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You refer to "this". If it means this year, 2019, then none of those choices is correct. Does the problem state what year it refers to?

To follow up, let's let: u=\sin(\theta)+1\implies du=\cos(\theta)\,d\theta And our definite integral becomes: A=2\sqrt{2}\pi\int_0^2...

The form \frac{\infty}{0} is not indeterminate, and is equivalent to the form \(\infty\). :)

I believe you intended to write 5/(4x^2 - 25) - (2x+3) / ((4x^2+16x+15)/7). If so, your work is correct through 5/(4x^2 - 25) -...

That is almost impossible to read. Is it \frac{{\frac{5}{{4{x^2} - 25}} - (2x + 3)}}{{\frac{{4{x^2} + 16x + 15}}{7}}}~??? I ask because...

What is the definition of the finite-closed topology? I know what the finite-complement topology on a set is. And the above theorem...

I'm not sure how to do a search on this. I was recently looking over a post that mentioned something along the lines of "we didn't used...

I believe you intended to write 5/(4x^2 - 25) - (2x+3) / ((4x^2+16x+15)/7). If so, your work is correct through 5/(4x^2 - 25) -...

i know it should be approaching infinity but what about the contradiction i shown in my question

If you think of this expression as having two sides you probably will think that you can multiply,divide, add or subtract the same...

how?

I'm not sure I understand. I think what you are really observing is that different sources define the inverse cosecant differently. It's...

That's a pretty good sized intercept if it's supposed to be 0! What are the scale of your x's? -Dan

Good point. I once did a regression on a linear function as y = mx + b for a model that forced y = mx. I thought it was a reasonable...

The form \frac{\infty}{0} is not indeterminate, and is equivalent to the form \(\infty\). :)