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

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

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

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

Waynex
 3 years 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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