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Unformatted text preview: M1551 Test 1. September 4, 2009 N31118: AVISWY‘S  Instructions. Do problems in space provided (continuing on back if necessary). This is a 100—point test. 1. points] Using the absolutevalue symbol and < (or >). express the following statement in mathematical symbols: “the
distance from W’ to 3 is strictly greater than 5”. 3w3\> 5‘ 2. {10 points] Describe as a union of intervals: the set of all a: such that I251: — 9 2 100. lax—Mama e5 \x%\ 259 WA 12300 (a)
4:) {x E: B’Oiq/z, (:3) 2xq2wo or «zxmatoa q “r “5'50 <=> x2. if or x527} (""9 X5 CW; ‘45“ “$451 w) <35) Xe [Mi ‘3”) U (“9% 4533.]
J In problems 3 and 4, let l? he the line through (p, p2) and (q. (12), where p and q are any real numbers.
3. [5 points] Write the equation for H in slope—intercept form {11,1 : mm + b): 7 .2 gkope, 2 MS Pat$8, m P‘?% ,
V‘% at egg, 4;: Y“P?—= (9+%)CX*?) 4. [10 points] Express as a function of p: the value that q must have in order for E to pass through (0.1): i? .9. \Passes through (82,0, WW
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llama) I}? Q, Passes 'i’hr‘eusk (0);); Cf»)? ) Wei Cebjg ) ) W %.., P l 5. points] Write as a mathematical expression: “the average rate of change of f (ac) on the interval from :1: : 6.9 to a‘ : 7.” m geeHm) ll 6. points} Express as a limit: “the instantaneous rate of change of ﬂm) at 3: : 'T.”  ”? +lq ‘£C7)
ﬁlm Rt) it) W kw $07 ) “hat "t"? 73" “$0 \q, 7. [10 points] An object falls from 256 feet, so its height after :3 seconds of falling; is 256 —— 161L2 feet. At what time does it hit
the ground? Express as a, limit: the object’s instantaneous velocity when it hits t .. e this limit. .. l .. if s icyt? . 1W4 “(mt a (259 as l 2 MM 1M )d hm f
m t~s t'M V“ t” 8. [5 points] Explain the meaning of the expression “liIn ﬂay) : 5” in plain English, without using the word “limit.” $10!) We” in Malia m close. we gym. wish ‘l'b .5"
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Fus'cW warbémhwaf d3 3 9. [5 points} Explain the meaning of the expression “ lim f : 8” in plain English, without using the word “limit.”
xwoc 10. [5 points] Draw a graph of f to illustrate: “linian f(:L‘) (lees not exist because the oneesiclerl limits are diﬁ'erent.” 1Q 11. [5 points] Draw a graph of f to illustrate: “limwg f does not exist because 3“ has an asymptote." l2. [5 points] Draw a graph of f to illustrate: “ﬁlm.92 f does not exist because f osciliates.” 10. Find the limit if it exists. If it does not exist: explain Why. 2
a. [spointsiyg13:_‘39 : 91w, x+ 3 = 6
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d. [5 points] 535:: DUE Wm ’90 $~ ﬂown ‘> f M X—a 3) \
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e. [Spointsilighcosé ‘ QSClﬂﬂd (Lift 51*? X I ...
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This note was uploaded on 11/23/2011 for the course MATH 1551 taught by Professor Malisoff during the Fall '08 term at LSU.
 Fall '08
 MALISOFF
 Calculus

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