MA 123  Business Calculus Summer 2007 P. Busse
Quiz 3 Solutions
1. (3 pts) Use the definition to find the derivative of f (x) = 3x2  x. Show all steps and include limit signs where needed. f (x) = = = = = = f (x + h)  f (x) (definition of the derivativ
MA 123  Business Calculus Summer 2007 P. Busse
Name
Quiz 5
June 1, 2007 All work must be clearly shown in order to receive full credit. 1. Let f (x) = 2 3 x  2x2  6x  21. 3
(a) (2 pts) Determine the intervals where f (x) is increasing and decreasing.
MA 123  Business Calculus Summer 2007 P. Busse
Quiz 1 Solutions
1. (2 pts) An open box is to be constructed from a 30" 30" square piece of posterboard by removing a small square from each corner and folding up the flaps to form the sides. Express the vol
!VIA 123  Businws Calculus Summer 2007 P. Busse
rill ~cnrl: m f hF rl~nrI?~ m ~Ilournin order lo wc<:i?:r l l / rwdat. fi
1. ( 2 pts each) Find tht. tlrrivativr ,2~' d.r (a) J,! = PC
<'%
O!/
\; .l ^E /, ?
d>c
2. (2 pts) The slope a t each point ( r , ~
11.4 123  Busi~ess Csaladus Summer 2007 P.Busse
Name
QUIZ7
June 12, 2007 All work mvsl be clmrhy s h o ~ t nin o d ~ to r ~ r ~ i j1111 cwdit. r vr
1. (2 pts each) Find the ~ m r soll~tions o t h e following rqiintiotifi. ? f
(a) 5  2e3" =  I 9

c= a