The table shows g(k, t) weight gain/loss of a pig.f Average Daily Weight Gain/Loss for a Pig (kg/day) Mean lve welght (kg) 68 91 113 136 156 4.4 0.58 0.54 0.50 0.46 0.43 10.0 0.67 0.71 0.76 0.80 0.85 15.6 0.79 0.87 0.94 1.02 1.09 21.1 0.98 1.01 0.97 0.93 0.90 26.7 0.83 0.76 0.68 0.62 0.55 32.2 0.52 0.40 0.28 0.16 0.05 37.8 -0.09 -0.35 -0.62 -0.88 -1.15 (a) What is the average daily weight gain/loss for a 91-kg pig when the temperature is 26.7°C. |kg/day (b) Find the function for the linear model that gives the average daily weight gain/loss of a pig in kg/day when the air temperature is 32.2°C, where k is the pig's weight in kg, with data from 68 sks 156. (Round all numerical values to four decimal places.) g(k, 32.2) = kg/day (c) Find and interpret the rate of change of the average daily weight gain/loss of a pig when the air temperature is 32.2°C with respect to the pig's weight when the mean live weight is 113 kg. (Round your answers to four decimal places.) kg/day per kg kg/day per kg. A pig whose mean live weight is 113 kg when the air temperature is 32.2°C --Select-v on average
The table shows g(k, t) weight gain/loss of a pig.f Average Daily Weight Gain/Loss for a Pig (kg/day) Mean lve welght (kg) 68 91 113 136 156 4.4 0.58 0.54 0.50 0.46 0.43 10.0 0.67 0.71 0.76 0.80 0.85 15.6 0.79 0.87 0.94 1.02 1.09 21.1 0.98 1.01 0.97 0.93 0.90 26.7 0.83 0.76 0.68 0.62 0.55 32.2 0.52 0.40 0.28 0.16 0.05 37.8 -0.09 -0.35 -0.62 -0.88 -1.15 (a) What is the average daily weight gain/loss for a 91-kg pig when the temperature is 26.7°C. |kg/day (b) Find the function for the linear model that gives the average daily weight gain/loss of a pig in kg/day when the air temperature is 32.2°C, where k is the pig's weight in kg, with data from 68 sks 156. (Round all numerical values to four decimal places.) g(k, 32.2) = kg/day (c) Find and interpret the rate of change of the average daily weight gain/loss of a pig when the air temperature is 32.2°C with respect to the pig's weight when the mean live weight is 113 kg. (Round your answers to four decimal places.) kg/day per kg kg/day per kg. A pig whose mean live weight is 113 kg when the air temperature is 32.2°C --Select-v on average
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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