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
Answer:
<h3>The slope of the line is 1</h3>
Step-by-step explanation:
The slope of a line is found by using the formula

where
m is the slope and
(x1 , y1) and ( x2 , y2) are the points
Substituting the above values into the above formula we have
Slope of the line that passes through
(0,1) and (-8, -7) is

<h3>The slope of the line is 1</h3>
Hope this helps you
answer:
2x + 12 = c
step-by-step explanation:
- one time fee = $12
- each game = $2
- let x be the number of games
- c = total cost
2x + 12 = c
Answer:
i'm sorry but where's the question?
Answer: 140 female runners
Step-by-step explanation:
First find out the number of runners:
= 42% * 10,000
= 4,200 runners
Then find out the number of female runners:
= 4,200 * 1/3
= 1,400 female runners
Sally finished faster than 90% of the female runners which means that 10% finished faster or at the same time as her.
= 10% * 1,400
= 140 female runners