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## Homework Statement

a metal plate is situated in the xy plane and occupies the rectangle 0<x<10 and 0<y<8 where x a y are measure in meters. The temperature oat the pooint x,y on the plate it T(x,y), where T is measured in degrees celcius.

note the attached table

a- estimate the values of teh partial derivatives of T

_{x}(6,4) and T

_{y}(6,4). What are the units of measure

b - Estimate the values of T

_{u}(6,4) where u = (i + j)/(2^1/2). Interpret your result

c - Estimate the value of T

_{xy}(6,4)

## Homework Equations

## The Attempt at a Solution

welp im not sure if correct but hers what i did

a - t(x) = 6, because from point 6,4, moving down the x value the temp rises 6 degrees

and so t(y) = -5. the units are degrees celsius i belive

b - for b i pluged my x and y partials from part a into the i & j component and got u = 7.8 degrees celcius

c - t(x) = 6 just as in part a. and from there point 8,4, i moved the right for a change of -6 degrees