Torricelli's Law 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 mea- sured at different times as shown in the table. (a) Find the quadratic polynomial that best fits the data. (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. (c) Use your graph from part (b) to estimate how long it takes for the tank to drain completely. Time (min) Height (ft) 5.0 4 3.1 8 1.9 12 0.8 16 0.2

Torricelli's Law 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 mea- sured at different times as shown in the table. (a) Find the quadratic polynomial that best fits the data. (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. (c) Use your graph from part (b) to estimate how long it takes for the tank to drain completely. Time (min) Height (ft) 5.0 4 3.1 8 1.9 12 0.8 16 0.2

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.FOM: Focus On Modeling: Fitting Polynomial Curves To Data

Problem 5P: PROBLEMS Torricellis Law Water in a tank flow out of small hole in the bottom faster when the tank...

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Torricelli's Law Water in a tank will out of a small hole in the bottom when 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 and allowed to drain. The height of Water is measured at different times as shown in the table. (a) Find the quadratic polynomial that best fits data. (b) Draw a graph of the polynomial from part(a) together With a scatter plot of the data. (c) Use your graph from part (b) to estimate how long it takes for the tank to drain completely.
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PROBLEMS Torricellis Law Water in a tank flow out of small hole in the bottom faster when the tank is nearly full than when it is nearly empty. According to Torricellis Law, the height ht 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. (a) Find the quadratic polynomial that best fits the data. (b) Draw a graph of the polynomial from parta together with a scatter plot of the data. (c) Use your graph from partb to estimate how long it takes for the tank to drain completely. Time Min Height ft. 0 5.0 4 3.1 8 1.9 12 0.8 16 0.2
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