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63. Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is given approximately by the formula numinim stufozde na brn suley momen V = 999.87 – 0.06426T+0.0085043T² - 0.000067973 Find the temperature at which water has its maximum density.

63. Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is given approximately by the formula numinim stufozde na brn suley momen V = 999.87 – 0.06426T+0.0085043T² - 0.000067973 Find the temperature at which water has its maximum density.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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question 63
- How alues 60. f(x)=x²-3x³ + 3x² - x, 0≤x≤ 2 61. f(x)=x√x - x² 62. f(x) = x - 2 cos x, -2 ≤ x ≤ 0 beaulo e no benne noiront untos se 63. Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is given approximately by the formula huminim stufoede na brn suley moMEZEIT V = 999.87 0.06426T+0.00850437² 66. EXE Find the temperature at which water has its maximum density. 64. An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle with the plane, then the magnitude of the force is F = μW μ sin + cos 0 0.0000679T3 μ where is a positive constant called the coefficient of friction and where 0 ≤ 0 <T/2. Show that F is minimized when tan 0 = μ. 1 65. The water level, measured in feet above mean sea level, of Lake Lanier in Georgia, USA, during 2012 can be modeled by the function L(t) = 0.01441t³ -0.4177² +2.703t+1060.1 where t is measured in months since January 1, 2012. Estimate when the water level was highest during 2010 6
Transcribed Image Text:- How alues 60. f(x)=x²-3x³ + 3x² - x, 0≤x≤ 2 61. f(x)=x√x - x² 62. f(x) = x - 2 cos x, -2 ≤ x ≤ 0 beaulo e no benne noiront untos se 63. Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is given approximately by the formula huminim stufoede na brn suley moMEZEIT V = 999.87 0.06426T+0.00850437² 66. EXE Find the temperature at which water has its maximum density. 64. An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle with the plane, then the magnitude of the force is F = μW μ sin + cos 0 0.0000679T3 μ where is a positive constant called the coefficient of friction and where 0 ≤ 0 <T/2. Show that F is minimized when tan 0 = μ. 1 65. The water level, measured in feet above mean sea level, of Lake Lanier in Georgia, USA, during 2012 can be modeled by the function L(t) = 0.01441t³ -0.4177² +2.703t+1060.1 where t is measured in months since January 1, 2012. Estimate when the water level was highest during 2010 6
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