31a_samplemid2sol (2)

31a_samplemid2sol (2) - 1. Find the (absolute) maximum and...

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Unformatted text preview: 1. Find the (absolute) maximum and minimum values of M) = (x3 — 3w)“ on the interval [—3, 0], showing your work. 2. Given that firm): 1-1-3334 f(1)=1andf'(1)=3,findf(m). w 1C” - 1+3?” I m9 .63 : "hf ‘: H” “F ‘_,-—~ ‘7 ) X: X; X3 2” f h h; ~ *1 3 3L ‘ d .._L. ‘" .1. 3+ l r j, +3“ + C 7'- 3 fl-O C 2 2 7C 2 " 9‘ Mr)»: J; +ii+gz+ng 40 p2“ he) -: g’x‘fl. L 7rng 2%- 2 3. Alan and Betty plan to meet at a restaurant. To get to the restaurant, Alan is driving east at 35 mph and Betty is driving south at 40 mpg. At what rate are Alan and Betty approaehing each other when Alan is 3 miles from the restaurant and Betty is 4 miles from the restaurant? ' (Jci E2, 5 0” 3 Nib WI hw’fiwf lttjfw‘fu’d) L ITO “LINK 73%) MAM Xtt):3J I 4. A function is defined by f(:c) 2 39(432 —— 1)—1/2. (3.) Determine the horizontal asymptotes of fix), if it has any. fro/gown] [10/omfr1 ( (b) Determine the intervals on which f is concave up or down Hint: f’(:c) = —(4:::2 w 1)A3/2) Ka.) a .I k» ‘ I / X’W it??? : jinn 4-W- =1 70"“? ix“ X 7mg: gel/Xe. [par 2%” Jinx.) 2» 1‘ 7664/0 70‘500 LH'X'Jl—“I X430 WK“! [’0’ "" -.1»-§/7 a) 919x 5 7C m: 33W *1) law " :ngqj 4" >0 1": MAL <0 1L- K<O 1 v .1.“ . i 00342.0 IE x gVn J ngé avg“ A10 WCM 0‘“ Co’hC/wfii JIM/v1 U“(‘”OO/J 5 5‘ Given positive numbers I), p and (1, find the value of a: at which fer) : Mb — xv reaches its maximum on the interval [0, b]. {/‘N WM $422+)? rL—z)§"’m) : 0 I .._ FWP"(L*~)€)Z r ...
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This note was uploaded on 12/07/2010 for the course MATH 31A taught by Professor Jonathanrogawski during the Fall '07 term at UCLA.

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31a_samplemid2sol (2) - 1. Find the (absolute) maximum and...

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