Find fx,fy, and fa-The symbol λ is the Greek letter lambda f(x, y, λ)=x2 + y2-A(6x + 9y-10)

Answers

Answer 1

The partial derivatives are:
f_x = 2x - 6λ
f_y = 2y - 9λ
f_λ = -(6x + 9y - 10)

To find the partial derivatives of f(x, y, λ) = x^2 + y^2 - λ(6x + 9y - 10), we'll differentiate with respect to each variable (x, y, and λ) while treating the others as constants:

1. Partial derivative with respect to x (f_x):
f_x = ∂f/∂x = 2x - λ(6)

2. Partial derivative with respect to y (f_y):
f_y = ∂f/∂y = 2y - λ(9)

3. Partial derivative with respect to λ (f_λ):
f_λ = ∂f/∂λ = -(6x + 9y - 10)

So, the partial derivatives are:
f_x = 2x - 6λ
f_y = 2y - 9λ
f_λ = -(6x + 9y - 10)

To learn more about partial derivatives visit : https://brainly.com/question/30217886

#SPJ11


Related Questions

The Cruisers scored a total of 105 points in a basketball game against the Strikers. The Cruisers had a total of 43 baskets, some of which were two-point shots and some of which were three-point shots. How many two-point and three-point shots did the Cruisers score?

Answers

The number of two-points and three points shot The Cruisers scored are 24 and 19 points respectively.

How to find the number of two and three points made?

The Cruisers scored a total of 105 points in a basketball game. They also had a total of 43 baskets, of which some were two-point shots and some of were three-point shots.

Therefore, the number of two-points and three-points the cruiser scored is as follows:

x = number of two-points

y = number of three-points

So;

x + y = 43 -------1

Also;

2x + 3y = 105 -----2

Multiplying equation(1) by 2

2x + 2y = 86

2x + 3y = 105

Subtract equation(i) from equation(ii)

y = 19

To find x:

x = 43 - 19

x = 24

Therefore,

number of two-points = 24

number of three-points = 19

learn more about equations here: brainly.com/question/18649329

#SPJ1

How much would be earned on a $425 deposit earning 3% simple interest for 2 years? A. $12.75 B. $25.50 C. $25.88 D. $38.25

Answers

Answer:

Add ak190 smart answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I think its C

it’s a better option than the last guys answer lol

∫ 2x dx solve this question

Answers

Answer

\(\int\limits {2x} \ dx\)

\(= x^2+ c\)

\(∫(2x)dx \\ {x}^{2} + C\)

Solve the following equation. x2 - 6x +9= 16 ​

Solve the following equation. x2 - 6x +9= 16

Answers

Answer:

x= 7, -1

Step-by-step explanation:

Answer:
X1= -1,x2=7
Explain

determine the equation of line from the graph

determine the equation of line from the graph

Answers

Answer:

y = -x

Step-by-step explanation:

Answer: Y=-X

Step-by-step explanation:

what is one astronomical unit in inches

Answers

Answer:

5.89E+12

Step-by-step explanation:

Develop an estimated regression equation that can be used to predict the percentage of games won given the percentage of field goals made. At the .05 level of significance, test for a significant relationship

Answers

Develop an estimated regression equation to predict the percentage of games won based on the percentage of field goals made and determine if there is a significant relationship between the two variables at the .05 level of significance.

To develop an estimated regression equation that can be used to predict the percentage of games won given the percentage of field goals made and test for a significant relationship at the .05 level of significance, follow these steps:

1. Gather data: Collect data on the percentage of games won and the percentage of field goals made for a representative sample of teams or seasons.

2. Perform a regression analysis: Use statistical software or a spreadsheet tool to run a linear regression analysis, where the dependent variable (Y) is the percentage of games won and the independent variable (X) is the percentage of field goals made.

3. Obtain the regression equation: From the regression analysis output, find the coefficients for the intercept (b0) and the slope (b1). The estimated regression equation will be Y = b0 + b1X.

4. Test for a significant relationship: To determine if there is a significant relationship between the percentage of games won and the percentage of field goals made at the .05 level of significance, analyze the p-value associated with the independent variable (X) in the regression output. If the p-value is less than .05, there is a significant relationship between the variables.

5. Interpret the results: If a significant relationship exists, the regression equation can be used to predict the percentage of games won based on the percentage of field goals made. The slope (b1) indicates how the percentage of games won changes for each percentage point increase in field goals made. If there is no significant relationship, the equation cannot be used for reliable predictions.

By following these steps, you can develop an estimated regression equation to predict the percentage of games won based on the percentage of field goals made and determine if there is a significant relationship between the two variables at the .05 level of significance.

To learn more about regression equation, refer here:

https://brainly.com/question/14184702#

#SPJ11

Visit this online dictionary and search for the definition of justice. Which part of speech is the word justice? Which definition best matches the definition given by the online dictionary?

Answers

Answer:

noun and fairness

Step-by-step explanation:

Giving each person what they deserve, or, in more formal terms, their due, is what is meant by justice. Today, the terms justice and fairness are frequently used interchangeably because of their close relationship. However, there have also been more definite interpretations of the two names.

Justice is noun part of speech.

What do you mean by Speech?

Speech is the ability to articulately express ideas and thoughts through vocal sounds. It is also the act of doing so.

Justice, in its broadest sense, is the idea that people should get what they deserve. However, there are many different fields and viewpoints that have an impact on what is considered to be "deserving," including those that focus on morality as it relates to ethics, reason, law, religion, equity, and fairness. The state will occasionally make an effort to improve justice by running courts and upholding their decisions.

Therefore, Justice means fair treatment and it is noun part of speech.

Learn more about Speech, here;

https://brainly.com/question/29586134

#SPJ2

A 6 inch-y’all plant grew 3/4 of an inch one week and twice as much the following week. How tall is the plant now?

Answers

Answer:

8 inches

Step-by-step explanation:

3/4+(3/4*2)=3/4+6/4=9/4=2 1/4

2 1/4+6=8 1/4=8.25

Answer: 8.25 inches

Step-by-step explanation:

A restaurant plans to use a new food delivery service. the food delivery service charges $5.92 for every 2 meals delivered, plus a $2.50 service fee. what is the slope of this situation?

Answers

Answer:

Step-by-step explanation:

The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal

Can someone help me please

Can someone help me please

Answers

Answer:

A, 48 degrees

Step-by-step explanation:

180 - 42 - 90 = 48 (all interior angles add up to 48)

Answer:

it’s A

Step-by-step explanation:

it’s a because the right triangle is always 90°.As you can see there is 42° so you subtract to find the missing number.

PACKAGING A juice manufacturer is creating new cylindrical packaging. The height of the cylinder is to be 3 inches longer than the radius of the can. The cylinder is to have a volume of 628 cubic inches. Use 3.14 for π.

Answers

The radius of the cylinder is about 7.4 inches, and the height is 3 inches longer, or about 10.4 inches.

What is the volume of the cylinder?

If 'r' is the radius of the cylinder and 'h' is the height of the cylinder then the volume of the cylinder can be computed as

Volume = V = πr²h

Let's start by assigning variables to the information given in the problem:

Let r be the radius of the cylinder.

The height of the cylinder is 3 inches longer than the radius, so the height can be represented as h = r + 3.

The volume of the cylinder is given as 628 cubic inches, so we can use the formula for the volume of a cylinder to create an equation:

V = πr²h = 628

Now we can substitute h = r + 3 and π = 3.14 into the equation:

V = πr²h = 3.14r²(r + 3) = 628

Simplifying this expression, we can distribute the  \(r^2\) term:

\(3.14r^2(r + 3) = 3.14r^3 + 9.42r^2\)

Now we can set this equal to 628 and solve for r:

\(3.14r^3 + 9.42r^2 - 628 = 0\)

solving this, we get

r = 7.4 inches

and height = 10.4 inches,

Therefore, the radius of the cylinder is about 7.4 inches, and the height is 3 inches longer, or about 10.4 inches.

To learn more about the volume of the cylinder, visit:

https://brainly.com/question/9554871

#SPJ1

choose correct answer only NO NEED FOR STEPS ASAPPPP
A power series representation of the function 1 X+1 is given by None of the others. Σχ4η n = 0 O (-1)"x4 n=1 O (-1)"(x+4)" n=0

Answers

The correct power series representation of the function 1/(x+1) is given by:

Σ (-1)^n * x^n from n = 0 to infinity.

Let's break down the representation:

The general term of the series is given by (-1)^n * x^n. Here, n represents the index of the term in the series.

The series starts with n = 0, which corresponds to the first term of the series. When n = 0, the term becomes (-1)^0 * x^0 = 1.

As n increases, the powers of x also increase, resulting in terms like x, x^2, x^3, and so on.

The factor (-1)^n alternates between positive and negative values as n increases. This alternation creates the alternating sign in the series.

The series continues indefinitely, covering all possible powers of x.

By summing up all these terms, we obtain the power series representation of the function 1/(x+1).

Therefore, the correct power series representation of the function 1/(x+1) is given by:

Σ (-1)^n * x^n from n = 0 to infinity.

Learn more about power series here, https://brainly.com/question/14300219

#SPJ11

How much sales tax will be changed at Store B

Answers

Answer:

8

Step-by-step explanation:8

A 2-column table with 4 rows. The first column is labeled x with entries negative 6, negative 1, 0, 3. The second column is labeled y with entries negative 7, 1, 9, negative 2. What is the domain of the given function? {x | x = –6, –1, 0, 3} {y | y = –7, –2, 1, 9} {x | x = –7, –6, –2, –1, 0, 1, 3, 9} {y | y = –7, –6, –2, –1, 0, 1, 3, 9}

Answers

Answer:

I think the answer should be option one.

Step-by-step explanation:

I'm not sure

Answer:

{x | x = –6, –1, 0, 3}  

Step-by-step explanation:

We know nothing of the function other than it has solutions for inputs (x) of -6, -1, 0, 3.  We don't know if any other inputs have a valid output.  The only x values, the domain, for which we have information are {x | x = –6, –1, 0, 3} .

What is a rational number and how do you know?

Answers

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.
What is a rational number and how do you know?

I can find percentages and values using the 68-95-99.7 rule, z-scores, and the standard normal distribution.only answer please if you know the answer

 I can find percentages and values using the 68-95-99.7 rule, z-scores, and the standard normal distribution.only

Answers

Let X be the weight of fish in the lake.

Given that the mean and standard deviation as 20 and 6 respectively,

\(\begin{gathered} \mu=20 \\ \sigma=6 \end{gathered}\)

Consider the formula,

\(z=\frac{x-\mu}{\sigma}\)

The proportion of fish weighing less than 15 pounds is calculated as,

\(\begin{gathered} P(X<15)=P(z<\frac{15-20}{6}) \\ P(X<15)=P(z<-0.83) \\ P(X<15)=P(z<0)-P(-0.83From the Standard Normal Distribution Table,\(\emptyset(-0.83)=0.2967\)

Substitute the value,

\(\begin{gathered} P(X<15)=0.5-0.2967 \\ P(X<15)=0.2033 \end{gathered}\)

Mulyiply by 100 to get the equivalent percent,

\(P(X<15)=20.33\text{ percent}\)

Thus, 20.33% of fish in the lake will weigh less than 15 pounds.

I WILL GIVE BRAINLEST

I WILL GIVE BRAINLEST

Answers

The value of the angle 4 is 96 degrees as shown in the diagram.

Application of line geometry

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.

From the given diagram, the measure of angle 1 and 3 are equal as well as 2 and 4.

Given the following angles

m<3 = 84 degrees

Since the measure of <3 and <4 lies on the same straight line, hence:

m<3 + m<4 = 180

84 + m<4 = 180

m<4 = 180 - 84

m<4 = 96 degrees

Hence the measure of angle 4 from the figure is 96 degrees

Learn more on line geometry here: https://brainly.com/question/18874458

#SPJ1

What is the following quotient?
2-√8
----------
4+√12
thats the best way i could think to make a fraction lol sorry its messy :/

Answers

The quotient for the given expression  \(\frac{2-\sqrt{8} }{4+\sqrt{12} }\)  is ,   1/4

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression,  \(\frac{2-\sqrt{8} }{4+\sqrt{12} }\)

⇒  \(\frac{2-\sqrt{8} }{4+\sqrt{12} }\)

⇒  \(\frac{2-2\sqrt{2} }{4+2\sqrt{3} }\)

by rationalization of of denominator

⇒   \(\frac{2-2\sqrt{2} }{16-12 } \frac{4-2\sqrt{3}}{}}\)

⇒   \(\frac{2-\sqrt{3}-2\sqrt{2}+\sqrt{6} }{16-12 }\)

⇒   \(\frac{2-\sqrt{3}-2\sqrt{2}+\sqrt{6} }{ 4 }\)

Hence, the quotient is 1/4

To know more about Expressions check:

brainly.com/question/16804733

#SPJ1

Does the graph of the function ever cross the x-axis?

Answers

Yes, the graph of the function do cross the x-axis.

X-intercept . The x-intercept marks the location at which the graph crosses the x-axis, or (a,0). When y is 0, the x-intercept appears. The graph's intersection with the y-axis, or point (0,b), is known as the y-intercept. When x is 0, the y-intercept appears.

The x-intercept and y-intercept are the points at which a line crosses the x- and y-axes, respectively.

The y-axis is typically the vertical axis, while the x-axis is typically the horizontal axis. The figure below illustrates how they are represented by two number lines that perpendicularly intersect at (0, 0), the origin.

To learn more about the x-intercept click here:

brainly.com/question/14180189

#SPJ4

please help me with my math problem

please help me with my math problem

Answers

Answer:

A

Step-by-step explanation:

sin 32=29.2/x

x=29.2/sin 32

Answer:

\(A.\:\:x =\frac{29.2}{\sin (32)\degree}\)

Step-by-step explanation:

\(\huge \sin 32\degree =\frac{29.2}{x}\)

\(\huge\implies x =\frac{29.2}{\sin (32)\degree}\)

Results of a study were F (3, 12) = 2.72. Which of the following is the correct statistical decision?
Group of answer choices
Reject the null hypothesis, there was a statistically significant mean difference.
Reject the null hypothesis, there was not a statistically significant mean difference.
Fail to reject the null hypothesis, there was a statistically significant mean difference.
Fail to reject the null hypothesis, there was not a statistically significant mean difference.
How do you find the P-value?

Answers

The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).

To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.

The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).

To find the p-value, you would need the F-distribution table or statistical software.

Once you have the p-value, you can compare it to the significance level (α) to make a decision:

If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.

If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.

Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.

Learn more about p-value here:

https://brainly.com/question/30461126

#SPJ11

A deck of cards has all 12 face cards removed. If a card is drawn at random, what are the odds against drawing a card that is a prime number? Note: Prime means the only numbers divisible are 1 and itself.

3 to 2
2 to 5
3 to 5
2 to 3

Answers

Answer:

the answer is A 3 to 2

Step-by-step explanation:

but if it's wrong I'm sorry but if it's right I'm happy for you

The answer is 2 to 5

3 to the power of 2- 2x3 + 5

Answers

Answer:

8

Step-by-step explanation:

Answer:

−2x^3+13

Step-by-step explanation:

Let's simplify step-by-step.

23−2x^3+5

=8+−2x^3+5

Combine Like Terms:

=8+−2x^3+5

=(−2x^3)+(8+5)

=−2x^3+13

I need help please!!!

I need help please!!!

Answers

Answer:

40 degrees

Step-by-step explanation:

I need help please!!!

Find the Errors: A student multiplied the two polynomials below.

(a) Clearly state the two errors that the student made in their multiplication table. (4 points)

(b) State what the correct answer should be. (2 points)

Find the Errors: A student multiplied the two polynomials below. (a) Clearly state the two errors that

Answers

It’s messed up on the +2x and -8x^2. It should be +2x^2 and +8x^2. The answer should be -4x^3+10x^2-7x+6

z is a standard normal random variable. The P(-1.96 z -1.4) equals
a. 0.4192
b. 0.0558
c. 0.8942
d. 0.475

Answers

The probability P(-1.96 < z < -1.4) is approximately 0.055, which corresponds to option b. 0.0558.

To calculate the probability P(-1.96 < z < -1.4), where z is a standard normal random variable, we need to find the area under the standard normal curve between -1.96 and -1.4. This can be done by subtracting the cumulative probability at -1.4 from the cumulative probability at -1.96.

Using a standard normal distribution table or a calculator, we can find the cumulative probability at -1.96 to be approximately 0.025, and the cumulative probability at -1.4 to be approximately 0.080.

P(-1.96 < z < -1.4) is approximately 0.080 - 0.025 = 0.055.

Among the given options, the closest value to 0.055 is option b. Therefore, the correct answer is b. 0.0558.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ4

If s(n): 70-20 +6, then SCN) = 25CN-1) -S(0-2) + c for all integers n712. What Is the value of c? - с

Answers

The required answer is SCN(712) = 25 * C711 - 56 + c .

Explanation:-

To find the value of c, first analyze the given equation.

the recursive formula for s(n) as follows:

s(n) = 70 - 20 + 6

From this equation,  deduce that s(n) = 56 for all values of n, as all the terms on the right-hand side of the equation cancel out.

Now,  consider the recursive formula for SCN(n):

SCN(n) = 25 * CN-1 - S(0-2) + c

Substituting the value of s(n) into this formula, we get:

SCN(n) = 25 * CN-1 - 56 + c

Given that this formula holds true for all integers n, including n = 712, we can rewrite it specifically for n = 712:

SCN(712) = 25 * C711 - 56 + c

 solve for c. more information or constraints to determine the value of c.

To know about  recursive formula . To click the link .

https://brainly.com/question/1470853

#SPJ11

Please help stuck on this question

Please help stuck on this question

Answers

Answer:

110 - 2x

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 50 + 5x - 40 + 110 - 2x = 180, that is

4x + 120 = 180 ( subtract 120 from both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

x + 50 = 15 + 50 = 65°

5x - 40 = 5(15) - 40 = 75 - 40 = 35°

110 - 2x = 110 - 2(15) = 110 - 30 = 80°

The largest angle is (110 - 2x)° = 80°

What must you know to develop a binomial probability distribution?
(a) probability of success
(b) number of trials
(c) probability of success and the number of successes
(d) probability of success and the number of trials

Answers

To develop a binomial probability distribution, you need to know the probability of success and the number of trials.

A binomial probability distribution is used to model the probability of obtaining a specific number of successes in a fixed number of independent Bernoulli trials. In order to develop this distribution, two essential pieces of information are required: the probability of success and the number of trials.

Firstly, you need to know the probability of success, which represents the likelihood of a specific event or outcome occurring in each individual trial. This probability is denoted by "p" and must be a value between 0 and 1.

Secondly, you need to know the number of trials, which refers to the total number of independent experiments or events being conducted. This value is denoted by "n" and must be a positive integer.

With these two pieces of information, you can calculate the probability of obtaining a specific number of successes, ranging from 0 to n, using the binomial probability formula. This formula takes into account the probability of success, the number of trials, and the desired number of successes.

Overall, the probability of success and the number of trials are the key elements needed to develop a binomial probability distribution, enabling you to calculate the probabilities of various outcomes in a given set of independent trials.

Learn more about binomial probability distribution here:

https://brainly.com/question/29137961

#SPJ11

Other Questions
HELP QUICK PLS WILL GIVE BRAINLIEST A un estanque de agua en completa calma, se tira una piedra que provoca la formacin de ondas circulares concntricas, cada onda se aleja del centro a una velocidad de 20cm/segcon qu velocidad est aumentando la superficie total del agua perturbada al cabo de 8 seg? Why did people want a say in their government? An electron and a 0.0200 kg bullet each have a velocity of magnitude 500 m/s , accurate to within 0.0100 % . Within what lower limit could we determine the position of each object along the direction of the velocity? 8. How does a ""time-art"" like music differ from a ""space-art"" such as painting?. Jason has 17 pencils and Shannon has 43 pencils. How many pencils must Shannon give Jasonin order for them to have the same number of pencils? DoThe radius of each circle is 9.3 m.What are the width and length of therectangle?W =m1 =m Identify the factor that will most likely influence your ability to work out at your fitness center frequently. A. Fitness center recommended by friends and family B. Friendly staff C. Full range of equipment D. Location within 15 minutes of home or work Please select the best answer from the choices provided. A B C D. Were they happy? What is happiness to the gods? They were great they were mighty, they were wonderful and terrible. As I looked upon them and their magic, felt like a child but a little more, it seemed to me, and they would pull down the moon from the sky. saw them with wisdom beyond wisdom and knowledge beyond knowledge. And yet not all they did was well done even could see that and yet their wisdom could not but grow until all was peace.Find an example of how the author uses punctuation as part of character development. Explain.please help The lenses of a brightfield microscope are responsible for the _____ of the object you are viewing. Joseph rides his bike for 30 miles in an hour going west A parabola has a vertex at (3, 1) and goes through the point (2, -1). Explain how you would write the equation of the parabola given this information. Then describe the domain and range. Additionally, discuss whether the function has a maximum or minimum, how you know this, and identify the value. Simplify -1-18-(18)O - |18|0-18O 18 Help please!I could someone please find a pattern you notice, and a grammar rule to go with it What Relative Dating technique refers to missing rock records? "Only one person is missing," wrote French poet Alphonse de Lamartine, "and the whole world seems depopulated". according to atticus, what are three reasons why many maycomb citizens do not want to serve on a jury? What are viable explanations for the consistent observation of a few black mice on the island? Write a report on ''Hedging against climate risks using weatherderivatives''. (1/3)^-2 + (1/4)^-2 = (125)^xFind the value of x?