The coefficient of y is 14 and the constant is 13.
You can find this by combining like terms first.
6x + 12y + 5 + 2y + 8
6x + 14y + 5 + 8
6x + 14y + 13
Now the coefficient is the number next to y. The constant is the number on its own.
It's m. All you have to do is distribute
Melanie: 15 years old
Kevin: 5 years old
Assume Kevin's present age is x.
That means that 3 years ago, his age would be x - 3.
Melanie's age would be 6(x - 3).
Same thing for 5 years into the future:
Kevin's age would be x + 5.
Melanie's age would be 2(x + 5).
The two equations we have here are:

By subtracting both equations, we are simplified to:
8 = -4x + 28
By solving the equation, we get x = 5.
That means that Kevin's current age is 5 years old.
Melanie's age could be calculated by substituting Kevins'.
6(x - 3) --> 6(5 - 3) --> 12
Since that was 3 years ago, you need to add 3 to 12 to get her current age.
12 + 3 = 15
Melanie's current age is 15 years old.
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Evaluate the indefinite integral:

Make the following substitution:

and then, the integral (i) becomes

Integrate it by applying the power rule:

Now, substitute back for u = sin x, so the result is given in terms of x:


I hope this helps. =)
Tags: <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>