Answer:
1. y = sin(x²+C)
2. see below
Step-by-step explanation:
1. 
separation of variables

integration both sides
you should get :
remember constant of integration!!
2. y = sin(x²+C)
3 = sin(0+C)
y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range
Answer:

Step-by-step explanation:
We have an extremely large equation and are asked to divide it, so let's solve it step-by-step :
Remove the parenthesis to make it easier to read :

Multiply the numerators :

Multiply the denominators :

Apply the negative rule :

Cancel the common factor which is 18 :

Apply the addition exponent rule :

Subtract :

Apply the rule for y :

Subtract :

Cancel the common factor of z^3 :

Answer:
130
Step-by-step explanation:
18+(4x28)
=18+112
=130
Remember PEMDAS!
Answer:
8 students
Step-by-step explanation:
There are 20 boxes and there are a total of 40 students interviewed. So, each box is worth 2 students. Since blue has 4 boxes, 4*2 = 8 students chose blue as their favorite shoe color.
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