Find the derivative of the function using the definition of derivative. f(x) = kx d f '(x) = state the domain of the function
Answers
The derivative of the function using the definition of the derivative f(x) is mathematically given as
Derivative f(x)=k
Doman of \(f'(x)=\mathrm{R}\)
What is the derivative of the function using the definition of the derivative. ?Given that \(f(x)=k \pi+d \ldots(1)\)
To find the derivative of f(x) by using the limit definition.
\(\begin{aligned}f^{\prime}(x) &=\lim _{z \rightarrow 0} \frac{f(x+h)-f(x)}{h} \\&=\lim _{k \rightarrow 0} \frac{k(x+h)+d-(k x+d)}{h} \\&=\lim _{h \rightarrow 0} \frac{h h}{h} \\&=\lim _{k \rightarrow 0} k \\&=k\end{aligned}\)
Hence f'(x)=k
To find the domain of f(x)=k+d
\(f(\pi) \in \mathbb{R} \Leftrightarrow k \pi+d \in \mathbb{R}\\\\\Leftrightarrow x \in \mathbb{R}\)
Hence Domain of \(f(x)=\mathbb{R}\)
To find the domain of f'(x)=k
\(\begin{aligned}f^{\prime}(x) \in \mathbb{R}^{\prime} & \Leftrightarrow k \in \mathbb{R} \\& \Leftrightarrow x \in \mathbb{R}\end{aligned}\)
Hence Doman of \(f'(x)=\mathrm{R}\)
In conclusion, the angular coefficient of this function corresponds to the derivative of a linear function.
The domain of every linear function or any integer is represented by the set R(all numbers), which may be written as (-∞, +∞).
Read more about function
https://brainly.com/question/12431044
#SPJ4
Related Questions
I need help Real quick! ASAP, One/Two Step Equation Word Problems | Define the Variables for each problem.
6) Braden Scored 9 fewer points on his math test than ava did. If av scored an 86, What was Braden's score?
7) Pocket folders are $0.39 each at the store. If Carolyn paid $7.02, how many did she buy?
Answers
Answer:
6) Braden scored 77.
7) Carolyn bought 18 pocket folders.
Step-by-step explanation:
6) 86 - 9 = 77
7) 0.39x = 7.02
step 1- divide both sides by 0.39
x = 18
Answer:
77 and and i willl show you irl rn im just next to your room XD
Step-by-step explanation:
Sort the list A,N,A,L,Y,S,I,S in alphabetical order by Selection sort and Bubble sort. 3. Using limit, compare the order of the growth of functions. a) 4 n
&6 n
b) log 2
n&n 2
c) 100n 2
&log 2
n d) n 2
and 2 n
Answers
The list A, N, A, L, Y, S, I, S can be sorted alphabetically as A, A, I, L, N, S, S, Y using Selection sort and Bubble sort. Comparing the growth of functions, logarithmic growth (log2(n)) is the slowest, followed by linear growth (4n, 6n), quadratic growth (100n^2, n^2), and exponential growth (2^n) being the fastest.
To sort the list A, N, A, L, Y, S, I, S in alphabetical order, let's first go through the steps for both Selection sort and Bubble sort:
Selection sort:
1. Start with the first element of the list.
2. Compare it with each element to its right.
3. If a smaller element is found, swap it with the current element.
4. Move to the next element and repeat steps 2 and 3 until the list is sorted.
Bubble sort:
1. Start at the beginning of the list.
2. Compare each pair of adjacent elements.
3. If they are out of order, swap them.
4. Repeat steps 2 and 3 until no more swaps are needed.
Using Selection sort, the sorted list would be A, A, I, L, N, S, S, Y.
Using Bubble sort, the sorted list would be A, A, I, L, N, S, S, Y.
Now, let's compare the order of growth of the given functions:
a) 4n and 6n:
Both functions have a linear growth rate (O(n)). However, the constant factor of 6 in 6n indicates that it would generally require more operations than 4n for the same input size.
b) log2(n) and n^2:
The function log2(n) has a logarithmic growth rate (O(log n)), while n^2 has a quadratic growth rate (O(n^2)). The logarithmic function grows much slower than the quadratic function.
As the input size increases, the difference in growth rates becomes more significant.
c) 100n^2 and log2(n):
Similar to the previous case, 100n^2 has a quadratic growth rate (O(n^2)), while log2(n) has a logarithmic growth rate (O(log n)). Again, the logarithmic function grows much slower than the quadratic function.
d) n^2 and 2^n:
The function n^2 has a quadratic growth rate (O(n^2)), while 2^n has an exponential growth rate (O(2^n)). The exponential function grows much faster than the quadratic function.
As the input size increases, the difference in growth rates becomes significantly larger.
In summary, the order of growth of the functions from slowest to fastest is: log2(n), 4n, 6n, 100n^2, n^2, log2(n), 2^n.
To know more about Selection sort refer here:
https://brainly.com/question/31608160#
#SPJ11
find the critical value(s) and rejection region(s) for the type of z-test with level of significance . include a graph with your answer. right-tailed test, a=0.03.
Answers
Answer:
c
Step-by-step explanation:
The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88 OR Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
To know more about critical value Visit:
https://brainly.com/question/32607910
#SPJ11
is (, ) = 3 − 32 an harmonic function? if yes, then find a corresponding analytic function ()
Answers
No, f(x, y) = 3x - 3y^2 is not a harmonic function.
A harmonic function is a twice continuously differentiable function f(x, y) that satisfies the Laplace equation:
∂²f/∂x² + ∂²f/∂y² = 0.
Let's check if f(x, y) = 3x - 3y^2 satisfies the Laplace equation:
∂²f/∂x² = ∂/∂x(3) = 0
∂²f/∂y² = ∂/∂y(-6y) = -6
∂²f/∂x² + ∂²f/∂y² = 0 + (-6) = -6 ≠ 0
Since the Laplace equation is not satisfied, f(x, y) = 3x - 3y^2 is not a harmonic function.
As for finding a corresponding analytic function, an analytic function is a function that is locally given by a convergent power series. Since f(x, y) is not a harmonic function, there is no corresponding analytic function.
Read more about harmonic functions at:
https://brainly.com/question/30385079
#SPJ11
pleasseeee helppppppp
Answers
Pls help I give brainliest
Answers
Answer:
c
Step-by-step explanation:
Graph this inequality on the number line.
x<1.8
Answers
Answer:
Since we know it is less than, x will be on the left of 1.8. We also know it is not less than or equal to, so the circle is open.
The graph of x < 1.8 on the number line is given below.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
We have the inequality:
x < 1.8
To draw on the number line:
Let you have taken the line x.
And label the point at 1.8.
And draw the inequality,
with other color line.
Therefore, the graph is given.
To learn more about the inequality;
brainly.com/question/28823603
#SPJ1
an iterative version of a preorder traversal for a binary tree uses a(n)
Answers
An iterative version of a preorder traversal for a binary tree uses a stack.
Preorder traversal of a binary tree is a depth-first traversal algorithm that follows the order: root, left subtree, right subtree. In a recursive implementation, the function would first visit the root, then call itself recursively for the left subtree, and then call itself recursively for the right subtree.
In an iterative implementation, we use a stack to keep track of the nodes we need to visit. We push the root node onto the stack, and then while the stack is not empty, we pop a node from the stack and visit it. If the popped node has a right child, we push the right child onto the stack. If the popped node has a left child, we push the left child onto the stack. By doing so, we ensure that the nodes are visited in the correct order: root, left subtree, right subtree.
Using a stack instead of recursion can be more memory-efficient, since we are not storing all the recursive function calls on the call stack.
Learn more about traversal here
https://brainly.com/question/30000177
#SPJ11
Hey I need some help :)
Would the phrase
“Net Change” mean I would subtract the given numbers? I’m on a post test and I’m a little confused. Please answer if you know.
Answers
Answer:
Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.
e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.
However, if there is no change it would be just 0.
Please help me. ( =___ ) below the last fill in space
Answers
Explanation:
We are asked to get the slope of the graph
To do so, we have to make use of the relationship:
\(\text{slope}=\frac{\text{rise}}{\text{fall}}=\frac{\text{change in y}}{change\text{ in x}}\)From the graph given
We have the following points:
\((1,8)\text{ and (2,4)}\)So we can obtain the slope as follow
\(\text{slope}=\frac{4-8}{2-1}\)Thus, the slope
\(\text{slope}=\frac{-4}{1}\)When radioactive substances decay, the amount remaining will form a geometric sequence when measured over constant intervals of time. The table shows the amount of a radioactive isotope initially and after 2 hours. What are the amounts left after 1 hour, 3 hours, and 4 hours?
Answers
Answer:
Hour elapsed 0 1 2 3 4
Grams 1986 1032.7 537 279.2 145.2
Explanation:
To find the amount left after 1 hour, 3 hours, and 4 hours, we need to find the common ratio.
Since we know the initial amount and the amount left after 2 hours, the ratio of these quantities is the square of the common ratio, so
r² = 537/1986
r² = 0.2704
r = √0.2704
r = 0.52
Then, the amount left after 1 hour is the initial amount multiplied by the common ratio, so
For 1 hour
Amount left = 1986(0.52) = 1032.7 grams
In the same way, the amount left after 3 and 4 hours is
For 3 hours
Amount left = 537(0.52) = 279.2 grams
For 4 hours
Amount left = 279.2(0.52) = 145.2 grams
Therefore, the complete table is
Hour elapsed 0 1 2 3 4
Grams 1986 1032.7 537 279.2 145.2
What is the unit rate of 13/2 pounds per 3/4 quart?
Answers
Answer:
26/3 or 8.66666 (8.6 with a line over the 6)
Step-by-step explanation:
According to the problem, 13/2 pounds is only 3/4 of a quart. A unit rate, however, has a denominator value of 1. To solve this question, we must change the value of 3/4 to 1.
The first step to this is changing 3/4 to 1/4. This means affecting the value 13/2 pounds. 1/4 is a third of 3/4. We must find a third of 13/2 to properly change this relationship. So, we should do 13/2 ÷ 3. This can also be written as 13/2*3. So, a third of 13/2 is 13/6. Our new relationship is 13/6 pounds = 1/4 quart.
Now, we can multiply 13/6 and 1/4 by 4 to get ? and 4/4, or 1. We can multiply the numerator by 4 to finish this step. 13/6 becomes 13*4/6, which equals 52/6. 52/6 can be divided by 2 to simplify the fraction and becomes 26/3.
So, the unit rate of 13/2 pounds per 3/4 quart is 26/3. 26/3 can also be written as 8.66666, or 8.6 with a line over the 6, in decimal form.
The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
Answers
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
Read more about Unit Circle at: https://brainly.com/question/26284611
#SPJ1
The set of ordered pairs a where
t is the time in seconds after
someone jumps out of a plane at
4000 meters to go skydiving, and d
is the displacement above the
ground
I need to find the domain and Range.
Answers
Answer: Domain is \([0,\infty)\) and range is [0,4000].
Step-by-step explanation:
It is given that, the set of ordered pairs (t,d), where
t = the time in seconds after someone jumps out of a plane at 4000 meters to go skydiving
d = is the displacement above the ground.
It means t is independent variable and it is represented on the x-axis.
d is dependent variable and it is represented on the y-axis.
We need to find the domain and Range.
Domain is the set of input values.
Here, input is time and time can not be negative.
Domain \(=0\leq t=[0,\infty)\)
Range is the set of output values.
Here, output is displacement above the ground which can not be negative or more than 4000 meters.
Range \(=0\leq d\leq 4000=[0,4000]\)
Therefore, domain is \([0,\infty)\) and range is [0,4000].
the forest data are from kdd.ics.uci.edu/databases/covertype/covertype.data.html (blackard, 1998). they consist of a subset of the measurements from 581,012 30×30m cells from region 2 of the u.s. forest service resource information system. the original data were used in a data mining application, predicting forest cover type from covariates. data-mining methods are often used to explore relationships in very large data sets; in many cases, the data sets are so large that statistical software packages cannot analyze them. many data-mining problems, however, can be alternatively approached by analyzing probability samples from the population. in these exercises, we treat forest as a population. select an srs of size 2000 from the 581,012 records. set 710 as the random number seed you used to generate the sample. (1pt) using your srs sample in part a), estimate the percentage of cells in each of the 7 forest cover types, along with 95% cis. (3.5pts) estimate the average elevation in the population, with 95% ci. (1.5pts)
Answers
In this exercise, a subset of data from the U.S. Forest Service Resource Information System is used to explore relationships and predict forest cover type.
A simple random sample (SRS) of size 2000 is selected from the original dataset of 581,012 records. Using this SRS sample, the percentage of cells in each of the 7 forest cover types is estimated, along with 95% confidence intervals (CIs). Additionally, the average elevation in the population is estimated, also with a 95% CI.
For estimating the percentage of cells in each forest cover type, the SRS sample of size 2000 is analyzed. The proportion of cells belonging to each cover type is calculated, and 95% confidence intervals are constructed using appropriate statistical methods. These confidence intervals provide a range of values within which we can be 95% confident that the true percentage of cells in each cover type lies.
To estimate the average elevation in the population, the SRS sample is used to calculate the sample mean elevation. The sample mean serves as an estimate of the population mean elevation. A 95% confidence interval is constructed around this sample mean, indicating a range of values within which we can be 95% confident that the true population mean elevation lies.
Both the estimation of forest cover types and average elevation involve using statistical techniques to provide point estimates and confidence intervals. These estimates and intervals help us understand the characteristics of the population based on the information obtained from the SRS sample.
To know more about confidence intervals visit:
brainly.com/question/32546207
#SPJ11
Solve. x/4 + ½ = 1/8
x = ____ (Simplify your answer.)
Answers
Answer:
\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)
\( \frac{x}{4} = - \frac{3}{8} \)
\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.
x/4 + 1/2 = 1/8
Take the 1/2 term on the other side,
x/4=1/8 - 1/2
Taking the LCM on the Right side,
x/4 = (1-4) / 8
x/4 = -3/8
Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,
x = ( -3/8) * 4
x = -3/2
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Learn more about the Linear Equations:
https://brainly.com/question/19803308
the best source for numerical data about life in the united states is
Answers
The best source for numerical data about life in the United States is the U.S. Census Bureau. The Census Bureau is responsible for collecting and analyzing data related to various aspects of life in the country, including population, economy, and demographics.
Firstly, the United States Census Bureau is a reliable source for various types of demographic and economic data. They conduct a national census every ten years and also provide regular surveys and reports on population, housing, employment, and other relevant topics. Another source for statistical data is the Bureau of Labor Statistics, which collects and publishes information on employment, wages, productivity, and other labor-related metrics.
The Census Bureau conducts surveys and gathers data every ten years through the decennial census, as well as through other sources such as the American Community Survey and the Current Population Survey. This information provides valuable insights for policymakers, researchers, and the general public. Their comprehensive data sets cover a wide range of topics and are frequently updated to reflect changes in the country's population and demographics.
To know more about demographics visit:-
https://brainly.com/question/13146758
#SPJ11
4. using the data from problem 3, create a 95 percent confidence interval for the ratio of the variances. please use 1 decimal place in your answer. at the 95 percent confidence level, is there a difference in the population variances of the two processes? please justify your answer.
Answers
For the population variance the confidence interval of 95% with standard deviation s = 17 is equal to (176.22, 559.35).
Sample standard deviation s = 17
sample size 'n' = 25
population variance= o2
To construct a confidence interval for the population variance,
Use the chi-square distribution,
The formula for the confidence interval is,
((n-1) × s^2)/chi2(a/2, n-1) ≤ o^2 ≤ ((n-1) × s^2)/chi2(1-a/2, n-1)
where chi-square(a/2, n-1) and chi-square(1-a/2, n-1) are the chi-square values for the given significance level a and degrees of freedom (n-1).
Substituting the given values, we get,
((25-1) × 17^2)/chi2(0.025, 24) ≤ o^2 ≤ ((25-1) × 17^2)/chi2(0.975, 24)
Calculating the chi-square values using a chi-square distribution attached table ,we get,
((24) × 17^2)/39.36 ≤ o^2 ≤ ((24) ×17^2)/12.40
Simplifying the expressions, we get,
176.22 ≤ o^2 ≤ 559.35
Therefore, the 95% confidence interval for the population variance is (176.22, 559.35).
learn more about population variance here
brainly.com/question/14880145
#SPJ4
The given question is incomplete, I answer the question in general according to my knowledge:
Construct a 95% confidence interval for the population variance o2 if a sample of size 25 has standard deviation s = 17. Round the answers to two decimal places. The 95% confidence interval
Apply the distributive property to the expression 9(6m-4n). DO NOT SYMPLIFY.
Answers
Answer:
54m-36n
Step-by-step explanation:
9·6m= 54m
9·(-4n)= -36n
54m-36n
The graph shows the distance a car is driven for each gallon of gas used.

* Does the graph represent a proportional relationship? Explain your answer.
* How many miles can be driven using 5.5 gallons of gas?
* Use the graph to explain how you found the number of miles that can be driven using 5.5 gallons of gas.
Answer all parts to recieve full credit for this question
Answers
Answer:
Step-by-step explanation:
See attachment
what do these binders cost
Answers
Step-by-step explanation:
That's it bro hope it helps you
If a is an odd number, b an even number, and c an odd number, which expression will always be equivalent to an odd number?
Answers
a + c
a - c
c + a
c - a
a + c
a - c
c + a
c - a
In all of these expressions, the sum or difference of two odd numbers is always an odd number, so the result will always be an odd number.
On the other hand, the following expressions will always be equivalent to an even number:
a + b
a - b
b + a
b - a
a + b
a - b
b + a
b - a
In all of these expressions, the sum or difference of an odd number and an even number is always an even number, so the result will always be an even number.
If the circumference of a circle is 62.8 feet, what is the radius of the circle
Use 3.14 for pie
Answers
Answer:
\(62.8 = 3.14 \times x \\ x = \frac{62.8}{3.14} \\ = 20\)
what is the measure of one angle in a regular 24-gon?
Answers
Answer:165degrees
Step-by-step explanation
Use formula N-2 × 180 N is the number of sides
24-2=22
22x180=3960 total
for each angle divide total by 24=165 degrees
Please help me with those 2 question!
Answers
Answer:
1
Step-by-step explanation:
Find the abscissa on the curve x2=2y which is nearest
to a
point (4, 1).
Answers
The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).
Given the equation x^2 = 2y.
The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:
To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].
Now we need to find the value of x that will minimize this expression.
We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.
Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T
he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).
The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).
To know more about abscissa visit:
brainly.com/question/32034993
#SPJ11
if 19 fish are randomly selected, what is the probability that the mean weight will be between 16.1 and 20.6 lb?
Answers
To find the probability that the mean weight of 19 fish is between 16.1 and 20.6 lb, you would need to know the distribution of the weights of the individual fish. If the weights of the fish are normally distributed with a mean of 18.4 lb and a standard deviation of 2.5 lb, then you can use a normal distribution to find the probability that the mean weight of the 19 fish falls in the specified range.
How does probability work exactly?
Probability is calculated by dividing the total possible outcomes by the number of outcomes that are theoretically possible. Probability differs from odds in this regard. Calculating odds involves dividing the likelihood of a particular event by the likelihood that it won't occur.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ4
Help pls idk how to do this idk if i will set it up right
Answers
Answer:
3(-10.5)
Step-by-step explanation:
Answer:
3(-10.5)
Step-by-step explanation:
how can i ask a tutor something ????
Answers
Answer go to ask quastion
Step-by-step explanation:
go to ask quaiatsom
Briefly describe the criterion used to obtain the ordinary least square estimator.
Answers
The criterion used to obtain the ordinary least square (OLS) estimator is to minimize the sum of the squared differences between the observed values and the predicted values.
In OLS, the goal is to find the line that best fits the given data points. The estimator minimizes the sum of the squared residuals, which are the differences between the observed values and the predicted values. The squared residuals are used to ensure that both positive and negative differences contribute to the overall error measure.
The OLS estimator achieves this by calculating the coefficients of the linear regression model that minimize the sum of the squared residuals. It finds the intercept and slope of the line that minimizes the total squared distance between the data points and the regression line. This minimization process is based on the principle of least squares, which aims to find the best-fitting line by minimizing the overall error.
By minimizing the sum of the squared residuals, the OLS estimator provides a measure of how well the regression line represents the data points. It allows for the determination of the line's slope and intercept, which can be used for predicting values and understanding the relationship between the variables.
Learn more about coefficients here: brainly.com/question/13431100
#SPJ11