For the function below, approximate the area under the curve on the specified interval as directed.f(x) = x - 5 on [0, 4] with 4 subintervals of equal width and midpoints for sample pointsStep 1 of 4Observe that f(x) is continuous on [0, 4]. We can find the area under the curve by first partitioning [0, 4] intoь — а4 segments of equal length using the formula Ax =where a, b are the endpoints of the interval and nis the number of rectangles used in the approximation.Find Ax for the given function.5 - a4 - 0Ax =4Thus, the partitioned intervals are which of the following?P[0, 1], [1, 2], [2, 3], [3, 4].11O10,33O 0,1341. Step 2 of 4Since we are using midpoints, the sample x-value of the first partition, x,,, isa + (a + Ax)X, =22a + Ax0 + 121/2%3DUsing Ax and x,, find the other three sample x-values in their corresponding partitions.X2 = x, + Ax =X3 = X, + Ax =X4 = X, + Ax =SubmitSkip (you cannot come back)

Answered: Using Ax and X, find the other three…

Using Ax and X, find the other three sample x-values in their corresponding partitions. X2 = x, + Ax = %3D X3 = x, + Ax = %3D %3D X4 = X, + Ax = %3D

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: The average fruit fly will lay 400 eggs into rotting fruit. A biologist wants to see if the average…

A: From the provided information, Sample size (n) = 12 Level of significance (α) = 0.05

Q: Q6. In a drug trial, 50 patients (samples) are divided into two groups (Group A and Group B) to…

A: Age (x) x-x¯2 32 150.7984 42 5.1984 31 176.3584 63 350.4384 48 13.8384 30 203.9184 57…

Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

Q: fly will lay 402 éggs into rotting fruit. A biologist wants to see if the average will change for…

A: Given sample data is: 406, 432, 401, 410, 410, 406, 419, 412, 388, 409, 427, 405, 391, 389. Sample…

Q: A healthcare provider monitors the number of CAT scans performed each month in each of its clinics.…

A: Solution-: We have following data: 2.31, 2.09, 2.36, 1.95, 1.98, 2.25, 2.16, 2.07, 1.88, 1.94, 1.97,…

Q: XF[80, 70, 80, 78, 81, 75, 77, 74, 77, 68] Ex, = 760 ; Ex = 57.928

A: Given, Xi = [80, 70, 80, 78, 81, 75, 77, 74, 77, 68] ∑Xi = 760∑Xi2 = 57.928 N = 10 To find,…

Q: The data set represents the number of eggs produced by a small group of chickens each day for ten…

A: The questions is to find the average number of eggs produced in a day

Q: he average fruit fly will lay 401 eggs into rotting fruit. A biologist wants to see if the average…

Q: uvenile ground squirrels respond to predators by making “alarm calls” that can alert others to…

A: Expected Value = [(Row total x Column total)/Grand total]

Q: Anya gathered a random sample of chips from a popular company. She calculated data on different…

A: Given that Arya gathered a random sample of chips from a popular company and for the data collected,…

Q: The average fruit fly will lay 415 eggs into rotting fruit. A biologist wants to see if the average…

A: From the data given: x¯=∑xn=513412=427.83s=14.8007 n=12 a) For this study, we should use t-test…

Q: Middle school students and high school students were randomly surveyed about whether they prefer…

Q: The ages (in years) and weights (in pounds) of all wide receivers for a football team are listed.…

A: The coefficient of variation is the sample standard deviation divided by the sample mean. The higher…

Q: Use the given minimum and maximum data entries, and the number of classes, to find the class width,…

A: Formula to find class width : Class width = Maximum - Minimum Number of classes

Q: In each of 15 consecutive years, 1000 high school completers were randomly selected and the number…

A: To find the values for the centerline, upper control limit (UCL), and lower control limit (LCL) for…

Q: Find the variance of X X: 73,51,73,182,45,90,111

Q: Use data set mosquitoes.txt Download mosquitoes.txt. Researchers were interested in determining…

A: we need to perform a statistical analysis, such as a t-test, to compare the change in activation…

Q: normal. 362, 395, 367, 389, 403, 374, 378, 404, 362, 399, 382, 383, 399, 406, 386, 390 What can be…

A: Answer Given,362,395,367,389,403,374,378,404,362,399,382,383,399,406,386,390The sample size[n] =16We…

Q: Determine whether r is positive, negative, or zero for each of the following data sets. Q Ⓡ ∞∞o (a)…

Q: The average fruit fly will lay 407 eggs into rotting fruit. A biologist wants to see if the average…

A: Answer Given 417,435,426,414,435,414,405,439,414,424,419,429,405,433,391,406 sample size [n] = 16…

Q: Consider the following data: 2,3, 4, 5, 6 P(X-x) 0.1, 0.3, 0.3, 0.1, 0.2 Find the value of P(X>4)

A: Answer: From the given data, X 2 3 4 5 6 P(X) 0.1 0.3 0.3 0.1 0.2

Q: The flu shot for a flu season is created from four strains of the flu virus, named Strain A, B, C,…

Q: please give answers of b,c

A: The data on 25 respondents from group A is given by : Age (x) 32 42 31 63 48 30 57…

Q: Juvenile ground squirrels respond to predators by making “alarm calls” that can alert others to…

Q: The average fruit fly will lay 408 eggs into rotting fruit. A biologist wants to see if the average…

A: 1. In this case the population distribution is normal and the population standard deviation is not…

Q: The average fruit fly will lay 424 eggs into rotting fruit. A biologist wants to see if the average…

Q: Examine the change of the function and draw its graph: 2x-1 y =

A: Given: The function in x is given, y=2x-1x3ex-1x Objective is to find the change of…

Q: The number of mistakes made on a typing test is Normally distributed. Five office employees---Kelly,…

A: On observing the z-score, Stanley made the least mistakes on the typed test because his z-score is…

Q: Give the expected value and standard deviation of p. Expected value, Hp = Round your answer to 2…

A: We want to find the mean and standard deviation and probability

Q: Miles per Gallon 28 a. Show tabular computations here b. Show complete solution of the sample…

A: Given that X Y 30 28 50 25 40 25 55 23 30 30 25 32 60 21 25 35 50 26 55 25

Q: Identify the population(s): All individuals who take the medication. The proportion of those who…

A: Here the population will be all the individuals who take the medication. Variable being examined for…

Q: It is thought that basketball teams that make too many fouls in a game tend to lose the game even if…

A: We have given that x be the number of fouls more than (i.e., over and above) the opposing team. Let…

Q: The average fruit fly will lay 375 eggs into rotting fruit. A biologist wants to see if the average…

A: Given, Sample size = 15 The objective is to test the given claim.

Q: Waiting times (in minutes) of customers at a bank where all customers enter a single waiting line…

A: The given data is , waiting time of bank A waiting time of bank B 6.5 4.3 6.6 5.4 6.7…

Q: Calculate coefficient of variation and Karl Person's coefficient of skewness from the data given…

A: Solution is given:

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

100%

For the function below, approximate the area under the curve on the specified interval as directed.
f(x) = x - 5 on [0, 4] with 4 subintervals of equal width and midpoints for sample points
Step 1 of 4
Observe that f(x) is continuous on [0, 4]. We can find the area under the curve by first partitioning [0, 4] into
ь — а
4 segments of equal length using the formula Ax =
where a, b are the endpoints of the interval and n
is the number of rectangles used in the approximation.
Find Ax for the given function.
5 - a
4 - 0
Ax =
4
Thus, the partitioned intervals are which of the following?
P[0, 1], [1, 2], [2, 3], [3, 4].
11
O10,
3
3
O 0,
13
4
1.

Step 2 of 4
Since we are using midpoints, the sample x-value of the first partition, x,,, is
a + (a + Ax)
X, =
2
2a + Ax
0 + 1
2
1/2
%3D
Using Ax and x,, find the other three sample x-values in their corresponding partitions.
X2 = x, + Ax =
X3 = X, + Ax =
X4 = X, + Ax =
Submit
Skip (you cannot come back)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

d and e only
Answer asap
The average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 367, 374, 364, 388, 407, 369, 375, 362, 403, 383, 381, 391, 371 What can be concluded at the the αα = 0.10 level of significance level of significance? The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
Let x represents even numbers from 0 to 100 and y represents odd numbers from 1 to 100, Write a program in R program represent the data of x & y and print the values of x are odd numbers and y are the to even numbers ?
A dataset has an average of 4/3. There are 50 elements in the dataset. What is the total of the dataset?
q4
The average fruit fly will lay 375 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 379, 406, 378, 394, 369, 369, 402, 383, 367, 357, 401, 407, 357, 394, 367 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: H1: C. The test statistic (please show your answer to 3 decimal places.) d. The p-value (Please show your answer %D to 4 decimal places.)
A food quality inspector records the freezer temperature of a random sample offreezers from 11 supermarkets and record the temperatures (in degrees Celsius) as follows−12, −16, 0, −4, 5, − 9, − 9, − 7, − 5, 3, − 10Evaluate the interquartile range for this data.
A certain drug causes liver damage in 15% of patients. Suppose the drug is to be tested on 120 patients. Let: X = the number of patients who experienced liver damage from the drug. sample proportion of patients who experienced liver damage from the drug. 120
Swifty produces 5-foot USB cables. During the past year, the company purchased 215,000 feet of plastic-coated wire at a price of $0.40 per foot. The direct materials standard for the cables allows 6 feet of wire at a standard price of $0.45 per foot. During the year, the company used a total of 245,000 feet of wire to produce 42,000 5-foot cables.Calculate Swifty’s direct materials quantity variance for the year. Direct material quantity variance $ Is this favorable or not?