{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

t2(4)

# t2(4) - Three sides of the enclosure will be built of...

This preview shows page 1. Sign up to view the full content.

Methods of Calculus MAC3233 Test 2 February 23, 1996 Instructions: This is a closed-book, closed-notes test. Do not write your answers on this paper, use separate answer sheets. No calculators are allowed to be used. To receive credit, you must show all work . For the opti- mization problems, you are required to show why your answer is a minimum or maximum. The four problems are worth 25 points apiece. 1. f ( x ) = 1 3 x 3 - 3 x 2 + 20 (a) Give f 0 ( x ) and f 00 ( x ). (b) Find all relative extreme points. (c) Find all inflection points. (d) Sketch the graph. 2. f ( x ) = 8 x + 2 x - 4 (a) Give f 0 ( x ) and f 00 ( x ). (b) Find all relative extreme points. (c) Find all asymptotes. (d) Sketch the graph. 3. The owner of a shop plans to build a 168-square-foot rectangular enclosure on the store’s property in order to display some merchandise. The display area is to be located on the southwest corner of the store’s parking lot.
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Three sides of the enclosure will be built of chain-link fencing, at a cost of \$15 per running foot. The fourth side will be built of cement blocks, at a cost of \$20 per running foot. The owner wants to minimize the total cost of building the enclosure. (a) Draw a picture, assigning variable names to the dimensions. (b) Give the objective equation. (c) Give the constraint equation. (d) Find the dimensions that minimize the costs. 4. A club oﬀers memberships at the rate of \$300 per person, provided that a minimum of 100 people join. For each member in excess of 100, the membership fee will be reduced \$2 per person (for each member). How many memberships should the club try to sell in order to maximize its revenues? 1...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online