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

5 0

3 years ago

Jackie drinks a bottle of water and a bottle of orange juice every morning.

melisa1 [442]

Answer:

15.30

Step-by-step explanation:

use code tiko

3 0

3 years ago

Read 2 more answers

A drink is mixed in the ratio

Contact [7]

Answer:

Step-by-step explanation:

Drink mix ratio:

Lemonade : Orange : Cranberry

6 : 3 : C

Fraction of Cranberry juice = $\frac{3}{12}$

Sum of the ratio = 6 + 3 + C = 9 + C

Fraction of Cranberry;

$\frac{C}{9 + C}$ = $\frac{3}{12}$

3(9 + C) = 12C

27 + 3C = 12C

27 = 12C - 3C

9C = 27

C = 3

The missing number will be 3

4 0

3 years ago