Screen Shot 2019-11-30 at 11.18.01 PM.png - Solve the problem Quocent Rule f x g(x f x 9(x 9(x 2 Average cost 5 The total cost to produce x units of

# Screen Shot 2019-11-30 at 11.18.01 PM.png - Solve the...

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Unformatted text preview: Solve the problem. Quocent Rule : f' ( x ) . g (x ) - f ( x ) . 9' (x ) 9 (x ) 2 Average cost 5) The total cost to produce x units of perfume is C(x) - (2x + 5)(6x + 4). Find the marginal average cost function. (x ) ( 2 * + 5) ( 6 * +4) marginal cost X X C' (x ) = 12x2 + 38 x. +20 C' ( x ) = 2 ( 12 x2+ 38 x+20) . X - (12X&quot;+ 38x420). ( 2 x 1/5 ) &lt; 6 * +4 ) ( x ) 2 C' ( x ) = ( 24 *+ 38 ) - ( * ) - ( 12 * 2 + 38 *+ 20 ) - 1 *) _ 12 x278x + 30 X+20 ( x ) 2 X c' ( x ) = 24 x + 38 x - 124 - 384 - 20 _ 12x *+ 38 x + 20 C ' ( x ) = 12 x 2 - 20 ( x) X 2 6) A circular oil slick spreads so that as its radius changes, its area changes. Both the radius r and the area A change with respect to time. If dr/dt is found to be 3.1 m/hr, find dA/dt when r = 39.8 m. = 39. 8 m A = TTV 2 dA Tx (dr dt &quot; in dit = 3.1 m/hr 1at ( 39. 8 + ) dA 71 . 2 - 39 , 80 10 A = 7 . 2 . 39. 8 t . 39. 8 dt = TT . 79. 6 ( A = 7125 I . in dA = 246. 76 A = 71 2 ( 39. 8 ) m /h dt 39.8 ( 71 2 ( 39.8 ) 72 . 39.8 m - 39.8 3 .1 ( 71 2 ( 39. 8 ) = 71 2. 39.8 ( 3.1 ). BARN 2 7 39.8 79.675 (3.1 )...
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