Answer:
Number 4 has an exponent of 4.
Step-by-step explanation:
The ^ thingy is referring to an exponent. The number after that symbol is the exponent. Therefore, the last answer is the solution to this problem.
..... 40.5 ...............
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
