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Consider the region below f(x) = (12 − x), above the x-axis, and between x = and x = 12. Let x; be the midpoint of the ith subinterval. Complete parts a. an b. below. a. Approximate the area of the region using twelve rectangles. Use the midpoints of each subinterval for the heights of the rectangles. The area is approximately square units. (Type an integer or decimal.)

Consider the region below f(x) = (12 − x), above the x-axis, and between x = and x = 12. Let x; be the midpoint of the ith subinterval. Complete parts a. an b. below. a. Approximate the area of the region using twelve rectangles. Use the midpoints of each subinterval for the heights of the rectangles. The area is approximately square units. (Type an integer or decimal.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.1: Numerical Integration
Problem 13E
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Consider the region below f(x) = (12− x), above the x-axis, and between x = = 0 and x = 12. Let x; be the midpoint of the ith subinterval. Complete parts a. and b. below. a. Approximate the area of the region using twelve rectangles. Use the midpoints of each subinterval for the heights of the rectangles. The area is approximately square units. (Type an integer or decimal.)
Transcribed Image Text:Consider the region below f(x) = (12− x), above the x-axis, and between x = = 0 and x = 12. Let x; be the midpoint of the ith subinterval. Complete parts a. and b. below. a. Approximate the area of the region using twelve rectangles. Use the midpoints of each subinterval for the heights of the rectangles. The area is approximately square units. (Type an integer or decimal.)
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Consider the region below f(x) = (12− x), above the x-axis, and between x = 0 and x = 12. Let x; be the midpoint of the ith subinterval. Complete parts a. and b. below. a. Approximate the area of the region using twelve rectangles. Use the midpoints of each subinterval for the heights of the rectangles. The area is approximately 72 square units. (Type an integer or decimal.) 12 b. Find (12-x) dx by using the formula for the area of a triangle. 12 S (12-x) dx = (Simplify your answer.)
Transcribed Image Text:Consider the region below f(x) = (12− x), above the x-axis, and between x = 0 and x = 12. Let x; be the midpoint of the ith subinterval. Complete parts a. and b. below. a. Approximate the area of the region using twelve rectangles. Use the midpoints of each subinterval for the heights of the rectangles. The area is approximately 72 square units. (Type an integer or decimal.) 12 b. Find (12-x) dx by using the formula for the area of a triangle. 12 S (12-x) dx = (Simplify your answer.)
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