Practice Midterm 1 - Radius, Inverse Functions, Domains & Limits - MIDTER'I 1 COURSE 15A\\VINTER c 2012 Problem 1(20 p Consider the circle 4t:2

# Practice Midterm 1 - Radius, Inverse Functions, Domains & Limits

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MIDTER\'I 1. COURSE 15A. \VINTER 2012c Problem 1. (20 p) Consider the circle:4t:2 + 4y2 *L6y - 8r: 1a){10 p) Ileterrnine the radius arrcl tlie center of t}re circle.b) (10 p) Fincl tiie y iritercepis arid {ind iheir midpoint..Lt.i
}{IDT'ERI,,I 1. COURSE 16A. WII{TER 2012r Ploblern 2. (20 p) l)eternriue the domain alri the codoiltain of the foilowingfunctioris:.,-a )lr pl J {.r'l : - \l ;;i/--nb)(5 p) J/(r") : f .t'2 - 1c)i5 p) h("): fi-t. /--i--tl){5 p) i'{",) : 1'.i2 ; L IIo' rs. ti:,.. : i r -- iI\,r'--- Ir I ".,-I.'''lar!f i-': \f' .,,,], ,'ri.,i'ii ,,''.l-,il r
I},IID'IERIJ 1. COURSE 16A. WINTER 2012r Problern 3. (10 p) Consider the function:( -z ..r< It r) :1ut-IhL.2 , lSr<l"11I .r' \;3Finci the constanis a and b suth that /(r) is continuousl],1;'f I I..r>1i
',1\}{IDTER.N,{ 1. COURSE 16A, IIINTEE 2012o Prcrblern 4. {10 p). | : ' '\ '\',a) Deterrnine if the poirits