#### You've reached the end of your free preview.

Want to read the whole page?

**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"+ 38x420).
( 2 x 1/5 ) < 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
" 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 )...

View
Full Document

- Fall '19