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Find an approximation of the area of the region R under the graph of the function f on the interval [0,2]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. f(x) = x²+4 square units Let f(x) = 6 - 2x (a) Sketch the region R under the graph of f on the interval [0,3]. Find its exact area using geometry. square units (b) Use a Riemann sum with five subintervals of equal length (n = 5) to approximate the area of R. Choose the representative points to be the left endpoints of the subintervals. square units (c) Repeat part (b) with ten subintervals of equal length (n = 10). square units

Find an approximation of the area of the region R under the graph of the function f on the interval [0,2]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. f(x) = x²+4 square units Let f(x) = 6 - 2x (a) Sketch the region R under the graph of f on the interval [0,3]. Find its exact area using geometry. square units (b) Use a Riemann sum with five subintervals of equal length (n = 5) to approximate the area of R. Choose the representative points to be the left endpoints of the subintervals. square units (c) Repeat part (b) with ten subintervals of equal length (n = 10). square units

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.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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Find an approximation of the area of the region R under the graph of the function f on the interval [0,2]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. f(x) = x²+4 square units
Transcribed Image Text:Find an approximation of the area of the region R under the graph of the function f on the interval [0,2]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. f(x) = x²+4 square units
Let f(x) = 6 - 2x (a) Sketch the region R under the graph of f on the interval [0,3]. Find its exact area using geometry. square units (b) Use a Riemann sum with five subintervals of equal length (n = 5) to approximate the area of R. Choose the representative points to be the left endpoints of the subintervals. square units (c) Repeat part (b) with ten subintervals of equal length (n = 10). square units
Transcribed Image Text:Let f(x) = 6 - 2x (a) Sketch the region R under the graph of f on the interval [0,3]. Find its exact area using geometry. square units (b) Use a Riemann sum with five subintervals of equal length (n = 5) to approximate the area of R. Choose the representative points to be the left endpoints of the subintervals. square units (c) Repeat part (b) with ten subintervals of equal length (n = 10). square units
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