San Jose State University
Math 71 Calculus for Bus/Aviat
H. Katsuura Fall 2009 Section 01 Office: MH415 40943 1330-1445 Tel.: 924-5130 TR DH318 e-mail: katsuura@math.sjsu.edu
* Textbook: Schawm's Outline, Calculus; Fifth Edition; by Frank Ayres, Jr. and E
Math 71
Supplement
9-17-09
Exam is on October 1, 2009. Find the following limits, and interpret the graphic meaning of these limits: 1. xlim x2 - 1 x ( x - 1) x2 - 1 x ( x - 1) 2. xlim 0x2 - 1 x ( x - 1) x2 - 1 x ( x - 1) x2 - 1 9. xlim - 1+ x + 1 2 ( ) 1
Math71
Supplement 10-20-09
a
Construct the increase-decrease table, and limits, intercepts, etc to sketch the graph of the following function: 3 1. f ( x ) = 2x - 2x + 1 3 2 2. f ( x ) = x - 3x 3x 2 3. f ( x ) = 2 ( x - 1) x +1 4. f ( x ) = 2 ( x - 1) x2
Math 71 Assignment to turn in on November 5, 2009 An open top box is to be made out of a piece of cardboard that measures 6 by 8 inches. Squares of equal size are cut out from each corner, and four sides are folded up to form a rectangular box. What size
Math 71
Supplement
10-6-09
Find the derivatives of the following functions: x 2 2x 2 1. f ( x ) = 2e - 5x + p 2. f ( x ) = 2e x +2 - 3x 2 + 4 3. f ( x ) = 2e - 5ln x + p x 2 ln x 4 4. f ( x ) = 2lne - 5x + x - 9 5. f ( x ) = 2e + 7x x x 6. f ( x ) = 2ln x
Math 71
Supplement
9-15-09
a
Suppose a person invest $P in an account that earns 100r % in (annual) interest compounded k times annually. Then after n time compounding period, the amount $A in the account is given by r n A = P (1+ i) , where i = . k 1. Su
Math 71 Supplement 10-23-09 Suppose x units of a product is produced in some interval, $C ( x ) is the cost of producing x units, and $R( x ) is the revenue of producing x units. Then the profit $P ( x ) is given by P ( x ) = R( x ) " C ( x ) . The deriva
Math71
Supplement 10-13-09
a
Make the table similar to the one shown in the class for the following: 2 1. f ( x ) = x - 2x + 1 3 2 2. f ( x ) = x - 2x 1 3. f ( x ) = 2 ( x - 1) x 4. f ( x ) = 2 ( x - 1) x2 f ( x) = 5. 2 ( x - 1) x 6. f ( x ) = e 2 7. f (
Math71
Supplement 10-15-09
a
Construct the increase-decrease table, and limits, intercepts, etc to sketch the graph of the following function: 3 1. f ( x ) = x - 2x + 1 3 2 2. f ( x ) = x - 3x - 3 x 3. f ( x ) = 2 ( x - 1) x 4. f ( x ) = 2 ( x - 1) x2 5.