Differentials with more than two variables Write the differential dw in terms of the differentials of the independent variables . 41. w = f ( u , x , y , z ) = ( u + x ) / ( y + z )
Differentials with more than two variables Write the differential dw in terms of the differentials of the independent variables . 41. w = f ( u , x , y , z ) = ( u + x ) / ( y + z )
W
A person's Body Mass Index is I
H²
where W is the body weight (in kilograms) and H is the body height (in meters). A child
has weight W = 39 kg and height H = 1.3 m. Use the linear approximation to estimate the change in I if (W, H) changes to
(40, 1.31).
(Use decimal notation. Give your answer to three decimal places.)
ΔΙ~
Vz+
Differentiate y =
x + Vx + V.
Y =
Average Cost The average cost (in dollars) to manufacture x
hundred small toys is
A(x) = 0.025.x – 0.15x? + 5x + 45.
Use the differential to approximate the changes in the average
cost for the following changes in x.
(a) 5 to 6
(b) 10 to 11
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