Answer:
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Step-by-step explanation:
Answer:
f(x, y) = Sin(x*y)
We want the second order taylor expansion around x = 0, y = 0.
This will be:

So let's find all the terms:
Remember that:


f(0,0) = sin(0*0) = 1.





Then we have that the taylor expansion of second order around x = 0 and y = 0 is:
sin(x,y) = x*y + x*y + x*y = 3*x*y
Step-by-step explanation:
Down 2 units : we will move the point 2 units to the down direction of the vertical line (y-axis)
which means (x ,y-2) = (-2,1)
right 3 units = we will move the point 3 units to the right direction of the horizontal line (x axis )
(x+3,y)= (1,3)
up 1 unit and left 4 units : we will move the point 1 unit in the up direction of the vertical line (y-axis)
and move it 4 units in the left direction of the horizontal line (x axis )
(x-4,y+1l. = (-6,4)
Factored Completely the answer would be: 7(x^(3) + 5)
Hope this helps!