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 one year ago
Please help!!
The area of a rectangle with dimensions x and y is A(xy)=xy. Find the differential of this function.
dA=
If you measure x=6 and y=10, with a measurement error of +/ 0.16, use the differential to estimate the possible error in the caculated area. (Assume that all expressions are in cm. Do not include units in your answer.)
possible error =
 one year ago
Please help!! The area of a rectangle with dimensions x and y is A(xy)=xy. Find the differential of this function. dA= If you measure x=6 and y=10, with a measurement error of +/ 0.16, use the differential to estimate the possible error in the caculated area. (Assume that all expressions are in cm. Do not include units in your answer.) possible error =

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ranyai12
 one year ago
Best ResponseYou've already chosen the best response.0I go the first part to equal ydx+xdy but idk what to do for the second part

ranyai12
 one year ago
Best ResponseYou've already chosen the best response.0@jonnymiller can you please help?

jonnymiller
 one year ago
Best ResponseYou've already chosen the best response.0is this differential equations?

ranyai12
 one year ago
Best ResponseYou've already chosen the best response.0no its multivariable variables

jonnymiller
 one year ago
Best ResponseYou've already chosen the best response.0sorry, I have no idea how to do this

Waynex
 one year ago
Best ResponseYou've already chosen the best response.1Think of the differential equation as saying the change in A = y times the change in x + x times the change in y.\[\Delta A = y * \Delta x + x * \Delta y.\] Plug your x and y values into their appropriate x and y variables. The change in x could be as much as + or  .16. So plug .16 in delta y and delta x. \[\Delta A = 10(\Delta 0.16) + 6(\Delta 0.16)\] There are questions (on psets/exams) later on in the course that use this concept.
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