. Let Ha] = . Find the absolute maximum and absolute minimum of n] = 33\"! 183 + 5 over the interval [[1 T]. _ Find the absolute min and max values of the function HI] = my\" 153:2\" on the interval ['13]. $2 I\"! + 3' {a} Find the intervals: for which 3' is increasing or decreasing. {b} Find the local maximum and minimum values of f. [c] Find the intervals of concavity and the inection points. {d} Sketch the graph using the information above. Be sure to label the axes and use an appropriate scale. I . _ Let f{s] = Era 4.1: + 1. Determine the following: {a} The intervals for which f is increasing or decreasing. {b} Local maxima and minima values of f. [c] The intervals of concavity {d} The inflection pointlfs]. {e} Sketch the graph using the information above. Be sure to label the axes and use an appropriate scale. _ A cylindrical can. open at the top. is to hold r-l cm\" of liquid. Find the height and radius that minimize the amount of material needed to manufacture the can. . Find two numbers differing by 38 whose product is as small as possible. _ If you have 40 meters of fencing and want to enclose a rectangular area up against a long. straight wall. what is the largest area you can enclose? l