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Water in a tank will flow out of a small hole in the bottom faster when the tank is nearly full than when it is nearly empty. According to Torricelli's Law, the height h(t) of water remaining at time t is a quadratic function of t. A certain tank is filled with water and allowed to drain. The height of the water is measured at different times as shown in the table. Time (min) Height (ft) 5.0 4 3.1 1.9 12 0.8 16 0.2 (a) Find the quadratic polynomial that best fits the data. (Round all numerical values to five decimal places.) h(e) = (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. 10 15 20 10 15 10 15 10 15 (c) Use your graph from part (b) to estimate how long it takes for the tank to drain completely. (Round your answer to one decimal place.) min

Water in a tank will flow out of a small hole in the bottom faster when the tank is nearly full than when it is nearly empty. According to Torricelli's Law, the height h(t) of water remaining at time t is a quadratic function of t. A certain tank is filled with water and allowed to drain. The height of the water is measured at different times as shown in the table. Time (min) Height (ft) 5.0 4 3.1 1.9 12 0.8 16 0.2 (a) Find the quadratic polynomial that best fits the data. (Round all numerical values to five decimal places.) h(e) = (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. 10 15 20 10 15 10 15 10 15 (c) Use your graph from part (b) to estimate how long it takes for the tank to drain completely. (Round your answer to one decimal place.) min

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 98E
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Water in a tank will flow out of a small hole in the bottom faster when the tank is nearly full than when it is nearly empty. According to Torricell's Law, the height h(t) of water remaining at time t is a quadratic function of t. A certain tank is filled with water and allowed to drain. The height of the water is measured at different times as shown in the table. Time (min) Height (ft) 5.0 4. 3.1 8 1.9 12 0.8 16 0.2 (a) Find the quadratic polynomial that best fits the data. (Round all numerical values to five decimal places.) h(t) = (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. h h 10 15 20 10 15 10 15 10 15 (c) Use your graph from part (b) to estimate how long it takes for the tank to drain completely. (Round your answer to one decimal place.) min
Transcribed Image Text:Water in a tank will flow out of a small hole in the bottom faster when the tank is nearly full than when it is nearly empty. According to Torricell's Law, the height h(t) of water remaining at time t is a quadratic function of t. A certain tank is filled with water and allowed to drain. The height of the water is measured at different times as shown in the table. Time (min) Height (ft) 5.0 4. 3.1 8 1.9 12 0.8 16 0.2 (a) Find the quadratic polynomial that best fits the data. (Round all numerical values to five decimal places.) h(t) = (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. h h 10 15 20 10 15 10 15 10 15 (c) Use your graph from part (b) to estimate how long it takes for the tank to drain completely. (Round your answer to one decimal place.) min
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