for the implicit integration I got:

the vertical tangent would at points at which y' goes to infinity.
that happen when the right-hand side has singularities, that is, the denominator is 0:

so the two points y above have a vertical tangent.
Answer: the median is 1.
Step-by-step explanation:
first, put the numbers in order from least to greatest. (1,1,1,4,9) then, just find the middle. because the middle is 1, the median is 1.
Answer:
one side = 
Step-by-step explanation:
if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.
Let's say TP = a
since it's a regular octagon, TP = HT
and using the Pythagoras Theorem, we know a² + b² = c² and thus:
√(AT² + HA²) = HT
and since AT = HA which we will call x, the equation becomes:
√(2x²) = HT = a
rearrange the equation to solve for x and you get:
2x² = a²
x² = 
x =
which, if you rationalise the denominator, you get:
x = 
Answer:
6n - 1.
Step-by-step explanation:
Arithmetic sequence.
a1 = 5, d = 6.
nth term = a1 + d(n - 1)
= 5 + 6(n - 1)
= 5 + 6n - 6
= 6n - 1.
Galaxy B has more stars. When expanded, Galaxy A has 50,000,000 stars, while Galaxy B has 20,000,000,000 stars. Galaxy A has 2.5*10⁻³ times as many stars as Galaxy B. Galaxy B has 4*10² times as many stars as Galaxy A.