75 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, $V = int_0^{75} 46 cdot d(x) , dx$. 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 $ft^3$. (Round to the nearest integer as needed.)
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.., 15\) using the given depths: \(B(x_0) = 45\) \(B(x_1) = 50\) \(B(x_2) = 72\) \(B(x_3) = 8.2\) \(B(x_4) = 8.9\) \(B(x_5) = 9.5\) \(B(x_6) = 10.5\) \(B(x_7) = 10.9\) \(B(x_8) = 11.3\) \(B(x_9) = 11.7\) \(B(x_{10}) = 12.1\) \(B(x_{11}) = 12.4\) \(B(x_{12}) = Show more…
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