Find the approximate area under the curve of the given equation by dividing the indicated intervals into n subintervals and then add up the areas of the inscribed rectangles. There are two values of n and therefore two approximations for the area. The height of each rectangle may be found by evaluating the function for the proper value of x. 10 %3D ,between x = 1 and x = 5 for (a) n= 4, (b) n 8 ..... (a) The approximate area under the curve y = 10 for n = 4 rectangles is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Find the approximate area under the curve of the given equation by dividing the indicated intervals into n subintervals and then add up the areas of the inscribed
rectangles. There are two values of n and therefore two approximations for the area. The height of each rectangle may be found by evaluating the function for the
proper value of x.
10
y=
between x =1 and x 5 for (a) n = 4, (b) n = 8
2
(a) The approximate area under the curve y =
10
for n=4 rectangles is
(Round to three decimal places as needed.)
Transcribed Image Text:Find the approximate area under the curve of the given equation by dividing the indicated intervals into n subintervals and then add up the areas of the inscribed rectangles. There are two values of n and therefore two approximations for the area. The height of each rectangle may be found by evaluating the function for the proper value of x. 10 y= between x =1 and x 5 for (a) n = 4, (b) n = 8 2 (a) The approximate area under the curve y = 10 for n=4 rectangles is (Round to three decimal places as needed.)
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