If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
coordinate points on the curve where x = -1 and the line tangent to the
curve is horizontal, or state that no such points exist.

Answers

Answer 1

Answer:

There is no point of the form (-1, y) on the curve where the tangent is horizontal

Step-by-step explanation:

Notice that when x = - 1. then dy/dx becomes:

dy/dx= (y+2) / (2y+1)

therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:

0 = ( y + 2) / (2 y + 1)

And we obtain y = -2 as the answer.

But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:

(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2  (instead of zero)

Then, we conclude that there is no horizontal tangent to the curve for x = -1.


Related Questions

20 POINTS AND BRAINLIEST FOR CORRECT!!!!


3 1/3 OF 10

Answers

Answer:

33.333333333

Step-by-step explanation:

simply turn 3 1/3 into an improper fraction by multiplying the denominator by the coefficient and adding the numerator to get 10/3, which simplifies to 3.3333 and multiply it by 10 and you get 33.3333.

what is the complement of rolling a 3 on a die

Answers

Answer:

Part of a train timetable is shown.

Aberystwyth

Shrewsbury

Birmingham

08 30

10 17

12 30

14 19

13 55

16 05

17 20

a)

Bob catches the 12 30 train from Aberystwyth. He arrives in Shrewsbury 8 minutes late. What time does he arrive in Shrewsbury?

b) How long is Bob's journey from Aberystwyth to Shrewsbury? Give your answer in minutes.

minutes

11 30

15 30

Judy catches the 12 30 train from Aberystwyth.

She arrives in Shrewsbury on time.

She attends a job interview.

She gets back to Shrewsbury station 1 hour and 50 minutes later. Is she back in time to catch the 16 05 train to Birmingham?

You must show your working.

A cow can be milked in 5 minutes, but it must be milked twice a day. If 6 cows can be milked at a time, how many cows can be milked in 10 minutes?

Answers

answer: 12

explanation:

you can milk 6 in five minutes so you multiple 6 by to because 10 is 5 two times

reference angle for 39π/31

Answers

Answer:

i hoped i helped if i didnt sry

Step-by-step explanation:

Mrs. Smith has a total of 25 kids in her class. There are 3 more boys than there are girls. Write a system of equations to model this. Use b to represents the boys and g to represent the girls.

Answers

Answer:

b + g = 25

b = g + 3

Step-by-step explanation:

Let b = number of boys.

Let g = number of girls.

"Mrs. Smith has a total of 25 kids in her class."

b + g = 25

"There are 3 more boys than there are girls."

b = g + 3

The system of equations is:

b + g = 25

b = g + 3

Do not round your answer. Type in just the number. 0.48 is what % of 1 .6​

Answers

Answer:

0.00768

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

1.6÷100=0.016

1% - 0.016

0.48÷0.016=30

Pythagorean’s theorem

Answers

Step-by-step explanation:

Given

Hypotenuse (h) = 7

base (b) = 4

perpendicular (p) =?

Using Pythagoras theorem we get,

p = √h² - b²

= √7² - 4²

= √33

= 5.74

Hope it will help :)❤

p = a

a = 5.74 or u can write

a = √33

Answer:

5.74

Step-by-step explanation:

a=?

b=4

c=7

a^2=c^2-b^2

=7^2-4^2

=49-16

=33

a=√33

a=5.74

If the equation of a line is 4x + 4y = 1 and equation of a second line is x + y = -8 which of the following is true

Answers

Answer:

Step-by-step explanation:

Two lines are perpendicular. The equation of the first line is y = 4x + 1. Which of the following cannot be the equation of the second line? A. y = -1/4x -2 B. x - 4y = -2 C. x + 4y = 2 D. 8y = -2x - 5

6 in
4 in
4 in.
What is the surface area of the right square pyramid?

Answers

Answer:

48in

Step-by-step explanation:

6 x 4 x 4

96

divide it by 2

48

Answer:

48

Step-by-step explanation:

grhgbfjsbrvgjxbwifbcozbwicovbsnw

A shirt is originally priced at $24.50 a shirt goes on sale for 30% off the original price how much money to the nearest cent does the shirt cost including 7% tax on the sale price

Answers

Answer:

7.86 is the answer

Step-by-step explanation:

30% of 24.50 is 7.35.

7.35+ 7% is 7.86

7.86 to the nearest cent is 7.86

PLEASE HELP !! Select all the correct answers.
Janine needs to calculate the value of log12 81
Which expressions could she input into her calculator to find this value?

Answers

Answer: In 81/ In 12 AND log 81/log 12

Step-by-step explanation: PLATO ANSWER I got 100%

To solve the problem we must know about the change of base rule for Logarithm.

What is the change of base rule for Logarithm?

The change of base rule for Logarithm helps us to change the base of any logarithmic expression to any other logarithmic expression.

[tex]log_ab = \dfrac{log_x b}{log_x a}[/tex]

where x is any base.

The expression can be expressed as [tex]\dfrac{log\ 81}{log\ 12}[/tex].

Given to us

[tex]log_{12}81[/tex]

Change of base rule

[tex]log_{12}81\\[/tex]

use the change of base rule, [tex]log_ab = \dfrac{log\ b}{log\ a}[/tex],

[tex]log_{12}81=\dfrac{log\ 81}{log\ 12}[/tex]

Hence, the expression can be expressed as [tex]\dfrac{log\ 81}{log\ 12}[/tex].

Learn more about Logarithm:

https://brainly.com/question/7302008

4. Brett is fencing in a circular patio. The radius of the patio is 70 feet. How many linear feet of
fencing does he need to enclose the patio?

Answers

Answer:

The number of feet of fencing that he needs will be equal to the perimeter of the circular patio.

We know that the perimeter of a circle of radius R is equal to:

P = 2*pi*R

where pi = 3.14

Then if the radius of the patio is 70ft, the perimeter of the patio will be:

P = 2*3.14*70ft = 439.6 ft

Then he needs 439.6 ft of fencing to enclose the patio.

Find two ratios equivalent to the ratio in Exercise 1.

Answers

Answer:

12:26,   24:52 :D

HELP The perimeter of a rectangle is 150 inches the lengh is 3 inches longer than 5times the width find the length

Answers

12 inches

if the length = x,

P = 150 inches

=2 { ( 5x + 3 ) + x }

=10x + 6 + 2x

=12x + 6

Therefore 12x + 6 = 150

12x = 150 - 6

12x = 144

x = 12

multiply (-18)(-13) its for usatestprep

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(-18)(-13)  Equation/Question

Step 2

(-18)(-13)  Multiply

234

Answer

234

3. If A = 6x^2 - x^2 + 4x + 8 and B = 2x^3 + x - 5 then A - B equals

(1) 4x3 - x2 + 3x – 13
(2) 8x3 - x2 + 5x + 3
(3) 4x3 – x2 + 3x + 13
(4) 8x3 + 3x + 3​

Answers

Hi there!

[tex]\large\boxed{(3) \text{ } 4x^{3} - x^{2} + 3x + 13}[/tex]

Given:

A = 6x³ - x² + 4x + 8

B = 2x³ + x - 5

Find A - B by subtracting the two equations. Subtract like-terms:

6x³ - x² + 4x + 8 - (2x³ + x - 5)

Simplify:

6x³ - x² + 4x + 8 - 2x³ - x + 5 =

4x³ - x² + 3x + 13. The correct choice is 3.

Mrs. Smith bought 4 dozen doughnuts and paid a total of $13.92. What was the cost of 1 doughout
. A. $0.29
B. $3.48
C. $0.35
D. $1.16

Answers

Answer:

A $0.29

Step-by-step explanation:

4 dozen donuts is 48 donuts. (A dozen is 12 so 4 times 12 is 48). $13.92 divided by 48 is $0.29.

B because you have to divide 13.92 to 4

-b-2>8

Pls help me! I’m really confused

Answers

Answer:

b<−10

Step-by-step explanation:

Answer:

b<-10

Step-by-step explanation:

Inequality: -b-2>8

Step 1: Add 2 to both sides

-b-2+2>8+2

-b>10

Step 2: Divide both sides by -1

-b > 10

_      _

-1     -1

b<-10

Hope this helps you!!!!

What is the area of the figure below?
43 in
3 in
48 in 2
5 in.
68 in 2
1
88 in 2
5 in
3 in
3 in
7 in,

Answers

Answer:

68in

Step-by-step explanation:

I ready test

Answer: 68

Step-by-step explanation:

‘Multiply all of them and boom

I will mark you brainliest

Answers

Answer:

[tex](15s)^6[/tex] is the same as [tex]15^6[/tex] × [tex]s^6[/tex]

The above statement can be proven by a rule related to exponents that states: [tex](ab)^c = a^c[/tex] × [tex]b^c[/tex]

[tex]3s^4[/tex] × [tex]5s^2[/tex] = [tex]15s^6[/tex]  

(Work for the equation above ---> You would multiply the 3 and 5 together (3 x 5 = 15) and then multiply the s terms together [tex]s^4[/tex] x [tex]s^2[/tex] , and this can be done using the exponent rule --> [tex]a^b[/tex] x [tex]a^c[/tex] = [tex]a^{b+c}[/tex]. This means that [tex]s^4[/tex] x [tex]s^2 = s^{4+2} = s^6[/tex]) This results in [tex]15s^6[/tex]

[tex]15s^6 \neq 15^6[/tex] x [tex]s^6[/tex]

Hope this helps in any way!! :D

HELP PLEASE The 20% tip on a $8 sandwich​

Answers

Answer:

$1.60

Step-by-step explanation:

So, to find the persent of a number, we need to make the percent a decimal.

So, 20% is equal to 0.2

Then, we need to multiply 0.2*8

       8.0

*      0.2

________

       1.6

So, our answer is 1 dollar and 60 cents!

Answer:

$1.60 (shorter answer)

HELP ASAP-The girls’ soccer team won 80% of its games this season. They won 12 games. -The boys’ soccer team won 70% of its games this season. They won 14 games. How many games did each soccer team play this season?

Answers

Answer:

12 and 14

Step-by-step explanation:

15 - 20% = 12

20 - 30% = 14

ez

Given the figure below, which of the following points name a line segment, a line, or a ray?



point B and point C
point A and point C
point D and point A
point E and point A

Answers

Answer:

Point a and point c

i dont know anything else

Answer:

a and c

Step-by-step explanation:

plz give me brainliest

Builder’s Warehouse has a clearance on overstocked merchandise. A picnic table that usually sells for $167 is on sale for $149. What is the markdown?

Answers

167-149= The answer is 18

What percent of 9 is 1

Whole number,fraction,or mixed number

Answers

9514 1404 393

Answer:

  11 1/9%

Step-by-step explanation:

1/9 × 100% = (100/9)% = (11 1/9)%

please please please help PLEASEEEE!!!! 121OKCJE

A runner can run 3/5 of a mile in 4 minutes. If he runs at the same rate, how far will he run in an hour?

Answers

Answer:

9 miles

Step-by-step explanation:

Pi rational see pdf document attached

Answers

Answer:

[tex]\pi \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]

for me its not loading..

When is it appropriate to use the paired t test (involving the mean of the differences)? A. When two independent samples are compared. B. When two dependent samples are compared. C. When four samples are compared at once. D. When any two samples are compared.

Answers

Answer:

B. Two dependent samples are compared

Step-by-step explanation:

We use it when we are comparing Two dependent samples. The paired t-test can be likened to the repeated measures ANOVA test. Both of these two test are useful when comparing how a static group does in different test conditions.

But the difference between these two are:

We use the paired t-test if the explanatory variable has two levels.

While the Repeated measures ANOVA is used when the explanatory variable has greater than two levels.

Locate and classify all the critical points of the function. (If an answer does not exist, enter DNE.)

f(x, y) = 2x² + 3y² + 4

Answers

Answer:

Step-by-step explanation:

f(x,y)=2x2+3y2−4x−1 ⇒ ∇f =⟨4x−4,6y⟩=⟨0,0⟩ ⇒ x=1, y = 0. Thus (1,0) is the only critical point of f, and it lies in the region x2+y2<16.Ontheboundary,g(x,y)=x2+y2=16 ⇒ λ∇g=⟨2λx,2λy⟩,so6y=2λy ⇒ eithery=0orλ=3. Ify=0,then x=±4;ifλ=3,then4x−4=2λx ⇒ x=−2andy=±2√3. Now f(1,0) = −3, f(4,0) = 15, f(−4,0) = 47, and f−2,±2√3 = 51. Thus the maximum value of f(x,y) on the disk x2+y2 ≤ 16 is f−2,±2√3 = 51, and the minimum value is f (1, 0) = −3.

12. Quadrilateral ABCD is located at A(-4,-2), B(0, -2), C(1, 2), and D(-3,2). What is
the most specific classification of ABCD?
PLEASE HELP ???

Answers

Answer:parallelogram

Step-by-step explanation:

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