explanation:

Answer:Wuts the answer

Step-by-step explanation:

soooooooooooooooooooooooo who wants to help with mah math

Answers

Answer:

t = c · (3.5)  

Step-by-step explanation:

The rate of change is 3.5.

So it takes three and a half mins to make one plane

So 3.5 times the number of planes equals the total time it takes to make them.

I really hope this helps!

$250, 3.4%, 3 years what would my interest be?

Answers

Ur interest should be 3.4 divided by 250 times 3

Find Surface Area Of This Triangular Prism

Answers

Answer:

325 cm²

Step-by-step explanation:

find area of each side even those that are not shown. then add the areas

If sin A =P then the value of tan thita + sec thita is

Answers

i guess you have copied the wrong question.. it should be somewhat like if tan theta + sec theta = p then find tge value of sin theta...

secθ+tanθ=P

⇒(secθ+tanθ)² = P²

⇒sec² θ+tan² θ+2tanθsecθ=P²

⇒2tan²θ + 1 + 2 sinθ/cos θ = P²

⇒2 sin²θ+ cos²θ+ 2 sinθ total by cos²θ = P²

Applying componendo and dividendo

=> 2sin²θ+ cos²θ+ 2sinθ- cos²θ/ 2sin²θ+ cos²θ+ 2sinθ- cos²θ = p²-1 / p²+1

⇒2sinθ(sinθ+1)/ 2(sinθ+1) = p²-1 / p²+1

=> sinθ = p²-1/ p²+1

help pls :))))))))))))

Answers

Answer:

yes, the triangle are congruent by SAS

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