MATH100 Study Guide - Final Guide: Even And Odd Functions, 4Dx, Maxima And Minima

• School: University of Alberta
• Department: Mathematics
• Course: MATH100
• Professor: All

Document Summary

250 : (b) the revenue function is r (x) = xp (x) = 90x (cid:0) x2. Maximum revenue occurs when r0 (x) = 0 or at the end points x = 0 and x = 20000: r0 (x) = 90 (cid:0) x. = 0 =) x = 11250 =) r (11250) = ; 250:00 r (0) = sh:00 and r (20000) = ; 000:00: Maximum revenue of ; 250:00 occurs when 11; 250 seats are sold at a price of :00 per ticket: the function, and its (cid:133)rst two derivatives, are given by f (x) = x. The domain is r. the function is neither odd nor even. The axes inter- cepts are given by (0; 0) and (6; 0). There is an oa as x ! (cid:6)1 given by yoa = 2(cid:0) x since (cid:0)x (1 (cid:0) 6=x) 3 (cid:25) (cid:0)x(cid:0)1 (cid:0) 2=x (cid:0) 4=x2 + o(cid:0)x(cid:0)3(cid:1)(cid:1) . The cp is given by x = 4.