has two points of discontinuity at 
, where 
.
We have
so as long as 
, we can cancel 
and be left with 
. Then as 
, we have
The limit exists, so the discontinuity at -1 is removable (so definitely not C or D).
Meanwhile,
does not exist, so the discontinuity at 1 is non-removable, making A the correct answer.
If we let the coordinates of each ship be (x, y) with the positive directions of these coordinates corresponding to East and North, then the positions of the ships t hours after noon are
Ship A
(-180+35t, 0)
Ship B
(0, 30t)
The distance between them is the "Pythagorean sum" of the difference in their coordinates:
d = √((-180 +35t)² +(-30t)²)
= √(32400 -12600t +2125t²)
The rate of change of this distance is
dd/dt = (2125t -6300)/√(32400 -12600t +2125t²)
At 4 pm, the value of this rate of change is
(2125*4 -6300)/√(32400 -12600*4 +2125*4²)
= 2200/√16000
≈ 17.39 km/h
The distance between the ships is increasing at about 17.39 km/h at 4 pm.
The next number would be 19.
Each number adds one more each time.
For example, 4+0=4, 4+1=5, 5+2=7, 7+3=10, 10+4=14, 14+5=19
Hopefully this makes sense, its kind of hard to explain.
Hope this helps :)
There is nothing there what am I supposed to
Answer:
2 bags of topsoil.
Step-by-step explanation:
The attached figure shows a flower bed.
One bag of topsoil covers 15 square meters.
We need to find how many bags of topsoil does Tom need to cover his flower bed.
The area of the flower bed is :
Let he has to cover x bags of topsoil. So,
x = Area of flower bed/Area of 1 bag of top soil
x = 30/15
x = 2
Hence, he will need 2 bags of topsoil to cover his flower bed.
