Answer:
25 percent
Step-by-step explanation:
Of means multiply and is means equals
P * 56 = 14
Divide each side by 56
P = 14/56
P = .25
To change to a percent, multiply by 100
P = 25 percent
Answer:
56
Step-by-step explanation:
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:
x=-1
Step-by-sx=-1tep explanation:
Use the identity cos^2 (a/2) = 1/2 (1 + cos a) so
cos^ 2 22.5 = cos^2 (45/2) = 1/2 ( 1 + cos 45) = 1/2(1 + sqrt2/ 2)4 = 1/2 + sqrt2/4
cos 22.5 = sqrt ( 1/2 + sqrt2/4) Answer
