A rectangular swimming pool is 36 ft wide by 75 ft long. The table gives depths (d) from x = 0 at the shallow end to the diving end. Use the Trapezoidal Rule with n = 15 to estimate the volume of the pool, V = ?(0 to 75) 36 ? d(x) dx. x | 0 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 | 65 | 70 | 75 d | 5 | 7.2 | 8.2 | 8.9 | 9.5 | 10 | 10.5 | 10.9 | 11.3 | 11.7 | 12.1 | 12.4 | 12.7 | 13.1 | 13.4 | 13.7 The volume of the pool is [] ft3. (Round to the nearest integer as needed.)
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We need to estimate the volume of a section of a swimming pool using the Trapezoidal Rule. The section is between x = 45 ft and x = 65 ft, and the pool is 36 ft wide. The depths at various points along the length are given in the table. Show more…
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A rectangular swimming pool is 36 ft wide by 75 ft long. The table gives depths (d) from x = 0 at the shallow end to the diving end. Use the Trapezoidal Rule with n = 15 to estimate the volume of the pool, V = ∫[0 to 75] 36 ∙ d(x) dx. The volume of the pool is ft³. (Round to the nearest integer as needed.)
Gregory H.
A rectangular swimming pool is 36 ft wide by 75 ft long. The table gives depths (d) from x = 0 at the shallow end to the diving end. Use the Trapezoidal Rule with n = 15 to estimate the volume of the pool. The volume of the pool (Round the nearest integer as needed)
Madhur L.
A rectangular swimming pool is 46 ft wide by 75 ft long. The table gives depths (d) from x = 0 at the shallow end to the diving end. Use the Trapezoidal Rule with n = 15 to estimate the volume of the pool, V = ∫ 46 · d(x) dx. x 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 d 5 7.2 8.2 8.9 9.5 10 10.5 10.9 11.3 11.7 12.1 12.4 12.7 13.1 13.4 13.7 The volume of the pool is (Round to the nearest integer as needed)
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