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First, let's recall the gradient formula:grad = change in y / change in x = y2 -y1 / x2 - x1So let's label point A as x1, and point B as x2, and find the corresponding y1 and y2 using the equation of the ...

QUESTION: Given the equation x³-12x²+ax-48 = 0 has roots p, 2p and 3p, find p and a. Roots mean x = p, x = 2p and x = 3p hence (x-p), (x-2p) and (x-3p) are factors of the equation. E...

A full electron configuration shows the amount of electrons in each shell and subshell of an element or ion. Shells (also called energy levels) progress from 1 to 4, with 1 being the closest to the centre...

Damping reduces the amplitude of oscillation of a system over time. Critical damping reduces the amplitude of the oscillations to zero in the shortest possible time, returning the system to the equilibriu...

Assume 2^(1/3) is rational, so can be written as p/q where p and q are integers with no common factors. p/q = 2^(1/3) (p^3)/(q^3) = 2 p^3 = 2q^3 Hence, p is even. Thus, p can be written as 2r, where r is ...