{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

test3math1501

# test3math1501 - between[2 6 Hence ±nd max x ∈[2 6 f x as...

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

Georgia Tech FALL 2009 Heinrich Matzinger QUIZ 3 FOR MATH 1501: CALCULUS I 1) Let f ( x ) = x 3 3 - 3 . 5 x 2 + 6 x + 1 . Find the all the places where f ( x ) = 0. 2) Same f ( x ) as in previous problem. Where is f increasing, where is it decreasing? 3) Same f ( x ) as in problem 1. Where is f ( x ) concave down and where is it concave up? 4) Same f ( x ) as in problem 1. If we restrict f to the interval between 0 and 2. Where does f reach its maximum value on that interval and what is it? Hence determine max x [0 , 2] f ( x ) as well as x 0 [0 , 2] such that f ( x 0 ) f ( s ) for all s [0 , 2]. 5) Same f ( x ) as in problem 1. Where does f reach its maximum if we restrict it to the interval

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: between [2 , 6]. Hence, ±nd max x ∈ [2 , 6] f ( x ) as well as x ∈ [2 , 6] so that f ( x ) ≥ f ( s ) for all s ∈ [2 , 6]. 6) Determine the limit lim n →∞ n 3 + 1000 n 2 + 343 n + 10 . 001 n 4 + 1 7) Determine the limit lim n →∞ (1 + (0 . 5 /n )) . 1 n 8) Determine the limit lim n →∞ 3 n + 2 n 100 · (3 n ) 9) Determine the limit lim n →∞ 3 2( n 2 +1) /n 2 . 10) What is the approximate value of (1 . 0001) 20000 ?...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

test3math1501 - between[2 6 Hence ±nd max x ∈[2 6 f x as...

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

View Full Document
Ask a homework question - tutors are online