The body mass index (BMI) of a person is defined by B ( m , h ) = m h 2 where m is the person’s mass (in kilograms) and h is the height (in meters). Draw the level curves B ( m , h ) = 18.5, B ( m , h ) = 25, B ( m , h ) = 30, and B ( m , h ) = 40. A rough guideline is that a person is underweight if the BMI is less than 18.5; optimal if the BMI lies between 18.5 and 25; overweight if the BMI lies between 25 and 30; and obese if the BMI exceeds 30. Shade the region corresponding to optimal BMI. Does someone who weighs 62 kg and is 152 cm tall fall into this category?
The body mass index (BMI) of a person is defined by B ( m , h ) = m h 2 where m is the person’s mass (in kilograms) and h is the height (in meters). Draw the level curves B ( m , h ) = 18.5, B ( m , h ) = 25, B ( m , h ) = 30, and B ( m , h ) = 40. A rough guideline is that a person is underweight if the BMI is less than 18.5; optimal if the BMI lies between 18.5 and 25; overweight if the BMI lies between 25 and 30; and obese if the BMI exceeds 30. Shade the region corresponding to optimal BMI. Does someone who weighs 62 kg and is 152 cm tall fall into this category?
The body mass index (BMI) of a person is defined by
B
(
m
,
h
)
=
m
h
2
where m is the person’s mass (in kilograms) and h is the height (in meters). Draw the level curves B(m, h) = 18.5, B(m, h) = 25, B(m, h) = 30, and B(m, h) = 40. A rough guideline is that a person is underweight if the BMI is less than
18.5; optimal if the BMI lies between 18.5 and 25; overweight if the BMI lies between 25 and 30; and obese if the BMI exceeds 30. Shade the region corresponding to optimal BMI. Does someone who weighs 62 kg and is 152 cm tall fall into this category?
The cost of fuel consumed by a locomotive is proportional to the square of the speed and is equal to Q1600/h when the speed is 40km/h. Regardless of the speed, the cost per hour increases, for other reasons, by Q3600/h.
a) Calculate the speed at which the locomotive must go so that the cost per kilometer is minimum.
The (blank) is the absolute distance between the estimate and the actual value of the estimated parameter.
The circumference of a sphere was measured to be 83 cm with a possible error of 0.5 cm. Use
linear approximation to estimate the maximum error in the calculated surface area. Round the
error to 5 decimal places.
Estimate the relative error in the calculated surface area. Round the error to 5 decimal places.
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