Recent content by cathy

Homework Statement Determination of Major Products in SN2 reactions? What would be the major product of 2,3-dichloro-3ethyhexane reacted with: 1. one equvalent of NaI in acetone? 2. one equavelent of AgNO3 in methanol and explain your reasoning. Homework Equations N/A The...

Isn't it the 13th value of n that gives the 13th term?

Homework Statement Determine its 13^{th} Taylor coefficient of the Taylor Series generated by f at x = 3. f(x)=e^(7x) Homework Equations I used the fact that the series for e^x was ∑x^n/n! The Attempt at a Solution Using that above, and replacing x with 7x, shouldn't my answer...

I'm still a bit confused. What do you mean by substituing the series into the above?

So how do I find the coefficient? Do I have to take the 11th derivative of xe^x, plug 7 in, divide by 11! ? But then what happens with the (x-7)^11?

Maybe I'm going about the problem wrong? I seem to be getting a lot of them wrong. f(x)=3xe^x. Determine its 11^{th} Taylor coefficient of the Taylor Series generated by f at x = 7. For this, I am getting 3*7^14/13! and that is wrong too

i'm entering it into my homework and it's marking it wrong.

Homework Statement F(x)=7x Determine the 13th taylor coefficient of the taylor series generated by f at x=3 Homework Equations Well, it looks like I just had to take the derivative, but by the time it gets to the 13th derivative, wouldn't the answer just be zero? The Attempt at a...

Oh actually, that was silly. I got it.

If I had a function asking the same thing as above but the function was 4+15x+x^2sinx, how would I fin a taylor series for this? Would I have to expand out the x^2sinx? What would I do with the 4 and the 15x? I know if I expand out the x^2sinx, I would multiply them to each other, but where...

Thank you:)

Oh! so, if it asks for a certain polynomial, the power can't be higher than what they're asking for? That P(5) refers to the power, and not the term?

would it be 5?

but i tried taking out one term, and that didnt work.

5 derivatives