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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 =

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  1. ranyai12
    • 3 years ago
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    I go the first part to equal ydx+xdy but idk what to do for the second part

  2. ranyai12
    • 3 years ago
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    got*

  3. ranyai12
    • 3 years ago
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    @jonnymiller can you please help?

  4. jonnymiller
    • 3 years ago
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    is this differential equations?

  5. ranyai12
    • 3 years ago
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    no its multivariable variables

  6. jonnymiller
    • 3 years ago
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    sorry, I have no idea how to do this

  7. ranyai12
    • 3 years ago
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    its ok thank you

  8. Waynex
    • 3 years ago
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    Think 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.

  9. ranyai12
    • 3 years ago
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    thank you!

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