Recent content by Rich B.

2 ppm, yes. Nice work! Regards, Rich B.

notation Hi: In the interest of effective communication, I highly recommend the use of grouping symblos. The derivative of f(x) = √x+1, for instance, is not 1 / 2(√x+1). Rather, f '(x) = 1/(2√(x)). That said, I assume that you mean f(x) =√(x+1), in which case f '(x) = 1 / [2√(x+1)]. Now...

Hi D leet: Because x^4+3x^3+7x^2-6x-13 has one sign change (++ - -; + to -), Descartes guarantees existence of exactly one positive real root. Further, because f(-x) changes sign three times, the function has 3 or 1 negative real roots. Hence, no real roots (a necessary condition of the...

Greetings Flatland: For any continuous function, f(x), on the interval [a,b], the average value of f on that interval is given by: f_ave = 1/(b-a) * Integral f(x) dx ; [a,b]. So, in the present case, f_ave = 1/(2+2) * Integral (4 - x^2) dx; [-2,2] = (1/4)(4x - (1/3) x^3) =...