The temperature at a point (x, y) on a flat metal plate is given by t(x, y) = 45/(6 + x2 + y2), where t is measured in °c and x, y in meters. find the rate of change of temperature with respect to distance at the point (3, 1) in the x-direction and the y-direction. (a) the x-direction °c/m (b) the y-direction °c/m

Change in x direction is

Change in y direction is

Explanation:

The temperature is given by we need to find gradient of temperature to obtain the rate of change thus

Now the rate of change at (3,1) in

1) X direction is given by

2) Y direction is given by

  1.the balanced   chemical equation is as below

cu +   2 ag(no)₃ → cu(no₃)₂   +2 ag

2.the   much silver   produced   is   50.9 g

step 1: find the   moles of cu

moles =   mass÷   molar mass

  from periodic table the molar mass of cu = 63.5 g/mol

moles is therefore = 15.00 g÷ 63.5 g/mol = 0.236   moles

step 2: use the mole ratio to determine the   moles of ag

from equation above   cu: ag   is 1: 2

therefore the moles of ag   =0.236   moles   x 2/1 =0.472   moles

step 3: find the mass   of ag

mass = moles x molar mass

from periodic table   the molar mass of ag =107.87 g/mol

mass   = 0.472   moles x 107.87 g/mol = 50.9 g

3.   the   much   silver   collected worth is   1.797 oz

  convert   50.9 g   to oz

that is   1 gram = 0.0353 oz

          50.9 grams =?   oz

by cross multiplication

={(50.9 grams x 0.0353 oz) / 1   gram}   =1.797 oz

6/12=1/2

step-by-step explanation: