Show that y2+ x-3 =0 is an implicit solution to dy/dx =-1/ (2y) on the interval (- [infinity] , 3)

Answers

Answer 1

Answer:

Implicit function

[tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]

Step-by-step explanation:

Explanation:-

Given  y² + x - 3=0 ...(i)

Differentiating equation (i) with respective to 'x', we get

                   [tex]2 y \frac{d y}{d x} +1 = 0[/tex]

           ⇒     [tex]2 y \frac{d y}{d x} = -1[/tex]

           ⇒     [tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]

                 [tex]\frac{d y}{d x} = \frac{-1}{2 (3)}[/tex]

                 [tex]\frac{d y}{d x} = \frac{-1}{6}[/tex]

 


Related Questions

Please do these no fake stuff please. Click in the paperclip to see problems.

Answers

a. 1.9a+1.9b+1.9c
Explanation:
1. Distribute the 1.9 to all of the variables in the parentheses.
b. 585.2 pounds
Explanation:
1. Substitute all the given variables in the formula - 1.9(132+91+85)
2. Add the numbers in the parentheses together 1.9(308)
Multiply 1.9 by 308 to get 585.2

Circle A and Circle B are congruent circles. Which statement must be true?
a. Circle A and Circle B have the same center.
b. The radii of Circle A and Circle B have the same length.
c. Circle A and Circle B have exactly two points in common.
d. Circle A and Circle B touch at one point.

Answers

Answer:

B

Step-by-step explanation:

congruent mean the same, therefore the circles must be the same since they  are congruent.

Answer:

B. The radii of Circle A and Circle B have the same length.

Step-by-step explanation:

The radii, diameter, and circumference would be the same length for two circles that are congruent, therefore, the answer is B.

After building your factor tree, what is the simplified form of \sqrt{36}?

Answers

√36 indicates the principal (or positive) square root so √36=6 .

The square root of √36 is 6.

Hope this helps ! <3

Need some help on my homework asap

Answers

Answer:

see below

Step-by-step explanation:

4y - 9 - 13y

Combine like terms

4y-13y-9

-9y -9

2 + 4u - 7 +3u + 10 -12u

Combine like terms

4u+3u-12u+2-7+10

-5u+5

16j +8-9j -4-7j

Combine like terms

16j-9j-7j+8-4

0j +4

4

Kitty moves 6 boxes to his bedroom in 2 minutes, how many boxes he moves in 3 minutes?

Answers

Answer:

9

Step-by-step explanation:

6 dived by 2 is 3 so like 3 times 3 is 9 lol

Answer:

9 boxes

Step-by-step explanation:

If he moves six boxes every two minutes just divide those and you get three boxes per minute. Then you multiply 3 minutes with 3 boxes and get 9

i really need you
guys helppp pleaseee

Answers

Hey there! I'm happy to help!

Angles A and B are alternate exterior angles: they are on the outside of the parallel lines and opposite sides of the transversal. This means that they are congruent. So, we can set up an equation.

6x-2=4x+48

We subtract 4x from both sides.

2x-2=48

We add 2 to both sides.

2x=50

Divide both sides by 2.

x=25.

Have a wonderful day! :D

Answer:

x = 25

∠A = 148  

Step-by-step explanation:

opposite exterior angle ∠A = ∠B

where

∠A = 6x - 2°

∠B = 4x + 48°

6x - 2° = 4x + 48°

6x - 4x = 48° + 2°

2x = 50°

x = 50°/2

x = 25

plugin x intoA = 6x - 2°        

A = 6(25) - 2°                          

∠A = 148                                    

-2a - 5 > 3 Solution as a graph

Answers

MY NAME IS JEFFFFFFFFFFFF

joe mama is the answer

WILL GIVE BRAINIEST
NEED HELP ASAP
DUE IN 10 MINS

Answers

Answer:

Scientist B

Step-by-step explanation:

1 kg = 2.2 lbs

1L = 2.11 pints

So let's convert Scientist B's data.

3.0lbs salt = 3.0/2.2 = 1.36kg

6 pints water = 6/2.11 = 2.84L water

Scientist A

1kg salt

3.0L water

We now figure out the concentration of salt in water.

Scientist A Scientist B

1kg/3.0L = .33kg/L 1.36kg/2.84L = .48kg/L

So scientist B had a more concentrated solution.

Answer:

yes

Step-by-step explanation:

        erfds

Given the following proportion, find x

3/7 = 6/x

Answers

Answer:

x = 14

Step-by-step explanation:

3/7 = 6/x

3(x) = 6(7)

3x = 42

x = 14

Answer:

3/7 = 6/x

3x = 6*7

3x = 42

x = 42/3

x = 14

I hope you can know this answer...

How many solutions are there to the equation below?
4(x - 5) = 3x + 7

A. O
B. Infinitely many
C. 1

Answers

This is my work I’m pretty sure it’s C

what is 4 + 4 PLZ HELP MEE

Answers

Answer:

4 +4 = 8

Step-by-step explanation:

4+4=8

8 is the answer

Answer:

8

Step-by-step explanation:

1 + 1 + 1 + 1 = 4

1 + 1 + 1 +1 = 4

4 + 4 = 8

Please help!!! I.m confused with the problem

Answers

Answer:

C

Step-by-step explanation:

Make the equation from the blocks:

-7x + 7 = 5x + 16

Then simplify:

Subract 7 from both sides:

-7x = 5x + 9

Add 7x:

0 = 12x + 9

Subtract 9:

-9 = 12x

x = -9/12 = -3/4

2 1/4 + 2 1/4+ 2 3/4+ 2 3/4 +2 3/4=

Answers

Answer:

12.75

Brainiest pweez :P

The answer of 2 1/4 + 2 1/4+ 2 3/4+ 2 3/4 +2 3/4=

12.75

Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?

Answers

Answer:

3

Step-by-step explanation:

How do you find the magnitude and positive direction angle of the vector
v = 6i − 6j?

Answers

Answer:

Step-by-step explanation:

Given the vector v = 6i-6j, the magnitude is expressed as shown;

|v| = √6²+(-6)²

|v| = √36+36

|v| = √72

|v| = √2×36

|v| = √36×√2

|v| = 6√2

The modulus of the vector is 6√2

To get the direction, we will use the formula;

(theta) = tan^-1(y/x)

(theta) = tan^-1(-6/6)

(theta) = tan^-1(-1)

(theta) = -45°

Since the angle is negative and tan theta is negative the in the second quadrant, the positive direction angle of the vector will be 180° - 45° = 135°

Barnika bought 100 eggs for Rs. 900. Out
of them. 8 were broken. She sold the remaining eggs
at the rate of Rs. 10.50 each. Find the profit or loss
percent.

Answers

Step-by-step explanation:

cost of an egg= 900/100= Rs.9

Total cost = 100×9=Rs.900

when 8 eggs broken, the eggs remained to sell is 92(100-8)

Total sales = 10.50×92=Rs.966

profit = total cost-total sales

profit =966-900= Rs.66

profit percentage =profit/total sales×100%

66/966×100%=6.832%

find the inverse (f^-1(x)) of the function f(x)=5+1/2x

Answers

Answer:

f^-1(x) = 2x - 10

Step-by-step explanation:

f(x) = 5 + 1/2 x

y = 5 + 1/2 x

x = 5 + 1/2 y

1/2 y = x - 5

y = 2x - 10

f^-1(x) = 2x - 10

a number rounded to the nearest hundred thousand is 400,000. The same number rounded to the nearest ten thousand is 350,000. What could the number be?

Answers

Answer:

360000

Step-by-step explanation:

Well, we know the number must be above 350,000 because it was rounded up to 400,000. In order for the number to round down to 350,000 the number would have to be between 350,000-354999. So, the number could be any number in between those two numbers.

For example: The number COULD be 351,000 but, that is not the only possible answer.

but the answer would be 360000.

Explain the meaning of the coefficient of determination in this problem Group of answer choices 97.60% of the variation in receipt per theater can be explained by the variation in Twitter activity 98.79% of the variation in receipt per theater can be explained by the variation in Twitter activity 97.60% of the variation in Twitter activity per theater can be explained by the variation in receipts 0.9879% of the variation in receipt per theater can be explained by the variation in Twitter activity

Answers

Answer:

97.60% of the variation in receipt per theater can be explained by the variation in Twitter activity

Step-by-step explanation:

The coefficient of determination can be computed from the data

Movie                Twitter Activity Receipts

The Devil Inside            219509 14763

The Dictator                        6405 5796

Paranormal Activity 3        165128 15829

The Hunger Games         579288 36871

Bridesmaids                        6564 8995

Red Tails                         11104 7477

Act of Valor                         9152 8054

Here twitter activity be the independent variable and Receipts be the response variable.

Using MS Excel for regression analysis

DATA>DATA ANALYSIS>REGRESSION

Selecting twitter activity as X variable and Receipts as Y variable. We get the following output

SUMMARY OUTPUT                

Regression Statistics        

Multiple R                0.987916601        

R Square                 0.97597921        

Adjusted R Square 0.971175052        

Standard Error         35967.08167        

Observations             7        

       

ANOVA        

                df SS                    MS              F                 Significance F  

Regression  1  2.62805E+11 2.62805E+11 203.1530224 3.06274E-05  

Residual         5 6468154818 1293630964      

Total       6 2.69273E+11      

       

            Coefficients Standard Error   t Stat       P-value

Intercept   -128751.8007 23384.79926  -5.505790293 0.002702573

Receipts     19.41414946 1.362092886  14.25317587        3.06274E-05

We can see that R Square=0.97597921, So the 97.6% of variation in Receipts is explained by its linear relationship with twitter activity or we can say that 97.60% of the variation in receipt per theater can be explained by the variation in Twitter activity.

Subtract. 8 1/2 - 2 2/3

Answers

Answer:

Mixed number: 5 5/6

Improper fraction: 35/6

Step-by-step explanation:

8 1/2 - 2 2/3

17/2 - 8/3

35/6

5 & 5/6

Hope this helps!

Plz name brainliest if possible!

There are 30 students in a class, including 16 boys. The ratio of girls to boys would be 7 over 8.

Answers

Answer:

i dont understand- theres 3 ways u can put them tho 7:8 , 7 to 8 , or 7/8

Step-by-step explanation:

The difference between nine and two

Answers

Answer:

7

Step-by-step explanation:

the difference is another way of saying subtraction so the subtraction of 9 and 2 which is obviously 7

sssssssssssssssssssssssssseven

Solve the inequality 2x ≥ 6

Answers

Answer:

I think the answer would be x = 3, 4, 5, 6 (Anything greater than 3)

The answer is: x ≥ 3

Step-by-step explanation:

I think this is the answer because:

1) Since the sign ≥ means equal to or less than, x has to equal 3 or greater.

2) This is because if x = 3 then, 2 x 3 equals to 6.  6 and 6 are equal. If x = 4 then, 2 x 4 would equal 8. 8 is greater than 6.

3) Since 2x has to be something equal to or greater than 6, x has to equal 3 or something greater than 3.

Hope this helps!

The solution of the inequality 2x ≥ 6 is greater than or equal to three.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The inequality is given as,

2x ≥ 6

Simplify the inequality, then the value of x will be

x ≥ 6/2

x ≥ 3

Thus, the value of the variable x is greater than or equal to three.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Observing in the histogram, frequency proportions, and normal probability plot based on the coin date data set below, we have a strong indication that the dates of the coins are: (NOTE: the answer choices assume that the x-axis is years, so newer coins would be to the right.)

Answers

Answer:

Skewed left.

Explanation:

When plotting all the points in a calculator, the graph is skewed to the left.

APEX

Which ratio expresses 2 minutes to 300 seconds in simplest form?

Answers

Answer:

1 to 150! hope that helps :)

In the graph above, what's the distance between (0, 2) and (5, 2)?

Answers

Answer:

where is the graph

Step-by-step explanation:

Answer:

The distance is 5

Step-by-step explanation:

Please help me with this question ASAP.

Answers

UW = 67

Explanation:

1. Find UV in terms of x.
6x - 35 - (4x - 20) = 2x - 15
2x - 15 = 19

2. Solve for x.
2x - 15 = 19
2x = 34
x = 17

3. Use the value of x to find UW.
UW = 19 + (4(17) - 20) = 67

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{67}}}}}[/tex]

Step-by-step explanation:

Given,

UV = 19

VW = 4x - 20

UW = 6x - 35

To find : value of UW

First, finding the value of x

Create an equation and solve for x

[tex] \sf{UV + VW = UW}[/tex]

[tex] \longrightarrow{ \sf{19 + 4x - 20 = 6x - 35}}[/tex]

[tex] \longrightarrow{ \sf{ - 1 + 4x = 6x - 35}}[/tex]

[tex] \longrightarrow{ \sf{4x - 6x = - 35 + 1}}[/tex]

[tex] \longrightarrow{ \sf{ - 2x = - 34}}[/tex]

[tex] \longrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ - 34}{ - 2}}} [/tex]

[tex] \longrightarrow{ \sf{x = 17}}[/tex]

Value of x = 17

Replacing / Substituting the value of x in 6x - 35 in order to find the value of UW

[tex] \sf{UW = 6x - 35 = 6 \times 17 - 35 = 67}[/tex]

UW = 67

Hope I helped!

Best regards! :D

There are 6 girls and 4 boys taking karate lessons. Write the ratio that compares the
number of girls taking karate lessons to the total number of students taking karate
lessons

Answers

6:10

(6 girls for every 10 students)

Answer:

6:10

6+4=10

Step-by-step explanation:

I know I'm no smarty pants but I need help!!

The given line passes through the points (-4, -3) and (4, 1).

On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4, 3)?

Answers

Answer:

it is a linear function

Step-by-step explanation:

a+D_r

2(x - 4) + 2x = -6x – 2

Answers

Answer:

x= 0.6  

Step-by-step explanation:

Answer:

[tex]x = \frac{3}{5}[/tex]

Step-by-step explanation:

Apply the distributed property to 2(x - 4). It should now look like this:    2x - 8Plug 2x - 8 in: 2x - 8 + 2x = -6x - 2Combine like terms on the left side, so it now looks like this: 4x - 8 = -6x - 2Combine like terms even further: 4x - -6x = 8 - 2Simplify: 4x + 6x = 6Start adding, so it now looks like this: 10x = 6Divide each side by 10 to cancel out the 10 next to x. It should now look like this: x = 3/5

I hope this helps!

Other Questions
A constraint with a positive slack value:_____.a. will have a positive dual price.b. will have a negitive dual price.c. will have a dual price of zero. Find the midpoint of the line segment with endpoints ( 5, 2 ) and ( -4, -3 ) What two physical properties are used to describe matter? Identify the structure of (E)-2-butenal Sarah has two job offers: Nike will pay her $12 per hour and chick-fil-a will pay her $8 per hour. If she works 13 hours at Nike and 16 hours at chick-fil-a at which job would she earn more money? Find the volume of a rock made out sandstone with a density of 2.4 g/cm^3 and a mass of 8.5g. One way in which the settlement at Jamestown (1607) and Plymouth (1620) were similar is that both- A.) were located in the Middle Colonies B.) were for religious freedom c.) had economies that supported mercantilism D.) were settled by the same people Someone help plsss middle school work pls what is the closest star to us besides the sun? article blank of the constitution describes the presidents responsibilities.. Why could religious toleration succeed in the colonies? (2+2)^2=2^2 * 2^2 thanksss Adam will be 50 years old in eleven years. How old is he now? ?????????????????????????????????????????????????????????????????/ 1. What is a group that is the target of misconceptions andstereotypes? (You don't have to be a member of this group) 1- What is the fastest growing career in terms ofpercent growth? In terms of raw quantity?2- How many more people are expected to work as mathematicians by 2026?3- What fraction of the fastest growing careers are in the health & human services industry? Why do you think that's the case? 4- If you were going to choose your future career from this list based solely on your prospects for employment, which of these jobs would you choose? Explainyour thinking 2. A neat appearance and respectful language falls under which category?-Professional Standards-Communicatioh skills-Goal Setting-Confidentiality match each social group in Athenian Society with its description An air filter can remove dust particles from air but will reach capacity (saturation) at 50.0 mg. Of air containing 225 g dust particles per m3 air is passed through the filter at 400 ft3 /min and air leaving the filter has 15.0 g dust/m3 air, how much time, in days, is required for the filter to reach saturation Solve the given inequality.4.2x > 6.3