oof, the answer is (-infinity, -1), but now i understand why. Thanks for the help anyway!!!

oh ok, is there an explanation to why?

Nvm, I solved it

Good Job!!! Melody, you are correct. I also got 48. A bit late on your response, but I answered the problem before seeing you post this.

I actually figured it out, it is 48

This is wrong

The least common multiple of 6 and 12 is 12.

So Helena will go kicking and swimming on the same day 12 days from now.

The complex numbers are all different though

So I don't think this is correct. Not that I can do better or anything. Keep up the good work!

Using numerical integration techniques,

\(\int _{-2}^2\left(x^3\cos \left(\frac{x}{2}\right)+\frac{1}{2}\right)\sqrt{4-x^2}dx\) would be \(\pi\)

The factors of 1024 would be 1, 2, 4, 8, 16, 32, 62, 128, 256, 512, and 1024 itself.

These numbers added up would give us 2047.

Thus, the answer to this question is 2047.

Thank you, I have a better understanding of what this problem meant. I first tried plugging in some values and then graphing it. I figured there was an easier way!

I actually was working on this problem while you were, I also figured it out!!!

I actually figured it out a while after I posted this question haha. My process was the exact same as yours, though

tysm, I understand how to do this problem now after reading the solution!!!

actually, the answers are 1, -1, and -3. I solved it!!! I did use the expanding advice

never mind, I finally got the answer!!! The only possible value of k is 1!!!

you deserve it!!!