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
D has the commutative property because it just flip flopped the numbers.
Answer:
12.57555 rounded to 12.5756
Step-by-step explanation:
34'=34*1/60=0.56°
56''=56/1/3600=0.01555°
12°+0.56°+0.01555°=12.57555°
Given:
Henry can type 3500 words in 70 minutes.
Colin can type 1500 in 30 minutes.
Brian can type 2200 words in 40 minutes.
To find:
The person who types at the fastest rate of words per minute.
Solution:
We know that,

Using this formula, we get



Since 55>50, therefore Brian's types at the fastest rate of words per minute.