Find the general solution by separating the variables then integrating:
dy / dx = cosx℮^(y + sinx)
dy / dx = cosx℮ʸ℮^(sinx)
℮^(-y) dy = cosx℮^(sinx) dx
∫ ℮^(-y) dy = ∫ cosx℮^(sinx) dx
-℮^(-y) = ℮^(sinx) + C
℮^(-y) = C - ℮^(sinx)
-y = ln[C - ℮^(sinx)]
y = -ln[C - ℮^(sinx)]
Find the particular solution by solving for the constant:
When x = 0, y = 0
-ln(C - 1) = 0
ln(C - 1) = 0
C - 1 = 1
C = 2
<span>y = -ln[2 - ℮^(sinx)]
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Answer:
I'll edit my answer when you give more context, but for now, say you knew the values of A and B. Say A is 3 and B is 13. In order to find out C you'll need to subtract A from B; 13-3=10. C=10 in this situation.
Answer:
17/50.
Step-by-step explanation:
If we convert 3 2/5 into an improper fraction, we get 17/5.
If you don't read the question carefully, it's easy to think that the answer would be 17/5 ÷ 9. However, this is wrong.
The question says "her AND her 9 friends," so there are 9+1=10 people total.
Thus, the answer would be
17/5 ÷ 10 = 17/5 * 1/10 = 17/50.
Answer:
Apply trigonometric function for triangle ABC:
7.
sin A = BC/BA = 6/7.2 = 0.83
A = arcsin(0.83) = 56.44
8.
tan B = AC/BC = 4/6 = 0.67
B = arctan(0.67) = 33.69 deg
Hope this helps!
:)
To get the full project, we can multiply by two.
2/12 x 2 = 4/12
This can be simplified
4/12 = 2/6 = 1/3
So the entire project will need 1/3 of the poster board.
