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21worksheet6

# 21worksheet6 - 30L UTIDNS MATH 122 SECTION 021 WORKSHEET 6...

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Unformatted text preview: 30L UTIDNS MATH 122, SECTION 021 WORKSHEET 6 Show all work for full credit. 1. Given the following graph of the ﬁrst derivative f’ (:5), determine the intervals over which f is increasing, decreasing, concave up, and concave down. sf " i if! - m Wm («M») U (’5ij _’ P760 pomle I, ' ec Pmd 5:3) 01.91451 L’s’z‘WWﬂ i 21%) Coilwa g9 0 (“L011 . ""EKZX) Posenw P (X) MCN’CLSME My.“ /’3,Jlll WW ““““ " ()0 diar‘fasirsj g -14:i-:12g—i -mw. w-iuuisvpmﬁw an.“ M Estimate any point(s) where f has a local minimum. How can you tell? Al ‘1 m'ﬂ'Mt-M’l Chaﬂsé’é 7813M decml/lj ‘l‘D MCPCGSIN3 60 P‘Cx) mas‘r Chariot? WCW neaa‘ilvf. it: Poskwt —> anal 2. The table below shows marginal cost, A! C' , and marginal revenue7 M R, for some good. 50 100 150 200 250 300 Should production be increased or decrease from q = 100? Explain. WWII 1400/ Marginal "C’W/WC ‘59 4 Mal Magi/tail C’Oﬁi' 54331) 7114.5 J’N act/mm (ex/mac 972m Selim} one More Wm 15 joeal'éf‘ 'Hmn lug \ 505+ 00 mi 1km. we 5m.) 3. Find the derivative f’ f(x) = 53:8 + 6x3 + 73:2 + 2 p760:— Lloxq‘f“ ngzl'qu 2 4. Find the derivative f’(:1c). I/ 1 ’1’, ’I f(a:)=5\4/§+2—;+g :Sxi’t 2X ’3X PM éx’J/‘WLV'S'SX'Z 5. Find the derivative f’ 3 x f(zc)=3+7lna:+5m =(ix +7IﬂX+5 x3 6. Find the equation of the tangent line to the graph of f(:z:) : 23:3 — 6x2 + 10 when a: = 3. Pal/1i (3J0) Skye: m:]g \1’/0=l8'()(':3/ may mfvzaum 12m : (oxilzx \1vo = 18x 5 D 4‘73) : (cerium : 7. A model for the attendance, A, at a local fair is given by A(t) = —3t3 + 45t2 people, Where t is hours since 9AM when the gates open. a. ﬁt What rate>is the attendance changing at Give units. Is the attendance increasing or decreasing? R Behvaiwt L7 .LL ; ?- Mt): safﬂot Aim) .2 «9(7)Z+90(?) ; ’83 logo/If/VIM 7L6 ai’rfnaimce 1.5 Incr‘faéng. bm) will attendance beQ‘ncreasz'nﬁmt ate" of 144 people/hour? A7 5:? (305%? befu/ahve fa ,qt2;90£ Izzo 451%,; 444:0 {92 AM Iva/glam: HAD :0 Hgo ~?[,g/z)[£«8)30 lee—v ...
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