Suppose that f is differentiable on [a, b] and that f(b) < f(a). Show that there is a point c ∈ [a, b] such that f'(c) < 0.

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

Which statement is true about a number and its additive inverse? a. their product is always one. b. their sum is always one. c. they are always reciprocals of each other. d. their sum is always zero.

Varies inversely with x. if y=8.5 when x=-1 find x when y=-1