MSC "on mmo DU CT ION "DO QUANTITATIVE METHODS Winter mm "IV" DTER'N'" N ' AME (pnnt) . STUDENT m: NAME (Signature): "fi"- SECTION; II . 0" have 75 mcnutes to cnmplete {he exam Follow the directions and answer all questions as best yau can. Values of individuai questions are given in the left margins. #l . Find the derivative for the following functions using den'vzm'vc rules, 6 fl) = y am to) b) y = s 3 ' ' ' = 3 z - 6x + 12: #2. Gwen a fimcuon f(x) x . l ' - . "Hm-fm) '(x) by using the definition of denvanve f (x) - (-------h . 8) Find the derivative function f t = -7? tantaneOus rate of change Vx hen x 'U. is the ins' uscnm - " . 7 Whmr mm How emand function for n cedain product is given by p(x) = -0.45x + 225, where p is the #S. Supposc the d is the number of units sold. price per unit, in dollars, and x a) Form the revenue function R(x). what values of x is the revenue increasing? Decreasing? Why? 3 x\f\f\fjim 9 77: -o,oo!I3 + 0.612 L 67'5'1 -L+o<>00 b J ' ya '(z)-'/0 I --....-. '7/077)": -o.00317'+1,2,1 +g7.f;0 ' :> 2 : -I.7, : (szwikcrggim ' . "jo-oog fl 2 I > 4).2 : lu)' ,. ,5'o Lyj'o ' ' *-0300 6 L, x. . l I . it- Al ,/I. ,- ' '[ -:7 "am ulf C o f 7' 1>1, : 1?7JO dw? 0-4