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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Y=3/4x-2
the y intercept is -2
and the slope is 3/4
slope= change in y/change in x
SA = 1,226 in.² (Hope this helps!)
Answer:
3 + 5i
Step-by-step explanation:
Given
- 2i + (9 - 3i) - (6 - 10i) ← distribute parenthesis
= - 2i + 9 - 3i - 6 + 10i ← collect like terms
= 3 + 5i
