(1 point) Find the dimensions of a right circular cylinder that is open on the top, is closed on the bottom, holds 6 liters, and uses the least amount of material. Note: One liter corresponds to 1000 cubic centimeters. Radius is 555 centimeters Height is centimeters (1 point) Consider f(x) = (x 5)2 with x 6 [0,6]. Find all numbers C in the domain of f(x) (other than endpoints) for which f'(c) is either zero or undefined. c=5 (If there is more than one value of C, enter a commaseparated list. If there are no values of 6, enter "none". Here is a graph of f(x). Use your answer above, the graph, and the domain of f (x) to find the local and global extrema of f (x). The absolute maximum occurs at (025) iii (Enter your answer as an ordered pair, e.g., (0.8). If the absolute maximum value occurs more than once, enter a comma-separated list of ordered pairs. If there are no absolute maxima, enter "none".) The absolute minimum occurs at (5,0) 555 (Enter your answer as an ordered pair. If the absolute minimum value occurs more than once, enter a comma-separated list of ordered pairs. If there are no absolute minima, enter "none".) l u.- ::= (Enter your answer as an ordered pair. If there is more than one relative maximum, enter A relative maximum occurs at I (0,25) a commaseparated list of ordered pairs. If there are no relative maxima, enter "none".) A relative minimum occurs at (5,0) 5!! (Enter your answer as an ordered pair. If there is more than one relative minimum, enter a commaseparated list of ordered pairs. If there are no relative minima, enter "none". (1 point) Consider f(x) = x3 2x with x E [, 1/?) . Find all numbers c in the domain of f(x) (other than endpoints) for which f'(c) is either zero or undefined. c = sqrt(2/3),sqrt(2/3) iii (If there is more than one value of c, enter a commaseparated list. If there are no values of 0, enter "none". Don't include endpoints of the domain.) Here is a graph of f(x). Use your answer above, the graph, and the domain of f (x) to find the local and global extrema of f (x). The absolute maximum occurs at (-sqrt(2/3),(4sqrt2)/(33qrt3)) 555 (Enter your answer as an ordered pair, e.g., (0,8). If the absolute maximum value occurs more than once, enter a commaseparated list of ordered pairs. If there are no absolute maxima, enter "none". The absolute minimum occurs at (sqrt(2/3),(4sqrt2)/(35qrt3)) 555 (Enter your answer as an ordered pair. If the absolute minimum value occurs more than once, enter a commaseparated list of ordered pairs. If there are no absolute minima, enter "none". A relative maximum occurs at (sqrt(2/3),(4sqrt2)/(33qrt3)) 555 (Enter your answer as an ordered pair. If there is more than one relative maximum, enter a commaseparated list of ordered pairs. If there are no relative maxima, enter "none".) A relative minimum occurs at i (sqrt(2/3),(4sqrt2)/(36qr13)).(0,0) l (Enter your answer as an ordered pair. If there is more than one relative minimum, enter a commaseparated list of ordered pairs. If there are no relative minima, enter "none". Results for this submission Entered Answer Preview Result (-1,innity) ( 1, 00) correct (-infinity,1) (00, 1) correct (-innity,infinity) (00, 00) correct (0,infinity) (0, 00) At least one of the answers above is NOT correct. (1 point) Consider y = x2 + 2x for x E R. Determine where y is increasing, decreasing, concave up, and concave down. interval notation. y is increasing on [Hum y is decreasing on (-inf,~1) y is concave up on [(Infln y is concave down on (O.inf) 555 Use your answers above to sketch a graph of y. Enter your answers using