Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle. (a) Use two rectangles. (b) Use four rectangles. (c) Use a graphing calculator (or other technology) and 40 rectangles. f(x) = 3+x?;[-1,1

Calculus: Early Transcendentals
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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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Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of
the rectangle.
(a) Use two rectangles.
(b) Use four rectangles.
(c) Use a graphing calculator (or other technology) and 40 rectangles.
f(x) = 3+x; [-1,1]
(a) The approximated area when using two rectangles is
(Type an integer or decimal rounded to two decimal places as needed.)
square units.
Transcribed Image Text:Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle. (a) Use two rectangles. (b) Use four rectangles. (c) Use a graphing calculator (or other technology) and 40 rectangles. f(x) = 3+x; [-1,1] (a) The approximated area when using two rectangles is (Type an integer or decimal rounded to two decimal places as needed.) square units.
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