{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Assignment 4

# Assignment 4 - MAT 1330 Fall 2010 Assignment 4 Due...

This preview shows pages 1–3. Sign up to view the full content.

MAT 1330, Fall 2010 Assignment 4 Due Wednesday November 10, at the beginning of class. Late assignments will not be accepted; nor will unstapled assignments. Instructor (circle one): Frithjof Lutscher Angelika Welte Aziz Khanchi Robert Smith? DGD (circle one): 1 2 3 4 Student Name Student Number By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Signature Question 1. Find the derivatives of the following functions. Do not simplify. a) f ( x ) = cos( x ) sin(5 x 2 + 7), f ( x ) = b) g ( x ) = tan( x ) e 7 x x 4 , g ( x ) = c) h ( x ) = e cos 3 x +2 sin 2 x , h ( x ) = d) w ( y ) = ln( y 2 + 3 y + 9), w ( y ) = e) u ( z ) = sin( z 5 ) z , u ( z ) = 1

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

View Full Document
Question 2. Find the global minimum and the global maximum of g ( x ) = ln(( x + 1) 2 + 1) on the interval [ 2 , 2]. Global maximum at x = . Global minimum at x = . Question 3. The number of individuals (in thousands) of a certain species satisfies the DTDS: x t +1 = 5 x t 1 + x t hx t , t = 0 , 1 , 2 , . . . The population is harvested according to a rate h 0. Answer the following questions: a) The equilibrium points of this DTDS are (Hint: one of the equilibrium points will depend on h ): and . b) Give the largest interval for h such that both equilibrium points in (a) are non-negative
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

Assignment 4 - MAT 1330 Fall 2010 Assignment 4 Due...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online