If e^xy-y^2=e-4,
then at x=1/2 and y=2,
dy/dx=?

Answers

Answer 1

Answer:

If  [tex]e^{x\cdot y}-y^{2} = e-4[/tex], then at  [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], [tex]\frac{dy}{dx} \approx 2.059[/tex].

Step-by-step explanation:

Let [tex]e^{x\cdot y}-y^{2} = e-4[/tex]. At first we determine the first derivative of the function by implicit differentiation:

[tex]e^{x\cdot y}\cdot \left(y+x\cdot \frac{dy}{dx} \right)-2\cdot y \cdot \frac{dy}{dx} = 0[/tex]

[tex]y\cdot e^{x\cdot y}+x\cdot e^{x\cdot y}\cdot \frac{dy}{dx} -2\cdot y\cdot \frac{dy}{dx} = 0[/tex]

[tex]y\cdot e^{x\cdot y}= (2\cdot y -x\cdot e^{x\cdot y})\cdot \frac{dy}{dx}[/tex]

[tex]\frac{dy}{dx} = \frac{y\cdot e^{x\cdot y}}{2\cdot y - x\cdot e^{x\cdot y}}[/tex]

If we know that [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], then the computed value of the function is:

[tex]\frac{dy}{dx} = \frac{(2)\cdot e^{\left(\frac{1}{2} \right)\cdot (2)}}{2\cdot (2)-\left(\frac{1}{2} \right)\cdot e^{\left(\frac{1}{2} \right)\cdot (2)}}[/tex]

[tex]\frac{dy}{dx} \approx 2.059[/tex]

If  [tex]e^{x\cdot y}-y^{2} = e-4[/tex], then at  [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], [tex]\frac{dy}{dx} \approx 2.059[/tex].


Related Questions

Please help me guys I beg you

Answers

Answer:

A. The amount of water in the fountain decreases 3 cm each day from a starting depth of 24 cm

Step-by-step explanation:

It starts at 24 cm, we know that, so we can cross out B and D

We know the amount of water is decreasing so we can cross out C.

That leaves A as your answer :)

Hope this helps :)

Please consider Brainliest :)

A rectangular garden is divided into four sections. some dimensions are shown in the diagram, and the distance from point A to point C is 16ft. what is the distance from point A to point B in feet?

Answers

Did you find the answers it’s been 4 days ?

Answer:

Step-by-step explanation:

Its7

round 5.336 to the nearest tenth

Answers

Answer:

5.3

Step-by-step explanation:

5 or more raise the score 4 or less let it rest.

3 lets 3 rest so 5.336 rounds down to 5.3.

Answer:

5.3 is 5.336 rounded to the nearest tenth.

Step-by-step explanation:

I find it kind of hard to explain it, but hopefully this helps you!

HELP MEEEE
Which of the three following graphs display the same data?
County Voter Turnout
(thousands)
County Voter Turnout
(thousands)
110
107
110
103
99
100
97
98
105
1.
II.
90
100
80
70
95
1992 1996 2000 2004 2008
1992 1996 2000 2004 2008
County Voter Turnout
(thousands)
Cuvanog
County

Answers

Answer:

Step-by-step explanation:

I cant see the third but I know the first and second are the same

The bar graph and the line graph display the same data.

What is a bar graph?

A bar graph is a type of chart that displays data as a series of bars or columns, with each bar representing a category or group and the height or length of the bar corresponding to the value or frequency of the data.

We have,

We see that,

Bar graph:

Year    Voters turnout

1992       99

1996       107

2000      103

2004       97

2008       98

Line graph:

Year    Voters turnout

1992       99

1996       107

2000      103

2004       97

2008       98

Now,

This means that the bar graph and the line graph are the same.

Thus,

The bar graph and the line graph display the same data.

Learn more about bar graphs here:

https://brainly.com/question/31158676

#SPJ5

Slope = 1, y-intercept = -2
please show work

Answers

Answer:

The slope intercept form would be y=x-2

Step-by-step explanation:

The slope intercept form is y=mx+b. In this case, y and x are undefined, so you keep them as variables.

The variable m stands for the slope, and you multiply it with x. Since it is 1, and one times anything keeps the number the same, you can keep the 1 out. now we have y=x+b.

The y-intercept us -2, so we replace that with b. y=x+(-2). Since adding a negative is the same as subtracting, we can change the operation.

So, you end up with y=x-2.

Hope I helped!!!

The balance scale shows the equation 2x + 3 = 2y + 5.
Which equation can be used to calculate x?
x = y + 2
x=y-2
x = y + 1
x = y -1

Answers

2x + 3 = 2y + 5, solve for x

2x = 2y + 2

x = y + 1

i need the question and help understand. i got the y=2x+ part but other than that i don’t know what to but after the +!! i need help

Answers

Answer:

 y = 2x - 2

Step-by-step explanation:

Slope-intercept form is y = mx + b

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )  

(1, 0)

(2, 2)

(3, 4)

(4, 6)

m = [tex]\frac{2-0}{2-1}[/tex] = 2

y = 2( x - 1 )

y = 2x - 2

7h + 3 = 7(2=h) -11
this is my question what is the answer???

Answers

Answer:

7h+3=-11?

then h=-11-3 divided by 7

Step-by-step explanation:

If you ment 7h+3=7(2-h)-11 then:
7h+3=14-7h-11
7h+3=-7h+3
Then put the like terms together:
7h+7h=3-3
14h=0
H=-14
(I hope this helped!)

A speed skater completers a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compair? Find the number of meters a speed skater and a cheetah travel in one second.

A speed skater travels ___ meters per second.
A cheetah travels ___ meters per second.

Answers

Answer:

A speed skater travels 12.5 meters per second

A cheetah travels 26 meters per second

Step-by-step explanation:

To find their speeds, divide the number of meters by the number of seconds:

Speed skater:

500/40

= 12.5 meters per second

Cheetah:

260/10

= 26 meters per second

So, a speed skater travels 12.5 meters per second and a cheetah travels 26 meters per second.

118 {121÷(11×11)-(-4)-(3-7)}​

Answers

Question:

To Simplify:

118 {121÷(11×11)-(-4)-(3-7)}

Solution:

↠118 {121÷121+4-(-4)}

↠118 {1+4+4}

↠118 {5+4}

↠118{9}

↠118×9

↠1062

▬▬▬▬▬▬▬▬▬▬▬▬

The upper Solution is done by applying BODMAS

About BODMAS:

B→ Bracket

O→ Of

D→ Division

M→ Multiplication

A→ Addition

S→ Subtraction

Answer:

1062

Step-by-step explanation:

First do what’s in the parentheses, then start solving it by doing what’s on the far left that still is in the brackets after solving everything in the bracket multiply it by 118

Mutiply. Express your answer in simplest form. 5/8 x 24 || A. 18 B.5/193 C.15 D.1/3

Answers

answer 15

Step-by-step explanation:

5/8×24

5×3

=15

Answer:

The answer is the second option; letter B which is 15.

Step-by-step explanation:

1. Reduce the numbers. Reduce the numbers with the greatest common factor 8.

5/8×24 to 5×3

2. Multiply. Multiply the numbers.

5×3 to 15

3. Final simplified answer.

15

Hope this helps and if you could mark me as brainliest. Thanks!

Decrease £40 by 70%


please help! :)

Answers

Answer:

£12

Step-by-step explanation:

w(x)=-3x-4; find w(7)

Answers

-25=w(7) or Could bew=-25/7
answer: w(x) = -25

explanation: -3(7) = -21 and -21 - 4 = -25

Find the measures of the numbered angles.


Answers

Answer:

< 1. = 75

< 2. = 105

< 3. = 105

< 4. = 75

< 5. = 75 (given)

< 6. = 105

< 7. = 105

< 8. = 75

What is the reason for step 3 of this proof?

Answers

Answer: D

Explanation:

It should be vertical angles theorem

Answer:

Vertical Angles Theorem

Step-by-step explanation:

6 There are 10 lanes in the bowling alley where Harold bowls. He wants to make a

scale drawing of the bowling alley using a scale of 3 cm to 15 ft. One lane,

including gutters, is 60 ft long and 5 ft wide. What will the width of all 10 lanes on

his drawing be?

Answers

Answer:

The width of 10 lanes would be a total of  10 centimeters , 1 cm for each lane on his drawing.

Step-by-step explanation:

The scale he uses is

15 ft= 3 cm

1 feet = 3/15 cm

1 cm= 15ft/3= 5 ft

One lane = 60 ft long and 5 ft wide

In centimeters it would be 60 ft / 5ft = 12 cm long and 5 ft/5ft= 1 cm wide

The width of 1 lane is 1 cm .

The width of 10 lanes would be a total of  10 centimeters , 1 cm for each lane on his drawing.

What the right answer

Answers

Answer:

A for the first one and c for the second

Step-by-step explanation:

sus

Answer:

a i think

Step-by-step explanation:

Find the product
(4x-5)(4x-1)

Answers

Answer:

80

Step-by-step explanation:

(4x-5)(4x-1) = 80

Answer:

16x² - 24x + 5

Step-by-step explanation:

Given

(4x - 5)(4x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(4x - 1) - 5(4x - 1) ← distribute both parenthesis

= 16x² - 4x - 20x + 5 ← collect like terms

= 16x² - 24x + 5

solve 3|x + 7| = −12

Answers

Answer:

no solution

Step-by-step explanation:

since the left-hand side is always positive or 0, and the right-hand side is always negative, the statement is false for any value of x.  

please help will give brainliest

Answers

Answer:

16π = 50.27

Step-by-step explanation:

First lets find the area of both triangles

A = πr²

Smaller Area:

A = πr²

A = π 3²

A = π9

A = 9π

Larger Area:

A = πr²

A = π(5)²

A = π25

A = 25π

Now subtract the smaller from the larger to get the shaded left over

25π - 9π = 16π

Hope this helps :)

2. At target Carla bought a dress(d) and a backpack(b) for a total cost of $54.
If the price of the backpack(b) is $6 more than 2 times the price of the dress.
How much did the backpack(b) cost?

Answers

Answer:

123

Step-by-step explanation:Im pretty sure u have to add some part of it

f(x) = 3x2-2x +1, evaluate:

Answers

f(x)=3x^2 - 2x +1
f(-1)=3(-1)^2-2(-1)+1
f(-1)=3( 1 ) +2+1
f(-1)=3+3
f(-1)=6

A furniture store sells a sofa for $50 more than twice the amount it costs the store. If the store sells the sofa for $750. how much did the store pay for the sola?

A) $325 B) $400 C) $350 D) $1,450​

Answers

Answer: 350

Step-by-step explanation: So they are selling the sofa for 50 more than what they bought times 2, so to get that you subtract 750-50. Then to find the two times you divide 700 by 2. Hope this helps!

Liam does 165 sit-ups every day. How many sit-ups does he do in 7 days?

Answers

Answer:

1155

Step-by-step explanation:

165 X 7 = 1155

Answer: If Liam did 165 sit-ups a day, he would do 1155 sit-ups every week

Step-by-step explanation:

Nada hiked down a canyon and stopped each time she descended 1/2 mile to rest. She hiked a total of 4 sections. What is her overall change in elevation?

Answers

Answer:

She descended 2 miles

Step-by-step explanation:

Plz answer right! thnx for the help! ;)

Answers

25 - (5+9)

= 25 - 14

= 11

Hope this will help...

Please mark as brainliest...

Answer:

11

Step-by-step explanation:

Use the correct order of operations, and do what is in the parentheses first.

25 - (5 + 9) = 25 - 14 = 11

What is the cost of six pairs of socks if eight pairs of socks cost $39.92?

Answers

Answer:

$29.94

Step-by-step explanation:

One pair of socks costs:

$39.92/8

= $4.99

Six pairs of socks costs

$4.99*6

=$29.94

PLS GIVE BRAINLIEST

Answer:

39.92 ÷ 8 x 6

Step-by-step explanation:

Please tell me what the value of x would be (it has to be a fraction)

Answers

X=1/6? Not too sure though

HURRY!
If is the lesser number in an inequality, which statement is true about the other number in the inequality?
A.
The other number is located to the left of on the horizontal number line.
B.
The other number is located above on the vertical number line.
C.
On the horizontal number line, is located to the right of the other number.
D.
On the vertical number line, is located above the other number.

Answers

Answer:

the answer is a

Step-by-step explanation:

Answer: The correct answer is C.

Step-by-step explanation: I had the question.

harks
14/21 Marks
ook at the two rectangles on the centimetre square grid.
А
Which rectangle (A or B) has the larger area? A
Explain how you know. Answer please. Answer the Explain how you know bit.​

Answers

Step-by-step explanation:

multiply by 64 and then subtract by 47

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