Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y of pi over 2 equals 1 .

-2cos(x)
2 - 2cos(x)
1 - 2cos(x)
-2 - 2cos(x)

I think it is option C. Thank you in advance!

1 − 2 cos x

Step-by-step explanation:

y' = 2 sin x

y = C − 2 cos x

1 = C − 2 cos(π/2)

1 = C

y = 1 − 2 cos x

the anwser is d) 75°

step-by-step explanation:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.