Find the slope of tangent line at (1,-1.5)

Find The Slope Of Tangent Line At (1,-1.5)

Answers

Answer 1

Answer:

The slope of the tangent m = -0.0833

Step-by-step explanation:

Step(i):-

Given that the curve

      x y - 2y² + x² = -5 ...(i)

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

  [tex]x(\frac{dy}{dx} )+y (1) -2(2y)\frac{dy}{dx} + 2x=0[/tex]

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

    [tex](x -4y)\frac{dy}{dx} = -2x-y[/tex]

       [tex]\frac{dy}{dx} = \frac{-2x-y}{x-4y}[/tex]

Step(ii):-

The slope of the tangent

[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2x-y}{x-4y}[/tex]

[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2(1)-(-1.5)}{1-4(-1.5)}[/tex]

       m =   [tex]\frac{-2+1.5}{1+6}[/tex]

       [tex]m = \frac{-0.5}{6} = -0.083[/tex]

The slope of the tangent m = -0.0833


Related Questions

their how much will they pay ifame lasts for 4 hours 6 hours or 8 hours​

Answers

Answer:

There are two equivalent formulas to choose from when solving work-rate problems. If two people are working together on a job then their work rates add and they can perform the job working together in a shorter amount of time. If we let x = the time it takes a person to complete a task then his work rate is 1/x. In other words, he can complete the 1 job in x number of hours. If we let y = the time it takes a second person to complete the task and t = the time it takes for both people working together we get the following work-rate formulas:

Use Ratio and Rate Vocabulary
RECORDING SHEET
Harper is buying fabric to make pillows. At the store, 3 yards of
flannel fabric costs $18, and 5 feet of fleece fabric costs $11. Whi
the better buy?
I know the units need to be the same to compare the prices.
First,
the length of the flannel fabric to feet.
The
of feet to yards is 3 feet: 1 yard.

Answers

for flannel, 3*3=9, 18/9=2 so $2 per foot.
for fleece, 11/5=5.5 so $5.50 per foot.
flannel is the better but

During this pandemictl the sales of alcohol increased in Linda's stop shop from 120 boxes to 150 boxes. What is the precent of increase?

Answers

Answer:

30/120 *100

Step-by-step explanation:

which is 25 percent

Screen printing a batch of shirts requires 1 minute per shirt in addition to 6.07 minutes of initial setup time. If it takes 13.07 minutes to screen-print a batch of shirts, how many shirts are in the, batch?

Answers

Answer:

7

Step-by-step explanation:

13.07 minus 6.07 is 7

7 divided by 1 is 7

ans is 7

A newsletter publisher believes that less than 25% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim

Answers

Answer:

There is enough evidence at the 0.05 significance level that the percentage is less than 25%.

Step-by-step explanation:

The question has no options. However, there are enough details to arrive at a conclusion.

Required

What can we conclude about the claim of the publisher.

From the question, we understand that the null hypothesis is rejected.

In statistics, a hypothesis is rejected, if the level of significance is less than the required or determined value.

In this case, the determined value 25% and the level of significance is 0.05

So, the conclusion on the claim is that there is enough evidence at the 0.05 significance level that the percentage is less than 25%.


The four corners of a square are located at (-7, -2), (-7,5), (0,5), and (0, -2). What is the perimeter of the square?
A. 14 units
B. 21 units
C. 28 units
D. 49 units

Answers

Answer:

A)14 Units is the answer for this question

but check it

Find the value of x.
х
50°

Answers

The unknown value of x from the diagram is 80 degrees.

The given diagram is an isosceles triangle.

The base angle of an isosceles triangle are equal

The sum of angle in a triangle is also 180 degrees. Hence:

x + 50 + 50 = 180

x + 100 = 180

Subtract 100 from both sides

x + 100 - 100 = 180 - 100

x = 80 degrees

Hence the unknown value of x from the diagram is 80 degrees.

Learn more here: https://brainly.com/question/21680544

What is the value of z in the equation 2(4z − 3 − 1) = 166 − 46?
I know that 166-46 is 120 but i get stuck on the distributive property part. I end up with 8z-2. Also I will give brainliest.

Answers

Answer:

2(4z − 3 − 1) = 166 − 46

8z − 6 − 2 = 120

8z − 8 = 120

8z = 128

z = 16

pls give the brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have to multiply 2(4z - 3 - 1 ). so 2 * 4z = 8z. so then you would do 2 * (-3) = -6. then you would do the same with -1. 2* (-1) = -2.

now you have to put it back in equation form. 8z - 6 - 2 = 166 - 46. now you have to combine like terms. -6-2 = -8. 166 - 46 = 120. and then put it back into equation form. 8z - 8 = 120. then you add 8 to 120. 120+8 = 128. now to find z all you have to do is divide 128/8 = 16

z = 16  

PLEASE HELP! URGENT

Answers

This is so easy give me time to answer it7293

50°

Step-by-step explanation:

notice the lines. from that you can tell that 3y+4=5y-10. with calculation, you get y=7. substitute y=7 and you get 50°

Type the ordered pair for each vertex below

Answers

Answer:G = 7,3H = 9,6I = 11,3Hope this helps!!♥︎

The first one is G=7,3.

You have a data set with a Gas Price variable. It lists the price of a gallon of regular gasoline at a randomly selected 100 gas stations around the country in a particular week. You calculate a 95% confidence interval for the mean of Gas Price, and it turns out to be $2.43 plus or minus $0.16. Which of the following most closely reflects what you can conclude? a. If your sample size had been 400, and you had observed the same sample mean but a sample standard deviation twice as large as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08. b. If your sample size had been 400 and you had obtained the same sample mean and sample standard deviation as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08. c. If you had observed the same sample mean and sample size, but a sample standard deviation twice as large as the one you observed, the 95% confidence interval would have been approximately $2.43 plus or minus $0.24. d. If you had observed the same sample mean and sample size, but a sample standard deviation half as large as the one you observed, the 95% confidence interval would have been approximately $2.43 plus or minus $0.04.

Answers

Answer:

b. If your sample size had been 400 and you had obtained the same sample mean and sample standard deviation as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08.

Step-by-step explanation:

Confidence interval:

A confidence interval is given by the sample mean plus minus the margin of error.

Margin of error:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which M is the margin of error, z is related to the confidence level(the higher the confidence level, the higher the value of Z), [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

This is important to note that the margin of error is inversely proportional to the square root of the size of the sample.

In this question, we have that:

95% confidence interval for the mean of Gas Price is of $2.43 plus or minus $0.16, with a sample of 100.

Option A:

Sample size of 400, which is four times the original, while the standard deviation is twice the original.

This means that the margin of error would be the same, as it would be multiplied by 2 in the numerator and divided by the square root of 4, that is, 2 in the denominator. So the interval would still be of $2.43 plus or minus $0.16, which means that option a. is wrong.

Option B:

Sample size of 400, which is four times the original, while the rest is the same.

The margin of error would be divided by the square root of 4, that is, 2, which means that it would be half of the original, and the interval would be $2.43 plus or minus $0.08, which means that option b. is correct.

Option C:

In this case, the margin of error will be doubled, since the standard deviation is double the original. So the confidence interval would be of $2.43 plus or minus $0.32, which means that option c. is wrong.

Option D:

In this case, the margin of error will be halved, since the standard deviation is half the original.  So the confidence interval would be of $2.43 plus or minus $0.08, which means that option d. is wrong.

Help me pls I don't know what I'm doing ​

Answers

Answer:

B. 3.6

Step-by-step explanation:

I have no idea if this is right but my logic is 3.6 - 3.6 = 0

Answer:

B. 3.6

Step-by-step explanation:

The equation is

w - 3.6 = 0

That means start with some number. Then subtract 3.6 from that number. The result is 0. What number is it that when you subtract 3.6 from it you get 0? That number is 3.6 since 3.6 - 3.6 = 0. That means w, the unknown, must equal 3.6.

That is the explanation.

The way to solve the equation is to see what is being done to the unknown. The unknown here is w. On the left side, you see 3.6 being subtracted from w. In order to undo a subtraction, you must do the opposite operation which is an addition. In order to undo a subtraction of 3.6, you must add 3.6. The rule with equations is that you must do the same operation to both sides of the equation, so add 3.6 to both sides of the equation.

w - 3.6 = 0

Add 3.6 to both sides.

w - 3.6 + 3.6 = 0 + 3.6

w = 3.6

Answer: B. 3.6

multiply c by 9, then add 2 to the result

Answers

Answer:

9c+2

Step-by-step explanation:

What is x. PLEASE HELP NEED ANSWERS NOW. M=​

Answers

2(6x+20) +2(8x-16)=180
12x+16x+40-32=180
28x+8=180
X=180-8/28=6
I think so my calculation may be wrong )

Which of these expressions are equivalent to 225 3/2? Select all that apply.

Answers

Answer:

C.

Step-by-step explanation:

it could also be written as (sqrt225)^3

C is correct because sqrt225 is equivalent to 225^1/2

using exponent rules, 3 mutiplies to the 1/2 making it 225^3/2

sum of two numbers is -17. Their difference is 41. Find the numbers

Answers

Answer:

[tex]Suppose~the~two~numbers~are~x~and~y.\\From~the~first~condition,\\x+y=-17...........(1)\\From~the~second~condition,\\x-y=41.............(2)\\Adding~eq^n(1)~and~eq^n(2),~we~get,\\x+y+x-y=-17+41\\or, 2x = 24\\or, x=12\\Substituting~x=12~in~eq^n(2),\\y = -17-x = -17-12 = -29[/tex]

[tex]So,~the~two~numbers~are~12~and~-29.[/tex]

what is 893 :9 in long division​

Answers

0 remaining 9 i’m just typing more bc it says it’s can’t be under 20 words
Hi, I’m here to help! Here’s what I got:

In a sample of 310 people, 186 completed only high school, 24 completed only some college, 93 completed a two-year or four-year college, and 7 attended graduate school. What proportion of the sample does not have a two-year or four-year college degree

Answers

Answer:

The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.

Step-by-step explanation:

Sample of 310 people.

186(only high school) + 42(only some college) did not have have a two-year or four-year college degree.

So

[tex]p = \frac{186+42}{310} = 0.7355[/tex]

The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.

Find the slope of the line that passes through (1, 14) and (4,10),
Simplify your answer and write it as a proper fraction, improper fraction, or integer,

Answers

the slope is -4/3. 14-10=4, 1-4=-3

Answer: the slope is -4/3

Step-by-step explanation:

Joe and his friend are going hiking they bring with them a container that holds 1/2 of gallons of water if they share the water equally will fraction of a gallon would each friend get?

A. 1/3
B. 3/2
C. 1/4
D. 1/6

Answers

Answer
C. 1/4
I hope this helps!

Arrange to Least to Greatest:
1.4, 0, 0.14, 1/4, 1, -1/4

Answers

—1/4, 0, 0.14, 1/4, 1, 1.4

Two unequal values that are compared using less than (<) and greater than (>) signs.

Answers

Answer:

I'm pretty sure it's D

Step-by-step explanation:

maths

Answer and solution plse :)

Answers

Answer:

there are 8 prime numbers.

Answer:

B) 6

answer is b (6)

7,17,37,67,97,47

Fission reactions release ______ fusion reactions.
A. more energy than
B. less energy than
C. the same amount of energy as

Answers

B fission reactions release less energy than fusion reactions

Step-by-step explanation:

b less energy than Fusion reactions

pleaseee helppppppppp​

Answers

Answer:

y is just being multiplyed by -4 :)

Step-by-step explanation:

in other words -4x

Answer:

y = -4x

Step-by-step explanation:

lets simplify
a. 4x²×3x
_____
6x²​

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

A Mater Exam
Q2 SA 1
4 Points
What is the slope of a line that is perpendicular to the line f(x) = 2x + 6? Justify your answer
by typing out your calculations or explaining your reasoning.
Enter your answer here
Please select file(s)
Select file(s)

Answers

Answer:

The slope of the perpendicular line to the line is

m   = [tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given that the line y =f(x) = 2x +6

                           ⇒  y = 2x +6

 comparing             y =mx +c

The slope of the given line   m =2

Step(ii):-

The slope of the perpendicular line   = [tex]\frac{-1}{m}[/tex]

The slope of the perpendicular line   = [tex]\frac{-1}{2}[/tex]

This circle graph shows the results of a survey that asked 80 people which method of transportation they use to get to the city park.


How many people ride a bike to the city park?

8 people
20 people
25 people
32 people

Answers

25 % of 80- .25x80=20 the answer is 20 people

Answer:

20 people

Step-by-step explanation:

i did the test <3

An 18 fluid ounce bottle of lotion costs $10.99, what is the price per fluid ounce?

Answers

Answer:

$0.61 per fluid ounce

Step-by-step explanation:

$10.99 / 18 = $0.61 per fluid ounce

en una casa construida con madera el tejado se sostiene con una estructura triangular en el que se utilizan ángulos complementarios ¿cómo se construye es estructura?¿qué pares de ángulos son congruentes ? ¿cómo se distribuye la carga que soporta?​

Answers

Answer:

Si me dieras una imagen con esto, podría responderla fácilmente, pero no hay una imagen o modelo para ayudar a disculparme.

Step-by-step explanation:

lo siento, tal vez vuelva a publicarlo con un modelo o una imagen para que pueda ayudar

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