Question

A model for the surface area of a human body is given by S = 0.1091w^0.425 h^0.725, where w is the weight (in pounds) and h is the height (in inches), and S is measured in square feet. If the errors in measurements of w and h are at most 2%, use differentials to estimate the maximum error in the calculated area.

Answer #1

A model for the surface area of a human body is given by
S =
0.1096w0.425h0.725,
where w is the weight (in pounds), h is the
height (in inches), and S is measured in square feet. If
the errors in measurement of w and h are at most
6%, use differentials to estimate the maximum percentage error in
the calculated surface area. (Round your answer to one decimal
place.)

A model for the surface area of a human body is given by the
function S = f(w, h) = 0.1091*w^0.425*h^0.725 where w is the weight
(in pounds), h is the height (in inches), and S is measured in
square feet. (a) Calculate the linearization L(w, h) of this
function when w = 165 lb and h = 68 in. (Round all coefficients to
three decimal places.)

A model for the surface area of a human body is given by the
function
S = f(w, h) = 0.1091w0.425h0.725
where w is the weight (in pounds), h is the
height (in inches), and S is measured in square feet.
(a) Calculate the linearization
L(w, h)
of this function when
w = 159 lb
and
h = 69 in.
(Round all coefficients to three decimal places.)
L(w, h) =

There are 2 different formulas to calculate body surface
area-the top one uses cm for height and kg for weight and the
bottom one uses inches and pounds. These must be completed using a
calculator-you cannot do them on a sheet of paper. Complete the
calculation inside the square root symbol and then hit the square
root key and that is the answer labeled as
m2
Please calculate the body surface area using the following
formula.
Body surface area is...

There are 2 different formulas to calculate body surface
area-the top one uses cm for height and kg for weight and the
bottom one uses inches and pounds. These must be completed using a
calculator-you cannot do them on a sheet of paper.
Complete the calculation inside the square root symbol and then
hit the square root key and that is the answer labeled as m2
Please calculate the body surface area using the following
formula.
Body surface area is...

One estimate for the ideal body weight of a woman is shown
below. Use this information to answer parts (A) through (D).
56 kg + 2.4 kg for each inch over 5 feet
(A) Find the linear model for an estimate of the ideal weight of
a woman using w for ideal body weight (in Kilograms) and h for
height over 5 feet (in inches)
(B) Interpret the slope of the model
(C) If a woman is 5'3 tall, what...

The length, width, and height of a box are measured as 5 ft,
3 ft, and 7 ft, respectively, with an error in measurement of at
most 0.1 ft in each. Use differentials to estimate the maximum
error (in feet) in the calculated volume of the box.

The length, width, and height of a box are measured as 6 ft,
5 ft, and 3 ft, respectively, with an error in measurement of at
most 2/10 ft in each. Use differentials to estimate the maximum
error (in feet) in the calculated volume of the box.
*fraction form (exact asnwer) please, no decimals*

The dimeter of the base and the height of a cylindrical can are
measured, and the measurement are known to have errors of at most
0.5cm. if the dimeter and height are taken to be 4cm and 6cm,
respectively, estimate the maximum possible error in
a- the volume V of the cylindrical.
b- the surface area S of the cylindrical.

Given the following design conditions for a Wall form system:
Concrete Mix = Type III cement without retarder, Concrete Unit
Weight (w) = 150 pcf Wall height (h) = 10 Feet high, Rate of Pour
(R) = 8 Feet per hour, Concrete Temperature (T) = 80 Degrees
Fahrenheit, Wall Thickness = 12 inches What is the maximum design
pressure on the wall in pounds per square foot (psf)? Please solve
with all steps and calculations included.

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