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Calc 3 11.2

 

<== Calculus 3
Number Question Answer
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1. Find the limit

\lim_{(x,y) 	o (-45, 9)} x y \cos(x  + 5 y)
-405
The work
2. Find the limit

\displaystyle \lim_{(x, y) 
ightarrow (-4, 1)} e^{\sqrt{4x^2 + 4y^2}} =

3813.15
The work
3. Find the limit

\lim_{(x,y) 	o (0, 0)}rac{(-9 x + y)^2}{81x^2 + y^2}
1) Along the x-axis:
2) Along the y-axis:
3) Along the line y = x :
4) The limit is:
1) 1
2) 1
3) 0.7805
4) DNE
The work
4. Find the limit

\lim_{(x,y) 	o (0, 0)}
rac{(-8 x^2  - 5 y^2)}{\sqrt{(-8 x^2  - 5 y^2 +1)} -1}
2
The work
5. Find the limit.

\displaystyle \lim_{(x, y, z) 
ightarrow (5, 3, 5)} rac{3 z e^{x^2+y^2}}{5 x^2+ 3 y^2+ 5 z^2} =

31595401219898.3
The work