Answer:
Step-by-step explanation:
GIven that :
(a) lim (x,y)→(0,0) 5x + y √ 5x + y + 9 − 3
(b) lim (x,y)→(0,0) 2xy x 2 + y 2
We are to evaluate and determine if the limit exist or not.
From (a);
x = 0
y = 0 (Since no presence of indeterminate)
=
= 0+0+0 +9 - 3
= 6
Therefore; the limit exist
(b)
If y = mx
So; the limit depends on the value of m; then the limit does not exist
12 is the answer
Equilateral triangle means the three sides are the same length. You do 3 x 4 = 12
Answer: The boxer lose 1.8 kg in the final week to get able to compete as a flyweight.
Step-by-step explanation:
Since we have given that
Quantity of weight a boxer needs to lose in a month is given by
In 3 months, he lowers his weight from 55.5 kg to 53.8 kg.
So, Quantity of weight he lose in three months is given by
Number of kilograms the boxer lose in the final week to be able to compete as a flyweight is given by
Hence, the boxer lose 1.8 kg in the final week to get able to compete as a flyweight.
Answer:
the three boxes should be filled with
2 8 -12
respectively
Step-by-step explanation:
The general equation of the parabola in this problem is
y = a(x-h)^2 + k
vertex is at (-2, -20), => k=-20, h = 2
so the equation is
y = a(x+2)^2 - 20
To have y-intercept = -12, we set x = 0
-12 = a(0+2)^2 - 20
a(2^2) = 8
a = 2
therefore the equation of the parabola is
y = 2 (x+2)^2 -20 = 2x^2 + 8x - 12
the three boxes should be filled with
2 8 -12
respectively