Question

Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n = 4. f(x) = -x\textsuperscript{2} + 6 from x = -2 to x = 2 (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts (a) and (b) (d) Use midpoints. (a) The area, approximated using the left endpoints, is

          Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n = 4.
f(x) = -x\textsuperscript{2} + 6 from x = -2 to x = 2
(a) Use left endpoints.
(b) Use right endpoints.
(c) Average the answers in parts (a) and (b)
(d) Use midpoints.
(a) The area, approximated using the left endpoints, is

Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n = 4.
f(x) = -x2 + 6 from x = -2 to x = 2
(a) Use left endpoints.
(b) Use right endpoints.
(c) Average the answers in parts (a) and (b)
(d) Use midpoints.
(a) The area, approximated using the left endpoints, is

Added by Larry B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kathleen Carty

07/09/2023

Step 1

The width of each subinterval is (2-(-2))/4 = 1. Show more…

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Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n=4. f(x)=-x^2+6 from x=-2 to x=2 (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts (a) and (b) (d) Use midpoints. (a) The area, approximated using the left endpoints, is