Dy/dx = (ycos(x))/(1 + y²)
(1 + y²)/y dy = cos(x) dx
(1/y + y) dy = cos(x) dx
Integrating:
ln(y) + y²/2 = sin(x) + c
ln(1) + 1/2 = sin(0) + c
c = 1/2
Thus,
ln(y) + y²/2 = sin(x) + 1/2
Solution
Problem 6
For this case we can do this:
12, 16,__, 14, 8, 7
We can solve for x like this:


Problem 7
F
(g/f)(x)= g(x)/f(x) =
= (x² - 6) /(3x +1)
3x+1≠0
3x≠-1
x≠ - 1/3
(g/f)(x)= (x² - 6) /(3x +1), when x≠ - 1/3
Answer: A.
<h2>
Answer:The graph of

is the graph of

compressed vertically.</h2>
Step-by-step explanation:
Given that
and 
is always positive because
is always positive.
is always positive because
is always positive.
So,both are always positive.
So,there is no flipping over x-axis.
In
,the height of a point at
is 
In
,the height of a point at
is 
So,height of any point has less height in
than 
So,the graph of
is the graph of
compressed vertically.
Answer:
You can use tree diagrams to find the probability of something