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...

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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
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