16. Follow (and show proof) of each step below to estimate the area under the curve f(x) = 3 cos x from x = 0 to x = using approximating rectangles and right endpoints. a) Sketch the curve and the approximating rectangles on the grid provided. b) Show the length and the width values for each of the four rectangles areas calculated. c) Fill in the blanks. Write answer in exact form. i. The approximate area is ii. Is this approximation and over or under estimate?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 9E
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16. Follow (and show proof) of each step below to estimate the area under the curve f(x) = 3 cos x
using approximating rectangles and right endpoints.
2
from x = 0 to x =
a) Sketch the curve and the approximating rectangles on the grid provided.
b) Show the length and the width values for each of the four rectangles areas calculated.
c) Fill in the blanks.
i. The approximate area is
ii. Is this approximation and over or under estimate?
Write answer in exact form.
Transcribed Image Text:16. Follow (and show proof) of each step below to estimate the area under the curve f(x) = 3 cos x using approximating rectangles and right endpoints. 2 from x = 0 to x = a) Sketch the curve and the approximating rectangles on the grid provided. b) Show the length and the width values for each of the four rectangles areas calculated. c) Fill in the blanks. i. The approximate area is ii. Is this approximation and over or under estimate? Write answer in exact form.
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