140Bquiz8c - 1 MATH 140B QUIZ#8 Due 2 1 Consider the function f x = 4 x x 2 1 on the interval I = 3 3 Which of the following 3 statements are true

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: 1 MATH 140B QUIZ#8 Due: Oct 29, 2007 [ 2 ] 1. Consider the function f ( x ) = 4 x x 2 + 1 on the interval I = [- 3 , 3] . Which of the following 3 statements are true? i) f ′ ( x ) = 4(1- x 2 ) ( x 2 + 1) 2 ii) f has exactly 2 critical points in I . iii) A local maximum occurs at x = 1 , but it is not a global maximum. A) i) only B) ii) only C) i) and ii) only D) i) and iii) only E) All 3 statements are true. [ 2 ] 2. Consider the function f ( x ) = x √ 8 x- x 2 on the interval I = [0 , 8] . Which of the following 3 statements are true? i) f ′ ( x ) = 2 x ( x- 6) √ 8 x- x 2 ii) f has 4 critical points in I . iii) The absolute minimum of f occurs at exactly two different x-values in I . A) i) only B) iii) only C) ii) and iii) only D) i) and iii) only E) All 3 statements are true. [ 2 ] 3. Consider the function f ( x ) = sin x 3- sin x on the interval I = [0 , 2 π ] . Which of the following 3 statements are true?...
View Full Document

This note was uploaded on 03/30/2008 for the course MATH 140B taught by Professor Fabbri,marc during the Fall '07 term at Pennsylvania State University, University Park.

Page1 / 2

140Bquiz8c - 1 MATH 140B QUIZ#8 Due 2 1 Consider the function f x = 4 x x 2 1 on the interval I = 3 3 Which of the following 3 statements are true

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