finalreviewpacket_pn

finalreviewpacket_pn - Calculus I Final Review 1. Find an...

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: Calculus I Final Review 1. Find an equation for an exponential function through the points (1 , 5), (3 , 12) and with hori- zontal asymptote y = 0. Find another equation when the asymptote is y = 20 . 2. Suppose the half-life of a radioactive isotope is 125 days. How many days will it take for a sample of the substance to reach 10% os its starting amount. 3. A sinusoid has a minimum at (32 ,- 2) and a maximum at (38 , 8) with no critical points in between. Find two equations for this function, one in terms of sin and the other in terms of cos . 4. Let f ( x ) = x 3- 2 x 2 + 3 x- 2 if x ≤ c 2 x- 2 if x > c for some constant c. For what value(s) of c is f continuous? Differentiable? 5. Evaluate the following: (a) lim x →∞ ln x 8 x 2 + 1 (b) lim x → + (sin x ) ln x (c) lim x → 1 (ln x ) ln x (d) lim x → ln2 sinh x- 3 4 x- ln 2 (e) lim x →∞ x- √ x 2 + x (f) lim x → sin 1 x (g) lim x → x sin 1 x 6....
View Full Document

This note was uploaded on 02/15/2010 for the course IPHY 4540 at Colorado.

Page1 / 2

finalreviewpacket_pn - Calculus I Final Review 1. Find an...

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