Solving the Gaussian Cube Question: Understanding E = 7.35i - 5.63(y2 + 9.74)j

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Zythyr
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Okay I totally don't understand this problem at all. There is an example in the book also, but I just don't understand how to do it. Like the whole concept of how the E is written. I don't understand what this means: E = 7.35i - 5.63(y2 + 9.74)j.
 
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I figured out the concept behind the vector notation of the eletric field. But now the only thing I don't understand is what is the net flux. How do I calculate the next flux.