Find the differential of
f
(
x
,
y
)
=
x
2
+
y
3
at the point
(
2
,
1
)
.

Answers

Answer 1

[tex]f(x,y)=x^2+y^3\implies \left.\cfrac{}{} 2x+3y^2 \right]_{\stackrel{\textit{\small x=2}}{\textit{\small y=1}}}\implies 2(2)+3(1)^2\implies 7[/tex]


Related Questions

PLS HELP ME PLSS AND SHOW HOW YOU GOT YOUR ANSWER

Answers

Answer:

Step-by-step explanation:

Find the mean median and range of the data 0,1,1,2,2,3,3,3,4,4,4,4,5,5,5,5,6,6,7,7,7,8,8,9,9,17

Answers

Answer:

Mean: 5.19 or 5.2

Median: 5

Range: 17

Step-by-step explanation:

Range: Q3 - Q1

0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 17

Here, we have 26 numbers

Minimum: 0

Maximum: 17

Median: 5 + 5 = 10/2 = 5

Lower quartile (Q1): 3

Upper quartile (Q3): 7

Range (biggest # - the smallest #): 17 - 0 = 17

Mean (add up all the numbers, and divide it by 26): 135/26 = 5.19 or 5.2

Hope this helps!

Tony saw 6 birds in a tree. 1/6 of them flew away. How many were left?

Answers

Answer:

5 birds flew away

Step-by-step explanation:

1/6x6=1

( 1 bird flew away)

so, 6-1=5

Answer:

[tex]\huge\boxed{\bf\:5\:\:birds}[/tex]

Step-by-step explanation:

Number of birds Tony saw = 6Fraction that flew away = ⅙

Number of birds that flew away = ?

Number of birds that flew away = Number of birds × Fraction that leftNumber of birds that flew away = 6 × ⅙Number of birds that flew away = 1

Number of birds remaining = ?

Number of birds remaining = Total number of birds - Number of birds that flew awayNumber of birds remaining = 6 - 1Number of birds remaining = 5

[tex]\rule{150pt}{2pt}[/tex]

In drawing a circle,what instrument is used to ensure that its radius is 6 cm?

Answers

Answer:

That would be a compass.

Step-by-step explanation:

This allows you to draw circles with great accuracy.

Please help me with this problem! Picture Included!!

Answers

Answer:

y < 1

Step-by-step explanation:

graphing with inequality

Answer:

3/1/2

Step-by-step explanation:

please mark me the brainiest

The square of a difference of numbers is the different of their squares?

Always true

Sometimes true

Never true

Answers

Answer:

Sometimes true

Step-by-step explanation:

This is only true for the numbers 0 and 1 because 0 squared is 0 and 1 squared is 1 making the different of their squares 1 and the difference of the numbers also 1.

For every other number combo this is untrue.

Hey! Does can anyone help me with this? Thank you!

Answers

Answer:

=x^3/4

Step-by-step explanation:

(x^1/2)(x^1/4)

same base

1/2+1/4

=3/4

=x^3/4

Probability Practice: Cass is interested in figuring out how many customers have applied for a home mortgage recently.

Review the data and calicut are the probability that if Cass runs into one of the financial institutions customers at random, that person has applied for a home mortgage this year.

What is the total number of customers?

How many customers applied for a home mortgage?

Answers

The data given relating to the probability shows that the total number of customers will be 27300.

How to calculate probability?

The total number of customers will be:

= 24300 + 3000

= 27300

The number of customers that applied for a home mortgage will be:

= 2430 + 150

= 2580

In conclusion, the total number of customers will be 27300.

Learn more about probability on:

https://brainly.com/question/24756209

What can be divided into 6 and 4 without leaving a remainder?

Answers

Answer:

6,12,18,24,30,36,42,48,54,60... All of the numbers in this list can be divided by 6 with no remainder.

A natural number that has at least one factor other than 1 and itself.

Hope it helps!!!Brainliest pls!!!

please help, have to turn in in 30 mins

Answers

Please attach some form of question first, thank you!

Students from four classes are in talent show. A. There are 28 students in Ms. Fiona's class. The ratio of her student who are in the talent show to those who are not in the talent show is 2:5. How many of Ms. Fiona's students are in the talent show? B. Mr. Juan has 24 students in his class. Some of his students are also in the talent show. Explain why it is not possible for exactly 24% of the students in Mr. Juan's class to be in the talent show. C. The rest of the students in the talent show are from Mrs. Lee's class and Mr. Greg's class. • Mrs. Lee has 23 students in her class, and 7 of them are in the talent show. There are 4 more students from Mr. Greg's class than from Mr. Juan's class in the talent show. The number of students in the talent show from Mrs. Lee's class is greater than the number from Mr. Juan's class and fewer than the number from Mr. Greg's class. In all, 30% of the students in these three classes are in the talent show, Show or explain why there must be exactly 23 students in Mr. Greg's class. As part of the explanation, determine how many students from Mr. Greg's class are in the talent show​

Answers

Answer:

B

Step-by-step explanation:

i had this question on my test

The loudness (L) of sound in decibels is related to intensity (I)measured in watts per square centimeter by the equation: L = 10log( I 10-16 ). Find the loudness of a whisper at 10-12 W/cm2. A) 35 decibels B) 40 decibels C) 45 decibels D) 50 decibels

Answers

The function L= 10 log(I/10^-16) is a logarithmic equation

The loudness of the whisper is 40 decibels

How to determine the loudness?

The function of the loudness is given as:

L= 10 log(I/10^-16)

When the intensity is 10^-12, the equation becomes

L= 10 log(10^-12/10^-16)

Evaluate the quotient

L= 10 log(10^4)

Apply the rule of logarithm

L= 10 * 4

Evaluate the product

L = 40

Hence, the loudness of the whisper is 40 decibels

Read more about decibels at:

https://brainly.com/question/25480493

What is the value of x?
Enter your answer in the box.
X
8 2
X=
30°
452

Answers

The length οf the perpendicular is 2√2.

What is Trigοnοmetry?

Trigοnοmetry is a branch οf mathematics that deals with the study οf relatiοnships between the sides and angles οf triangles. It includes the study οf trigοnοmetric functiοns such as sine, cοsine, and tangent, which are used tο sοlve prοblems in fields such as engineering, physics, and navigatiοn.

Step 1:

Let's call the length οf the perpendicular "p".

Frοm the given infοrmatiοn, we knοw that the hypοtenuse is 8√2 and the angle at the base is 30 degrees. We can use trigοnοmetry tο find the length οf the perpendicular.

In a right triangle, the sine οf an angle is defined as the length οf the side οppοsite the angle divided by the length οf the hypοtenuse. Sο we have:

sin(30°) = p/8√2

We can simplify this expressiοn by nοting that sin(30°) = 1/2 and 8√2 = 8√(2/2) = 8√(1/√2) = 8/√2. Substituting these values, we get:

1/2 = p/(8/√2)

Simplifying further, we can multiply bοth sides by 8/√2:

4/√2 = p

Tο express the result in simplest radical fοrm, we can ratiοnalize the denοminatοr by multiplying the numeratοr and denοminatοr by √2:

p = 4/√2 * √2/√2 = 4√2

Therefοre, the length οf the perpendicular is 4√2.

Step 2:

Let's call the length οf the perpendicular "p".

Frοm the given infοrmatiοn, we knοw that the hypοtenuse is 4√2 and the angle at the base is 45 degrees. We can use trigοnοmetry tο find the length οf the perpendicular.

In a right triangle, the sine οf an angle is defined as the length οf the side οppοsite the angle divided by the length οf the hypοtenuse. Sο we have:

sin(45°) = p/4√2

We can simplify this expressiοn by nοting that sin(45°) = √2/2 and 4√2 = 4√(2/2) = 4√(1/√2) = 4/√2. Substituting these values, we get:

√2/2 = p/(4/√2)

Simplifying further, we can multiply bοth sides by 4/√2:

2√2 = p

Therefοre, the length οf the perpendicular is 2√2.

To learn more about Trigonometry from the given link

https://brainly.com/question/24349828

#SPJ1

Nine people were asked, "How many times have you been on an airplane?" Their responses are listed below. 6,9,1,19,1,6,8,1 find the range and the mode for the data

pleaseeee helpppp

Answers

Answer:     Range- 19,9,8,6,6,1,1,1     Mode- 1

Step-by-step explanation: Range is where you put the numbers from greatest to least, I believe you can also do least to greatest. Mode is whenever you have your numbers in order form greatest to least the number that shows up the most is the mode.   HOPE THIS HELPED !!!

A dairy farmer plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the herd, the pasture must contain 18 square meters. No fencing is required along the river. What dimensions will use the least amount of fencing?

Answers

Answer:

390 m (perpendicular to river) x 780 m (parallel to river)

Step-by-step explanation:

Let y be the length of the side parallel to the river, and let x be the length of the sides perpendicular to the river.

The total area and length of fence required are given by:

Rewriting the length of fence as a function of only x:

The value of x for which the derivate of L(x) is zero is the length of x that uses the least amount of fencing:

If x = 390 m, then:

The dimensions that will use the least amount of fencing are 390 m x 780 m

-1 (1 + 7x) - 6(-7 -x) = 36

Answers

Answer: x = 5

Step-by-step explanation:

    If you need to solve for x,

Given:

-1 (1 + 7x) - 6(-7 -x) = 36

Distribute:

-1 - 7x + 42 + 6x = 36

Combine like terms:

- x + 41 = 36

Subtract 41 from both sides of the equation:

- x = -5

Divide both sides by -1:

x = 5

In a survey of 1,372 office​ workers, 4.2​% said that they do not make personal phone calls. Find the actual number of respondents corresponding to the given percentage.

Answers

The actual number of respondents corresponding to the given percentage is 57.

What do percentages mean?

Percentage is the fraction of an amount expressed as a number out of 100. The sign used to rerepresnt percentages is %. Percentages are a measure of frequency.

What is the number of respondents?

4.2% x 1372 = 57

To learn more about percentages, please check: https://brainly.com/question/25764815

The questionnnnnnnnn

Answers

i’m pretty sure the answer is C

Answer:

C

Step-by-step explanation:

C because 25% + 10% = 35% and 10% + 25% is also 35%

The selling price for a classic speedboat is $20,000, which is $2000 less than two times its original price. What was the original price of the speedboat?

Answers

Answer:

$11,000

Step-by-step explanation:

let x = original price.

2x-2000=20000

2x=22000

x=11000

The sum of 3 times a number and 7 equals 4.

Answers

Answer: x = -1

Step-by-step explanation:

The problem is asking you the sum (+) of 3 times of a unknown number (let the unknown number be x) and 7, as in 3x + 7

According to the problem this expression is equal to 4,

3x + 7 = 4

1. Subtract 7 from both sides

3x = -3

2. Divide 3 on both sides

x = -1

Your final answer would be negative 1

(+1) + (-5) - (+5) + (+9)

Answers

Answer:

The answer is 0

Hope that helps!

Answer: Your answer is 0-

Suppose that two cards are randomly selected from a standard​ 52-card deck.
​(a) What is the probability that the first card is a spade and the second card is a spade if the sampling is done without​ replacement?
​(b) What is the probability that the first card is a spade and the second card is a spade if the sampling is done with​ replacement?

Answers

Answer:

A) 4 of the 52 cards are queens on the first draw; 3 of the remaining 51 cards are queens on the second draw: (4/52)*(3/51)

B) 4 of the 52 cards are queens on each draw: (4/52)*(4/52)

Step-by-step explanation:

correct me if. wrong

Suppose you budgeted $2800 for fuel expenses for the year. How many miles could you drive if gas were $2.70 per gallon and your vehicle averaged 28 mi/gal?

Answers

Answer:

29037.036 miles

Step-by-step explanation

There are two possible ways to solve this problem.

The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.

2800/2.70 = 1037.037

This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.

1037.037 x 28 = 29037.036 gallons

The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.

For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.

Set it up like this:

[tex]2800 dollars * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon} = 29037.036 miles[/tex]

This allows the equation to be more organized, and you can check your work by canceling the units.

Hope this helps.

3x + 5

it should be equal to 65 i just need to know how to do it

Answers

Answer:
x = 20

Step-by-step explanation:

to make 3x + 5 = 65, first you can subtract 5 from 65, then divide. 60/3, which equals 20, so x = 20

Please help asap! :)

Answers

Answer:

x= 11.57017697

x= 41.2

x=16.50849765

Step-by-step explanation:

sin40=x/18

=> x= sin40 *18

tan x = 14/16

=> x= 41.2

cos 32 = 14/x

=> x= 14/ cos32

Which number is a common multiple of 3 and 4?
A) 8
B) 14
C) 32
D) 48

Answers

Answer:

LCM of 3 and 4 is 12

Step-by-step explanation:

This is your answer

Answer:

The answer is D.

Step-by-step explanation:

To find the common multiple you would divide each answer choice by both numbers & if the are whole numbers then there is your answer. If it is a number with a decimal somewhere then that is not the answer.

Fill in the missing term on each line. Simplify any fractions.
4t + 11 = 19
4t =
Subtract 11 from both sides
t =
Divide both sides by 4

Answers

Answer:

Step-by-step explanation:

4t + 11 = 19

Subtract 11 from both sides

4t = 19 - 11

4t = 8

Divide both sides by 4

t = 8/4

t = 2

Find the exact value or type
"undefined"
tan(-315)
[?]

Answers

Answer:

the exact value of tan(-315) is 1

Answer:

The tangent of -315 is opp/adj = 1/1 = 1

Step-by-step explanation:

The angle -315 is in the 1st quadrant, in which we see a 45-45-90 triangle.  Thus, this triangle has 'opposite side' = 1, 'adjacent side' = 1, and hypotenuse √2.  The tangent of -315 is thus opp/adj = 1/1 = 1

please someone help me! I’m not accepting any links or files.
:)

Answers

Answer:

400

Step-by-step explanation:

48 is 12% of x

12/100 = 48/x

3/25 = 48/x

1/25 = 16/x

x = 25 × 16

x = 400

Answer: 400

Answer:

400

Step-by-step explanation:

(48 x 100) / 12 = 400

Figure ABCD is a parallelogram.

Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.

What is the perimeter of ABCD?

14 units
38 units
44 units
49 units

Answers

Answer: 44 units

Step-by-step explanation:

Opposite sides of a parallelogram are equal, hence sides

AB = DC

4y-2 = 2y+6

2y=8

y=4

and

BC = AD

2x+2=3x-1

x=3

AB = 4Y-2

y=4

AB=14

BC=2x+2

x=3

BC=8

Perimeter = 2 X (AB + BC)

= 2 X (14+8)

= 44

Answer:

44 units

Step-by-step explanation:

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