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# Quant Analysis MATH 1100

The U

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This 19 page Class Notes was uploaded by Miss Noel Mertz on Monday October 26, 2015. The Class Notes belongs to MATH 1100 at University of Utah taught by Staff in Fall. Since its upload, it has received 15 views. For similar materials see /class/229932/math-1100-university-of-utah in Mathematics (M) at University of Utah.

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Date Created: 10/26/15

Algebra Review Math 1100 005 1 Solvez27m760 2 Solve 2z23z74 0 3 Simplify 251 7 H V 4 Multiply 3 l 5 Simplify 3 6 Write zzzs with a single exponent 7 Write 7 with a single exponent 8 Find the domain of 9 Find the domain of xm 4 and sketch the graph 10 Graph 2 7 1 Find all the intercepts 11 Find the equation of a line that passes through 17 3 and 2 9 12 What does the vertical line test tell you What does the horizontal line test tell you 13 For m 2 2m 1 nd a H1 b 1 h m hi m C ff 14 For x z 1 and gz m2 nd a f 09W 0 9 0 Wm 15 Find the inverse of y 2x 3 16 Rationalize the denominator of i NOTES 0 page 0 13 and 0 14 has some properties of exponents 0 page 0 19 has some factoring techniques 0 page 0 25 has some operations with fractions a 23 lt wgh Mleli lm CUM6W I39umor growth For Problems 23 and 24 suppose that a tumor in a person s body has a spherical shape and that treatment causmg the radius of the tumor to decrease at a rate at 1 millimeter per month 3 t hill law is the volume lecrez ing when the radius is 3 millimeters Recall that V U At what rate is the surface area of the tumor rlecreasr mg when the radius is 3 mm Recall that for 1 sphe ii S JTI VZ i e 24 Sell growth A bacterial cell has a spherical shape It the velume 0t the cell is increasing at a rate of 4 cubic micrometers per day at what rate is the radius of the cell increasing when it is 2 micrometers Recall that for 21 sphere 1 r3 Water purification Assume that water is being puriA tied by causing it to ow through a conical tilter that has a height 0139 15 inches and a radius of 5 inches If the depth of the water is decreasing at a rate of 1 inch per minute when the depth is 6 inches at what rate is the volume if water owing out of the filter at this instant Ladder safety A 3tlft ladder is leaning against a wall It the bottom is pulled away from the wall at it rate of l ftsec at what rate is the top of the ladder sliding down the wall when the bottom is 18 ft from the wall M Elasticity The demand function for a product is given by pquot u 9 3 Find the price elasticity of demand when x l7 Find the values of Vand p that maximize the total revenue c For the value of fuund in pan ht show that the price elasticity of demand has unit elasticity m Elasticity The demand function for a pmduct is given by p I 20 002 0 lt lt 1000 a Find the price elasticity ot39dernzmd when x 560 b Find the values of Wand 7 that maximize the 013 TCV nU c For the value liqfound in part b show that the price elasticin of demand has unit elasticiut 3 39 t OwlSheet B u MW Mme ow y a Laymg g 471 3 gm W1 000 9 Kiwi W w w 0 a 3 wagL WW5 mama 2 A How wow 6L u MSW Wax9L W WW a H WW3 L 49 mq ud 656 22WOW M PEOOE C wcbv w 1m km W my mp M56 MAM W 3m cwmg T m u mm mm Mm K 337740an r M W M LJMHM WK mwlx OLig 9250 39 2 who W WW WU wng VAL Wix CVW T 1 9 vantage em vgm39 Qv Oj 2 M 9257294110 4amp3 Z V K 6 m Withwk x wg M RR 1mf M3quot t 56 WW mg hgt MW QWWT39 39 Q 3x 633 s 78 F 141 A 7 f V jg Xl DIX 33 SW MW 14 Mum dx 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