if e^xy−y^2=e−4, then at x = 1/2 and y = 2, dy/dx =

Answers

Answer 1

Answer:

dy/dx = -0.5285

Step-by-step explanation:

e^(xy) − y² = e^(−4)

To get dy/dx, we will differentiate with respect to x applying both chain rule and product rule.

Thus;

e^(xy)[d(xy)/dx] - (d/dx)y² = 0

e^(xy)[x(dy/dx) + y] - ((dy/dx) × (d(y²)/dy)) = 0

xe^(xy)[dy/dx] + ye^(xy) - 2y = 0

Thus, rearranging we have;

dy/dx = [2y -(ye^(xy))]/xe^(xy)

We are given;

x = 1/2 and y = 2

Thus;

dy/dx = [2(2) - (2e^(½ × 2))]/(1e^(½ × 2))

dy/dx = (4 - 5.4366)/2.7183

dy/dx = -0.5285


Related Questions

Sarah and 2 friends go out to eat to a restaurant. Their bill is $89.50. In addition to the bill, they are going to leave a 20% tip and pay 5% in
taxes. If they decide to split the bill, how much will each person pay?
Blank 1:

Answers

Answer:

$111.87

Step-by-step explanation:

so you are going to divide this bill between two people. first you are going to divide 89.50 and divide it by 100. the answer you get you will multiply that by 20. that will be the tip they give so add that to 89.50. for the taxes you do the same but instead of multiplying by 20 you will multiply by 5. you are going to have to add that all up and then divide by 3.

Answer:

$111.87

Step-by-step explanation:

zach wants to know his weigh in lbs. If 1 kg = 2.2 lbs and he currently weighs 57 kg, how much does he weigh in lbs?

Answers

Answer:

125.4

Step-by-step explanation:

57 x 2.2 = 125.4

Answer:

Zack will weigh 125

Step-by-step explanation:

What is 57 kg in pounds? 57 kg is equal to 125.66 pounds. 57 kg to lbs to convert 57 kilograms to pounds and find out how many pounds is 57 kg. To convert 57 kg to lbs, multiply 57 by 2.205.

Hope this Helps (✿◡‿◡)

P.S If you want the exact number it is 125.663.

10 CDs costs $2.30. A package of 50 CDs costs $10.50. Which is the better buy?

Answers

To get the answer to this question we would have to calculate how much each DVD costs in each scenario.

To do this we will divide each cost by the total number of CDS:

[tex]\frac{2.30}{10} = .23[/tex]

[tex]\frac{10.50}{50} = .21[/tex]

For the pack of 10 CDS each CD costs 23 cents. On the contrary, for the pack of 50 CDs each CD costs 21 cents. Therefore to get a better deal, you would want to go with the 50 CDs.

Hope this helps!

- Kay

The cost per CD is lower when buying the package of 50 CDs, it is the better buy. You would save money by purchasing the package of 50 CDs for $10.50.

To determine which is the better buy, we need to compare the cost per CD in both scenarios.

Let's first calculate the cost per CD when buying 10 CDs:

Cost for 10 CDs = $2.30

Cost per CD = $2.30 / 10 CDs = $0.23 per CD

Now, let's calculate the cost per CD when buying a package of 50 CDs:

Cost for 50 CDs = $10.50

Cost per CD = $10.50 / 50 CDs = $0.21 per CD

Comparing the two options:

- Buying 10 CDs individually costs $0.23 per CD.

- Buying a package of 50 CDs costs $0.21 per CD.

To know more about cost per CD :

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Write an addition expression with one positive and one negative number that has a sum of 3.

Answers

Answer:

4 + (-1) = 3

Step-by-step explanation:

4 + (-1) = 3

Hope it helps you in your learning process

Answer:

-1 + 4 =3

Step-by-step explanation:

In my town, gas prices are always listed to the thousandths place. Since the smallest coin we have is the penny, we have to round them to the hundredths place. If the price of gas is $8.162, what will the price be when we round it to the hundredths place?

Answers

I believe the answer is $1.16 but sorry if this is wrong!

5 pounds of apples cost $12. How many pounds of apples can you buy for $1.

Answers

Answer:

5/12 or 0.41666667 pound

Step-by-step explanation:

Set up the equation as 5/12=x/1 and cross multiply. Then you will get 12x=5. Divide both sides by 12 and then you will get 5/12.

Answer:

5/12 of a pound or 0.42 pounds

Step-by-step explanation:

$1 is 12 times less than $12. So, if the amount of money is divided by 12, than the amount of apples you can buy is also divided by 12:

5/12 = 0.42

You can buy 5/12 of a pound or approximately 0.42 pounds of apples for $1.

WILL MARK BRAINLIEST! HELP ASAP!!!!

Answers

Can you explain what exactly you need to do because I know how to do this but I need more context

What is the slope of the line y+3=2(x-2) PLEASE SHOW WORK​

Answers

Answer:

2

Step-by-step explanation:

Put the equation into y = mx + b form, where m is the slope of the line

Distribute 2 to the parentheses:

y + 3 = 2(x - 2)

y + 3 = 2x - 4

Subtract 3 from both sides:

y = 2x - 7

So, the slope is 2.

GIVING BRAINLEST PLSS HELP MEEEEEEEEEEEE

Answers

Answer:

b is correct

hope that helped if yes give me brainliest and if no draw my attention by hitting the comment section

Answer:

b

Step-by-step explanation:

How do you do system of equation word problems?

Answers

Answer:

Step 1: Isolate a variable. The variable y is already isolated in the first equation.

Step 2: Plug the result of Step 1 into the other equation and solve for one variable. Plug.

Step 3: Plug the result of Step 2 into one of the original equations and solve for the other variable.

Step 4: State the solution.

Step-by-step explanation:

Can someone plz help

Answers

Answer:

its an acute angle

Step-by-step explanation:

so whats the answer someone get the answer for this guy

Answer:

x = 15

Step-by-step explanation:

For the lines to be parallel , then

∠ MYX = ∠ PXW  = 11x - 25 ( corresponding angles ) , so

∠ ∠ MYX = ∠ ZYN ( vertical angles ) , substitute values

11x - 25 = 7x + 35 ( subtract 7x from both sides )

4x - 25 = 35 ( add 25 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Is 50x=410 proportional?

Answers

Answer:

no

Step-by-step explanation:

it is not proportional


Marissa sees a flying saucer. The diameter of the flying saucer is 13
feet.
What is the area of the flying saucer

Answers

Answer:

132.73228961417

Step-by-step explanation:

area = pi/4 * diameter^2(squared)

Estimate the following product in scientific notation, and then select the best answer for the product’s power of 10.


2.7
14
15
27

Answers

..........15 I think ,.....

Answer:

15

Step-by-step explanation:

Sarah rides her bike three days a week. She rides for 10 minutes a day. How many minutes does Sarah spend riding her bike after two weeks?

Answers

Answer:

1 hour after 2 weeks

Step-by-step explanation:

She rides 3 days a week, and 10 minutes a day. Multiplying 3 and 10 gets you 30 minutes a week. Over a 2 week period, that is 60 minutes (1 hour)

Answer:

140 mins

Step-by-step explanation:

add 70+20

Leda makes 73 oatmeal muffins for a bake sale. She accidentally drops five of them and throws them away. She puts as many of the remaining muffins as possible into 13 containers so that each container has the same number of muffins. How many of the remaining muffins does Ieda have left over?

Answers

Answer:

She would have 5 muffins left over

Step-by-step explanation:

Do 73-3, because she dropped 3 and threw them awayTake 70 and divide it by 13, there are 70 muffins and 13 containers (I used a calculator)Then you get a decimal (if you use a calculator), look at the whole number which should be 5Next, you multiply 5 by 13, this will allow you to find what you would 'add into' a normal division problem (if you were to do it on paper)Lastly, take 70 and subtract what you got for step for (it should be 65, so the equation would be 70-65)

can someone help me with this :( , it’s similar triangles btw

Answers

HOPE THIS HELPS YOU

I KNOW THAT THESE TRIANGLES ARE SIMILAR BY THE WAY...

Answer:

The triangles are propotional

Step-by-step explanation:

FH = 45 = 5

BC 27 3

GH = 22.5 = 5

BD 13.5 3

GF = 30 = 10 = 5

CD 18 6 3


Find the slope: f(-2) = 3 and f(3) = -4*

Answers

Answer:

It's -7/5

Step-by-step explanation:

use rise(change in x) over run(change in y)

Answer:

-7/5

Step-by-step explanation:

work is in the picture

please helpp:((((((.....

Answers

Answer:

False or it would be 1/2 = 7/14

Step-by-step explanation:

Which of the following values are solutions to the inequality −4≥5x−3?

Answers

Answer:

X[tex]\leq[/tex] -1/5

Step-by-step explanation:

I hope it helps


Is the line through points P(2. - 7) and Q(5, 5) parallel to the line through points R(5, 5) and S(4.1)? Explain.

Answers

Answer:

Yes they are parellel

Step-by-step explanation:

Find the slope of both

5- -7 / 5 - 2 = slope of 4

1 - 5 / 4 - 5  = slope of 4

What is the Rise Run and Slope

Answers

Answer:

Rise = 2

Run = 1

Slope = 2

Step-by-step explanation:

To find the rise you look at how much the line rises, so you can see it rises 2 after going over 1. So now we know the rise is 2 and the run is 1, because we used 1 as the run to find the rise.

The slope is found by dividing the run from the rise

[tex] \frac{rise}{run} [/tex]

So the slope is 2.

How many repeating digits are in 0 536?

Answers

Are there any repeating digits? There isn’t. Remember, on a device make sure you put 3 dots next to a decimal to show it’s repeating.

Answer:

the answer is 3

Step-by-step explanation:

edge 2020

Use the scatter plot to fill in the missing coordinate of the ordered pair. I NEED HELLLLP plz

Answers

Answer:

16,6

Step-by-step explanation:

The missing coordinate is (16, 6)

What is Box- plot?

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary. A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.

Given:

From the given box- plot the coordinates are

(2, 18)

(3, 15)

(5, 16)

(7, 11)

(8, 17)

(10, 11)

(11, 7)

(13, 10)

(15, 3)

(16, 6)

Hence, the missing coordinate is (16, 6)

Learn more about box plot here:

https://brainly.com/question/1523909

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Please what is this I need help

Answers

Answer:

It is B

Step-by-step explanation:

Identify a point of the line. y-1=3(x+6)
(Sorry there is no graph)

Answers

skip: -1/3 y-intercept: (0,6)
y-1=3(x+6)

Use distributive property

y-1=3x+3(6)

y-1=3x+18

Add 1 to both sides

y=3x+19

Then plug in 1 for x to obtain

y=3(1)+19

Solve for y by doing simple arithmetic

y=3+19

y=22

So a point on the line would be (1,22)

Hope this helps PLEASE MARK AS BRAINLIEST

The first team to solve the puzzle AND explain how they solved it will receive the point. Six people, whose names are Fred Alberts, Larry Smith, Brian Martin, Marty Jones, Bill Edison, and John Fox were in an elevator together. No two suspects have the same weight, color shoes, color umbrella, color car, or hair color. The suspect who owns a purple car was wearing tan shoes. The suspect who weighs 180 pounds owns a green car. Brian Martin owns a green car. The suspect who owns a black car was wearing blue shoes. The suspect who weighs 150 pounds was wearing tan shoes. Marty Jones was carrying a purple umbrella. John Fox has red hair. Larry Smith weighs 210 pounds. The suspect who weighs 190 pounds was wearing blue shoes. The suspect who was carrying a red umbrella is not the one who was wearing black shoes. The thief owns a black car. The suspect who owns a white car is not the one who weighs 170 pounds

Answers

Full Question:

Puzzle Details

Elevator Mishap

Six people, whose names are Fred Alberts, Larry Smith, Brian Martin, Marty Jones, Bill Edison, and John Fox were in an elevator together.

Suddenly, the lights went out. When the lights came back on, Fred Alberts' wallet was missing.

Detectives have investigated. They have questioned the suspects, the witnesses, and people who know the suspects. They have collected physical evidence (hair samples, fibre samples, etc.) from the crime scene. They have collected 14 clues, but have not been able to solve the crime.

Therefore, they have called in the world's greatest detective, YOU. You must now examine the clues and solve the crime.

No two suspects have the same weight, colour shoes, colour umbrella, colour car, or hair colour.

The suspect who owns a purple car was wearing tan shoes.

The suspect who weighs 180 pounds owns a green car.

Brian Martin owns a green car.

The suspect who owns a black car was wearing blue shoes.

The suspect who weighs 150 pounds was wearing tan shoes.

Marty Jones was carrying a purple umbrella.

John Fox has red hair.

Larry Smith weighs 210 pounds.

The suspect who weighs 190 pounds was wearing blue shoes.

The suspect who was carrying a red umbrella is not the one who was wearing black shoes.

The thief owns a black car.

The suspect who owns a white car is not the one who weighs 170 pounds.

Bill Edison was wearing brown shoes.

The suspect who weighs 190 pounds is not the one who has red hair.

Answer:

Marty Jones

Explanation:

Given that no two suspects have the same weight, colour shoes, colour umbrella, colour car, or hair colour.

There are six people in the elevator including Fred Albert. Fred Albert was the one whose wallet was stolen and so our suspects are the other five people in the elevator.

We know that the thief owns a black car and he was wearing blue shoes

( since the suspect who owns a black car was wearing blue shoes). The thief also weighs 190 pounds( since the suspect who weighs 190 pounds was wearing blue shoes)

Brian Martin has a green car so he is cancelled out

John Fox has red hair and is cancelled out(since the suspect who weighs 190 pounds is not the one who has red hair)

Bill Edison was wearing brown shoes so he is cancelled out(since thief was wearing blue shoes)

Larry Smith weighs 210 pounds and he is cancelled out( since thief weighs 190 pounds)

We are left with one suspect remaining Marty Jones, hence he is the thief

Dominic wants to test if one of two types of fertilizer (a standard fertilizer and a new product) is better for producing melons of equal weight after a three-month fertilization program. Dominic has two identical land plots (1 and 2) and is considering how to assign 30 melon plants, each of which has a numbered tag, to the fertilizer. What is the best way to do this as a matched-pairs design?
A. Put all the odd-numbered melons in plot 1 and the even-numbered melons in plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
B. Assign the melons completely at random to the two plots using a coin flip, heads meaning plot 1 and tails meaning plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
C. Obtain pairs of melon plants whose seedling heights are roughly equal at the start of the experiment and randomly assign one of the pair to plot 1 and the other to plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
D. Obtain pairs of melon plants whose seedling heights are roughly equal at the start of the experiment and put the taller of each pair into plot 2. Then give the standard fertilizer to plot 1 and the new product to plot 2.
E. Divide the 30 melon plants into two groups, with the 15 tallest seedlings in one group. Randomly choose which plot to assign the tallest plants and assign the smallest plants to the other plot. Then give the standard fertilizer to plot 1 and the new product to plot 2.

Answers

Answer:

C

Step-by-step explanation:

A. is wrong because having a different height for each seedling and not trying to keep it equal is simply worse than making sure the heights are identical.

B. Completely wrong because it would likely result in 1 plot having more melon seedlings than the other.

C. Correct because it makes sure the seedlings are the same height at the beginning of the experiment, allowing less randomness in the experiment.

D. Putting the taller of a each pair for 1 plot makes it the experiment rigged in favor of the plot with taller seedlings

E. Same issue as D.

I’m stuck and I would really like your help.

Answers

Answer:

Answer: 1/12

Step-by-step explanation:

2/5x-4=8-3/5x.

We want to tank x out of the denominator by multiplying x on both sides.

2/5-4x=8x-3/5

Now we simplify

-12x=-1

x=1/12

Put x in the equation to check it

Answer:

x= 12

Step-by-step explanation:

2x-20=40-3x  multiply both sides of the equation by 5

2x+3x= 40+20 move the terms

5x= 40+20 collect like terms

5x = 60 add the numbers

5x= 60 divide both sides by 5

x=12

Which of the following is NOT a true bi-conditional statement?
A It is noon if and only if it is 12:00 PM.
B Two segments are congruent if and only if they have the same length.
C An angle is right if and only if its measure is 90°.
D I am a violinist if and only if I am a musician.

Answers

d

because your a musician you cant be a true statement I am wrong

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