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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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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.
Transcribed Image Text: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)
Transcribed Image Text: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)
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