math objectives

11) Use the table to determine the sign of the second derivative, f" (x), and shape of the func- tion, f(x), when x is between 2 and 5. a) F" (x) > 0, f(x) Concave Up b) f" (x) >0, f(x) Concave Down C ) F" ( x) 0 b ) f ( 5 ) 0 b) q> 234 c) q>2334 d) q> 2500The table below gives the volume (gallons) of a brine solution in a tank after t minutes. Use the table below to answer questions 6-9. t 3 3.4 V (t) 106 100 6) Use the table to estimate the derivative V' (3) (include the correct units) a) V' (3) = 15 gal/min. b) V' (3) = -15 gal/min. c) V' (3) =-1.67 gal/min d) V' (3) =-0.07 min/galThe table below gives values for f' (x) at different x-inputs. Use the table to answer questions 10-12. 3 4 5 F' ( x ) 5 8 11