Recent content by jf623

Ah thank you for the help lads, but I had already worked this out. The next problem that has halted me is this: (e) What binary value will appear at the outputs Q3 to Q0 of the register REG1, when v_fuel is 1.1 V? All of a sudden the comparator doesn't make sense! I think too much tea and...

I'm trying this problem on allaboutcircuits too. However they havn't been as helpful as this board is for other problems (mostly mathematics). Homework Statement I have been given an assignment which is part of, what I consider, the most difficult part of electronics engineering. Circuit...

Haha, yes Dick. And thank you, this is the second time you have helped me.

Ah it's actually 1 -x +x^3/3 -x^4/6 +x^5/30, I wrote the expansion of e^(-1) incorrectly. Can any of you confirm this to be right?

I have taken 7 terms of e^(-x) and 4 terms of cos(x) (which are both up to x^6) and tactically multiplied them to end up with terms only to x^6, but x^6 itself disappears and I have 1 +x -x^3/3 -x^4/6 -x^5/30 +0x^6. Is this correct? It doesn't agree with what the computer expands it as.

Homework Statement Establish an infinite series expansion for the function y=e^(-x)cos(x) from the known series expansions, include terms up to the sixth power.Homework Equations The series expansions of e^x and cos(x).The Attempt at a Solution I am unsure of how many terms to multiply out to...

Yes I did that too Dick, it all seems to work and I can confirm the factors are (x-1)(x-3)(x-5)(x-j)(x+j). Thank you all for your kind help.

Ok now I've slept I think I understand a little more. By elimination, there must be 3 positive real roots by using Descartes Rule, and therefore 2 complex roots? That there are no imaginary terms in the polynomial means that the complex conjugate of the one root I'm given must also be another...

Now I feel even more lost than I was before. I looked up Descarte's Rule of Signs as I have never encountered it before, and I am unsure as to how knowing the signs of the roots will help me determine what they are. Polynomials of this sort are fairly new to me, complex numbers are not. I know...

Started my first year of Electronic Engineering a few months back and I'm already struggling with the mathematics. I have been to this forum a number of times over the last year and finally decided to join just 10 minutes ago!Homework Statement Find the roots of P(x) given that two roots are...