Am i on the right track?

[Helpmeplease11]

My teacher assigned this problem:

The Merck Manual, 14th Edition, Merck Sharp & Dohme Research Laboratories, 1982, reports that the surface area of the human male is given by \(\displaystyle SA\, =\, 15.477\left(\mbox{weight}^{0.425}\right)\left( \mbox{height}^{0.725}\right),\) where the weight is in pounds and the height is in inches.

A young astronaut on his way to Mars is exposed to unknown radiation that causes his surface area to change at \(\displaystyle 50\, \mbox{in}^2/\mbox{sec}\) and his weight to change at \(\displaystyle 10\, \mbox{lb}/\mbox{sec}.\) Initially, the astronaut weighs \(\displaystyle 150\, \mbox{lbs}\) and is \(\displaystyle 70\, \mbox{in}\) tall.

How fast is his height changing \(\displaystyle 5\) seconds after he is irradiated?

From reading the problem I know that SA'=50 in, w'=10 lb, and we need to find h'?

If the above is correct, then I need to find the derivative of the original equation and solve for h'?

thanks

 

[Deleted member 4993]

My teacher assigned this problem:

The Merck Manual, 14th Edition, Merck Sharp & Dohme Research Laboratories, 1982, reports that the surface area of the human male is given by \(\displaystyle SA\, =\, 15.477\left(\mbox{weight}^{0.425}\right)\left( \mbox{height}^{0.725}\right),\) where the weight is in pounds and the height is in inches.

A young astronaut on his way to Mars is exposed to unknown radiation that causes his surface area to change at \(\displaystyle 50\, \mbox{in}^2/\mbox{sec}\) and his weight to change at \(\displaystyle 10\, \mbox{lb}/\mbox{sec}.\) Initially, the astronaut weighs \(\displaystyle 150\, \mbox{lbs}\) and is \(\displaystyle 70\, \mbox{in}\) tall.

How fast is his height changing \(\displaystyle 5\) seconds after he is irradiated?

From reading the problem I know that SA'=50 in, w'=10 lb, and we need to find h'?

If the above is correct, then I need to find the derivative of the original equation and solve for h'?

thanks

Yes ... so where are you stuck?