Please answer every pwrt! Consider the function
4x^(3)-18x^(2)-48x
. (a) Is
f
continuous 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
f
on
-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.