Exam 2 part 1 MAT194 Callahan

# Exam 2 part 1 MAT194 Callahan - logarithms. Don’t plug it...

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

Name: ____________________ 28 October 2008 Precalculus Exam 2 Directions . Read the directions carefully because many questions have more than one part. You may use a calculator but make sure to show all your work to get credit. 1. The element Mathadium decays exponentially according to the formula . If , then r = _____ %. Interpret your answer by explaining it in words. 2. The following figure gives the graph of , where C is the computer hard disk capacity (in hundreds of megabites) that could be bought for \$500 t years past 1989. If the trend displayed in the graph continued, in what year would the capacity that can be bought for \$500 be 17,000? Find your answer algebraically (not using your graphing calculator). What is the annual percent growth rate?

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

View Full Document
3. Solve the following equations exactly for x (that is, leave your answer in terms of
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: logarithms. Don’t plug it into your calculator to get a decimal). A) log(6 – x ) – log(5 + x ) = 3 B) e x + 7 = 3 · 4 x 4. Consider the function . What is its domain? Find equations for all asymptotes of the function and support your answer with a sketch. Finally, use this information to write a limit statement about the function. 5. Let and . What is ? 6. What is the horizontal asymptote of as ? Write this as a limit statement and support your answer with a sketch of the graph of this function. 7. Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither. Find a formula for the exponential function. t f(t) g(t) h(t) 1 22.73 22 22.35 2 25.53 32 33.30 3 28.33 41 49.62 4 31.13 49 73.93 5 33.93 56 110.16 6 36.73 62 164.14...
View Full Document

## This note was uploaded on 12/21/2011 for the course MAT 194 taught by Professor Staff during the Fall '08 term at Syracuse.

### Page1 / 3

Exam 2 part 1 MAT194 Callahan - logarithms. Don’t plug it...

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

View Full Document
Ask a homework question - tutors are online