Answer and Step-by-step explanation:
a.)x^2 and y^2 are always greater than zero.(assuming real x and y).
=>x^2<=x^2+y^2
=>|x|(x^2)<=|x|(x^2+y^2)
=>|x^3|<=|x|(x^2+y^2)
b. similarly, |y^3|<=|y|(x^2+y^2)
=>|f(x,y)|=|x^3+y^3|/(x^2+y^2)=|x|+|y|
c. let h is very small number (close to zero but positive)
lim (x,y)-> (0,0) f(x,y)=(x^3+y^3)/(x^2+y^2)
putting x=h and y=h and approaching h->0
lim h->0 f(h)=2h=0
There is another explanation attached below
2n+9+5n=30 combine like terms on left side
7n+9=30 subtract 9 from both sides
7n=21 divide both sides by 7
n=3
Im thinking it whould be c
<u>Answer:</u>
1.95 cubic feet
<u>Step-by-step explanation:</u>
We are given that Emily stores her jewelry in a cube and the cube has a side length of
feet.
feet in an decimal form is 1.25 feet.
We know that,
<em>volume of a cube = s
</em>
where <em>s</em> is the side length of the cube.
So substituting this value of side length of cube in the formula to get:
Volume of cube =
= 1.95 feet
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