Please answer every pwrt! Consider the function
4x^(3)-18x^(2)-48x. (a) Is
fcontinuous on the interval
-2,5? Explain your reasoning in words. (b) Find the critical values of
f. (c) Using the Closed Interval Method, find the absolute minimum and maximum values of
fon
-2,5, if they exist. Clearly label your answers. (d) Using the results from (c), find a lower bound and an upper bound of
\int_(-2)^5 [4x^(3)-18x^(2)-48x]dx. Clearly label your answers.