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
Answer:
If we are working in a coordinate plane where the endpoints has the coordinates (x1,y1) and (x2,y2) then the midpoint coordinates is found by using the following formula:
midpoint=(x1+x22,y1+y22)
Step-by-step explanation:
Answer:
The 4th term of the linear sequence = 3
Step-by-step explanation:
First term, a = -9
Common difference, d = -5 - (-9)
= -5 + 9
= 4
d = 4
The 4th term of the linear sequence = a + (n - 1)d
where,
n = 4
a + (n - 1)d
= -9 + (4 - 1)4
= -9 + (3)4
= -9 + 12
= 3
The 4th term of the linear sequence = 3
The answer is 4605 feet since 921 • 5 is 4605. There are 5 sides and each side 921 so 921 • 5 = 4605 would be the answer
