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.)
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.)
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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
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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