Question: Linear approximationA model for the surface area of a human body is given by the function S(w,h) below, where wis the weight (inpounds),his the height
Linear approximationA model for the surface area of a human body is given by the function S(w,h) below, where wis the weight (inpounds),his the height (in inches), and Sis measured in square feet.S(w,h)=0.1091w0.425h0.725(a) Show that the linearization L(w,h)of this function when w=159lb and h=69inis approximatelyL(w,h)=0.213h+0.054w-3.039(b) Compare the values off(w,h) and L(w,h)as defined above when (w,h)=(158,68) and when (w,h)=(150,95). Comment on the relative accuracy of the approximations.
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