Use finite approximation to estimate the area under the graph of f(x) = 4x² and above the graph of f(x) = 0 from x = 0 to x₁ = 10 using i) a lower sum with two rectangles of equal width. ii) a lower sum with four rectangles of equal width. iii) an upper sum with two rectangles of equal width. iv) an upper sum with four rectangles of equal width. The estimated area using a lower sum with two rectangles of equal width is (Simplify your answer. Type an integer or a decimal.) square units.

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
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Use finite approximation to estimate the area under the graph of f(x) = 4x² and above the graph of f(x) = 0 from x = 0 to x₁ = 10 using
i) a lower sum with two rectangles of equal width.
ii) a lower sum with four rectangles of equal width.
iii) an upper sum with two rectangles of equal width.
iv) an upper sum with four rectangles of equal width.
The estimated area using a lower sum with two rectangles of equal width is
(Simplify your answer. Type an integer or a decimal.)
square units.
Transcribed Image Text:Use finite approximation to estimate the area under the graph of f(x) = 4x² and above the graph of f(x) = 0 from x = 0 to x₁ = 10 using i) a lower sum with two rectangles of equal width. ii) a lower sum with four rectangles of equal width. iii) an upper sum with two rectangles of equal width. iv) an upper sum with four rectangles of equal width. The estimated area using a lower sum with two rectangles of equal width is (Simplify your answer. Type an integer or a decimal.) square units.
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