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10 Nov 2019
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Integrate the given function. (Type an exact answer. Use C as the arbitrary constant.) Integrate the function. (Use C as the arbitrary constant.) Evaluate. The solution is (Use C as the arbitrary constant.) Three results for finding the area under the curve y = 3x, between x = 0 and x = 3, are shown below. The result found by dividing the interval into 10 subintervals and then adding up the areas of the inscribed rectangles is 12.15. The result found by dividing the interval into 10 subintervals and then adding up the areas of the circumscribed rectangles is 14.85. The exact result found by evaluating the antiderivative at the bounds is 13.5. Why is the mean of the sums of the inscribed rectangles and circumscribed rectangles equal to the exact value? 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 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 = 4/x2, between x = 1 and x = 5 for (a) n = 4, (b) n = 8 The approximate area under the curve y = 4/x2 for n=4 rectangles is . (Round to three decimal places as needed.) The approximate area under the curve y = 4/x2 for n = 8 rectangle is . (Round to four decimal places as needed.)
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Integrate the given function. (Type an exact answer. Use C as the arbitrary constant.) Integrate the function. (Use C as the arbitrary constant.) Evaluate. The solution is (Use C as the arbitrary constant.) Three results for finding the area under the curve y = 3x, between x = 0 and x = 3, are shown below. The result found by dividing the interval into 10 subintervals and then adding up the areas of the inscribed rectangles is 12.15. The result found by dividing the interval into 10 subintervals and then adding up the areas of the circumscribed rectangles is 14.85. The exact result found by evaluating the antiderivative at the bounds is 13.5. Why is the mean of the sums of the inscribed rectangles and circumscribed rectangles equal to the exact value? 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 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 = 4/x2, between x = 1 and x = 5 for (a) n = 4, (b) n = 8 The approximate area under the curve y = 4/x2 for n=4 rectangles is . (Round to three decimal places as needed.) The approximate area under the curve y = 4/x2 for n = 8 rectangle is . (Round to four decimal places as needed.)
Deanna HettingerLv2
28 Jan 2019