hw3_answers

hw3_answers - HW3 answers math118 2008 Instructor Prof...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: HW3 answers, math118, 2008 Instructor: Prof. Doyoon Kim TA: Diogo Bessam Please, during (and only during) Fall 2008, report any typo/error you may nd di- rectly to Diogo Bessam ([email protected]) 2.5.22 (a) P ( t ) =- 3 t 2 + 18 t + 48 (b) R ( t ) =- 6 t + 18 (c) R (3) = 0 so Δ R = 0(1 / 12) = 0 3.1.4 derivative is negative in x < 1 , 3 < x < 5 , positive in 1 < x < 3 , x > 5 3.1.8 A 3.1.34 g ( x ) = x ( x- 2) ( x- 1) 2 ; C.N.: x = 0 , x = 2 (also consider x = 1 , asymptote); g is increasing in x < , x > 2 , g is decreasing in < x < 1 , 1 < x < 2 ; C.P.: (0 , 0) , rel. minimum, (2 , 4) rel. maximum 3.1.46 f ( x ) = x (2- x ) x 2 + x +1 ; C.N.: x = 0 , rel. minimum; x = 2 rel. maximum 3.1.50 minimal requirements are: positive x < , < x < 4 null at and 4 , negative x > 4 3.1.68 has to be decreasing in x < , x > 2 and increasing in < x < 1 , 1 < x < 2 , has to have a rel. minimum at x = 0 and a rel. maximum at x = 2 , as the previous points, x = 1 is just another at point but not an extreme...
View Full Document

This note was uploaded on 10/24/2008 for the course MATH 118x taught by Professor Vorel during the Fall '07 term at USC.

Page1 / 2

hw3_answers - HW3 answers math118 2008 Instructor Prof...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online