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You found the anti-defivative of the integrand, but you need to evaluate a definite integral.

I did

Hello, and welcome to FMH! :) Let's look at: S_{n}+aS_{n-1}+bS_{n-2}=0 Using the definition of \(S_n\), this becomes...

Can someone help solve this problem??

For part (a) we are revolving about the \(x\)-axis. I would write: dV=\pi((x^2+4)^2-(4x)^2)\,dx=\pi(x^4-8x^2+16)\,dx Now integrate...

Let's look at a graph of the region to be revolved: For part (a), I would use the washer method, where the outer radius \(R\) is the...

I don't know if this is true. :) Thanks

I divide by 4x by 4 to find x. Apologies, I haven't attempted math since my childhood and I'm trying to grasp the concepts for a module...

Both of your equations can be proved to be true for any triangle using the law of sines, which I'll write as \dfrac{a}{\sin(\alpha)} =...

Yes, what I posted implies: x=\frac{1}{4}\left(\pi k\pm\arcsin\left(\frac{1}{4}\right)\right) We are told also: 0<x<\pi...

Do you understand why 4x=πk±arcsin(1/4) where k∈Z ? If you know what 4x equals then how do you find out what x equals.

Let's look at a graph of the region to be revolved: For part (a), I would use the washer method, where the outer radius \(R\) is the...

Should I rotate it separately for three of them?

You need to submit an attempt at solving the problem, and we can help you where you are stuck. In the mean time, I can get you started...

I were to do this problem, I would: first sketch an approximate shape of x+y+z^2 = 1 and try to sketch the solid (use wolframalfa to...