4. Consider the region below f(x) = (7 – x), above the x-axis, and between x = 0 and x =7. Let x¡ be the midpoint of the ith subinterval. Complete parts a. and b. below. a. Approximate the area of the region using seven rectangles. Use the midpoints of each subinterval for the heights of the rectangles. The area is approximately square units. (Type an integer or decimal.) b. Find (7- x) dx by using the formula for the area of a triangle. 7 fo-na. x) dx = (Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 58E
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4.
Consider the region below f(x) = (7 – x), above the x-axis, and between x = 0 and x =7. Let x¡ be the midpoint of the ith
subinterval. Complete parts a. and b. below.
a. Approximate the area of the region using seven rectangles. Use the midpoints of each subinterval for the heights of the
rectangles.
The area is approximately
square units. (Type an integer or decimal.)
7
b. Find
(7 – x) dx by using the formula for the area of a triangle.
7
- x) dx =
(Simplify your answer.)
Transcribed Image Text:4. Consider the region below f(x) = (7 – x), above the x-axis, and between x = 0 and x =7. Let x¡ be the midpoint of the ith subinterval. Complete parts a. and b. below. a. Approximate the area of the region using seven rectangles. Use the midpoints of each subinterval for the heights of the rectangles. The area is approximately square units. (Type an integer or decimal.) 7 b. Find (7 – x) dx by using the formula for the area of a triangle. 7 - x) dx = (Simplify your answer.)
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