Let f(x)=2−|4x−2|. show that there is no value of c such that f(3)−f(0)=f'(c)(3−0). why does this not contradict the mean value theorem?

In triangle abc, the length of side ab is 12 cm, the length of side bc is 5 cm, and the length of side ca is 9 cm. find the measure of angle a using the law of cosines.

Find the value of 1715⋅211.though these numbers aren't quite as nice as the ones from the example or the previous part, the procedure is the same, so this is really no more difficult. give the numerator followed by the denominator, separated by a comma.

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2