Asquare matrix a e rn is said to be skew-symmetric if a =-a prove that if a is skew-symmetric, then x'ax = 0 for all x e r". (hint the t t t quantity x'ax is scalar so that (x'ax) = x'ax)

Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 4 p plus 4 x plus 2 pxequals56. suppose also that p and x are both functions of time, measured in days. find the rate at which x is changing when xequals2, pequals6, and startfraction dp over dt endfraction equals1.5.