3.1+HOWEWORK

1. (text book homework), Worked by Hayley Linton a. neither b. abs max & relative max c. neither d. neither e. relative max f. relative min g. neither

2. a. ab min b.ab max c. neither d. rel min e. rel max f. rel min g. neither worked and checked by lauren tinkler

WS 3 & 4 worked by Samantha Cuestas

8. on worksheet Checked by Kendall Jones

11a) abs max: (pie/4, squareroot 2) abs min: ( pie/3, 1.366) worked by Jason Sham correct, checked by Pascal Cuestas

10. on worksheet x=1 x=-1 those are the critical numbers Worked by Scott Trostle correct, checked by Daniel Benoit 9.

x^2 (-1,0) f’(x)= 2x 2-x^2 (0,1) f’(x)= -2x f(0)= 0, -2 f(-1)= 1,1 f(1)= 1,1 abs min (0,0) abs max (-1,1)(1,1)

worked by Hannah Mozafari correct! Checked by Jason Sham 11 b worked by Heather Anderson Correct! Checked by Warner Boin

13. f(x)=x^2(x-3) f'(x)=2x(x-3) + (1)(x^2) = 2x^2-6x+x^2 f'(x)=3x^2-6x f'(x)=0 when 3x^2-6x=0 3x(x-2) 3x=0 & (x-2)=0 x=0, x=2!!! Worked by Angela Teodoro Correct. checked by Louis Ortizzz

15. (in book) Find Critical Numbers: g(t) = t √(4-t), t<3 g(t) = (1/2)t(4-t)^(-1/2) g(3) = (1/2)(3)(4-3)^(-1/2) g(3) = (3/2)(1/ √(1)) = (3/2)(1) g(3) = 1.5 worked by Lilly Byrd checked by brooke elias

17) h(x)=sin^2x+cosx h(x)=cosx-2-sinx h(sin)=(sinx)=2 x=pi/3,pi,5pi/3 worked by hannah smythe correct, checked by Nadia Guillen

19. in book min: (2,2) max: (-1,8) Worked by: Bryan Rucker checked by emily othold

23. Worked By Olga Tobias :)

29.h(s)=1/(s-2) h'(s)= -s^-1/-2 h'(s)=1/s^2-2 h(0)= -1/0^2-2 h(0)=1/2 [0,1/2] 1=-1/s^2-2 s^2-2=-1 s^2=1 s=1 [1,1] Worked by Marla Roper Checked by: Rachel Rilling

37. Graph then look. a) Minimum (0,3) Maximum (2,1) b) Maximum (0, -3) c) Maximum (2,1) d) none Worked by Elborz Safarzadeh Correct! Checked by Neil

38. a) minimum (1,4) maximum (4,1) b)maximum none c)maximum(4,1) d)maximum(4,-1) worked by brooke elias Checked by Olga Tobias :D

55-56 A) YES B) NO 56 A) NO ﻿B) ﻿YES WORKED BY JOEY ﻿CAHI LL CORRECT!!! Checked by AnGeLa TeOdORO

57. A) No B) Yes Worked by Audrey Luecken checked by Hyun Bang 58. A) no B) yes Worked by neil KLENK Checked by Elborz Safarzadeh

Worked by Nolan Blair Correct! Checked by: clint patter__**SON**__

__**6.**__ checked by Nolan Blair 7a. The graph would have a hill going down, and a hill going up. open holes on relative min and left side of graph. where the absolute max is the relative max. 7b. a sharp turn graph with a high point and a low. 7. Checked by Samantha Cuestas