Question
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
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.
y=x22?,between x=1 and x=5 for? (a) n=?4, ?(b)n=8
?(a) The approximate area under the curvey=x22? for n=4 rectangles is ______.
?(Round to three decimal places as? needed.)
?(b) The approximate area under the curvey=x22? for n=8 rectangles is _____.
?(Round to four decimal places as? needed.)
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. 2 y= 7, between x= 1 and x=5tor (a) n=4, (b) n=8 x 2 (a) The approximate area under the curve y = 2 for n = 4 rectangles is 0.927. x (Round to three decimal places as needed.) (b) The approximate area under the curve y = 2 for n = 8 rectangles is 1.1991 . x (Round to four decimal places as needed.)Step by Step Solution
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