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Giygas Short Mathematical Challenge :/

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Since last thread went perfectly well~ I thought about making another one! This time around, I'm gonna challenge you with actual Math problems. If anyone of you can finish at least three of these five problems, than I guess I might have to consider you a true "Algebra master" :) (Note: Participate if you want, I thought this might've been interesting, as I got the idea from Micromass and the Assessment test joke)

1. Solve for x in this following equation: (2x-1)/(3x+2)=7

2. Solve for the following equation for x, y, and z: 2x-3y+z=0

x+y+z=1

x-2y-4z=2

3. Find z in this following equation: (2z)/(z+3)=(3)/(z-10)+2

(4 and 5 will require you to have understanding of Single-Variable Calculus, so anyone that wants to take a shot at it, can)

4. Find the slope of the following curve at the indicated point: y=x^3 at the point (1/2 , 1/8)

5. Evaluate this Indefinite Integral by using Substitution: Ôê½ sin 3x

Rules: Use a calculator that gives you the final answers, or does it completely out for you, I slap you with a fish.
 
Summer makes everyone lazy, than they got to get back into the groove :)

Unfortunately I probably made this way too easy for most of y'all, considering half of everyone here is Probably at least in College. But, we can still see how this goes, and if everyone makes this look really easy, than next time I do this, I'll make it much more difficult depending on how this goes.

Edit: I'm not the second Giygas, not at least yet... That comes later.
 
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