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A Survey of a college freshman class has determined that the mean height of females in the class is 62 inches with a standard deviation of 3.6 inches (a) Assuming the data can be modeled by a normal probability density function, find a model for these data. S.0 x) = V 70 AA A (b) Use a graphing utility to graph the model. Be sure to choose an.appropriate viewing window. D05 005- D.04 004 0.03 0.02 0.02 0.01 D.01 -20 -10 50 60 10 20 BD 10 0.10 0.08- D 08 0 06 0.06 0.04 D.04 0.02 D 02 55 60 65 70 O-10 10 (c) Find the derivative of the model. x) =1 X (d) Show thal > 0 for xu and f O for x> H (Round your answers to three decimal places.) Note the derivative in part (d) only changes sign at x= =62 and is defined for all real numbers. For xp62, let x= 61. Then (61= So for xP(X 0. Then for x 62, Ilet x 61. Then (63) = So for x> p, f(x) о. Submit Answer O

A Survey of a college freshman class has determined that the mean height of females in the class is 62 inches with a standard deviation of 3.6 inches (a) Assuming the data can be modeled by a normal probability density function, find a model for these data. S.0 x) = V 70 AA A (b) Use a graphing utility to graph the model. Be sure to choose an.appropriate viewing window. D05 005- D.04 004 0.03 0.02 0.02 0.01 D.01 -20 -10 50 60 10 20 BD 10 0.10 0.08- D 08 0 06 0.06 0.04 D.04 0.02 D 02 55 60 65 70 O-10 10 (c) Find the derivative of the model. x) =1 X (d) Show thal > 0 for xu and f O for x> H (Round your answers to three decimal places.) Note the derivative in part (d) only changes sign at x= =62 and is defined for all real numbers. For xp62, let x= 61. Then (61= So for xP(X 0. Then for x 62, Ilet x 61. Then (63) = So for x> p, f(x) о. Submit Answer O

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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A Survey of a college freshman class has determined that the mean height of females in the class is 62 inches with a standard deviation of 3.6 inches (a) Assuming the data can be modeled by a normal probability density function, find a model for these data. S.0 x) = V 70 AA A (b) Use a graphing utility to graph the model. Be sure to choose an.appropriate viewing window. D05 005- D.04 004 0.03 0.02 0.02 0.01 D.01 -20 -10 50 60 10 20 BD 10 0.10 0.08- D 08 0 06 0.06 0.04 D.04 0.02 D 02 55 60 65 70 O-10 10 (c) Find the derivative of the model. x) =1 X (d) Show thal > 0 for xu and f O for x> H (Round your answers to three decimal places.) Note the derivative in part (d) only changes sign at x= =62 and is defined for all real numbers. For xp62, let x= 61. Then (61= So for xP(X 0. Then for x 62, Ilet x 61. Then (63) = So for x> p, f(x) о. Submit Answer O
Transcribed Image Text:A Survey of a college freshman class has determined that the mean height of females in the class is 62 inches with a standard deviation of 3.6 inches (a) Assuming the data can be modeled by a normal probability density function, find a model for these data. S.0 x) = V 70 AA A (b) Use a graphing utility to graph the model. Be sure to choose an.appropriate viewing window. D05 005- D.04 004 0.03 0.02 0.02 0.01 D.01 -20 -10 50 60 10 20 BD 10 0.10 0.08- D 08 0 06 0.06 0.04 D.04 0.02 D 02 55 60 65 70 O-10 10 (c) Find the derivative of the model. x) =1 X (d) Show thal > 0 for xu and f O for x> H (Round your answers to three decimal places.) Note the derivative in part (d) only changes sign at x= =62 and is defined for all real numbers. For xp62, let x= 61. Then (61= So for xP(X 0. Then for x 62, Ilet x 61. Then (63) = So for x> p, f(x) о. Submit Answer O
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