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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
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