Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

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When creating a right-endpoint Riemann sum on the interval [-62.3, 253.9] using 44 rectangles, the 10th endpoint used to calculate the height of the approximating rectangle would be a. 217.5909 b. 9.5636 c. 253.9 d. -62.3 e. 82.4273
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Transcribed Image Text:When creating a right-endpoint Riemann sum on the interval [-62.3, 253.9] using 44 rectangles, the 10th endpoint used to calculate the height of the approximating rectangle would be a. 217.5909 b. 9.5636 c. 253.9 d. -62.3 e. 82.4273
100 100 Suppose that Σ α; = -19.2 and Σ9 b; = -6. Then what is i=1 Ο a. -33.6000 Ο b. -12.2000 Ο c. c. 36.60 d. -1 Ο e. -79.60 100 Σ3a; – 4bi i=1
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Transcribed Image Text:100 100 Suppose that Σ α; = -19.2 and Σ9 b; = -6. Then what is i=1 Ο a. -33.6000 Ο b. -12.2000 Ο c. c. 36.60 d. -1 Ο e. -79.60 100 Σ3a; – 4bi i=1
Expert Solution
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Step 1: 10th endpoint of Riemann sum.

Width of each rectangle

            equals increment x equals fraction numerator b minus a over denominator n end fraction equals fraction numerator 253.9 minus left parenthesis negative 62.3 right parenthesis over denominator 44 end fraction equals fraction numerator 316.2 over denominator 44 end fraction equals 7.18636

Right endpoint of i to the power of t h end exponent rectangleequals a plus increment x times i

                                                 equals negative 62.3 plus 7.18636 cross times i

10th endpoint

       equals negative 62.3 plus 7.18636 cross times 10 equals negative 62.3 plus 71.86 equals 9.5636

Option b is correct.

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