×
Get Full Access to Mathematics: A Discrete Introduction - 3 Edition - Chapter 36 - Problem 36.12
Get Full Access to Mathematics: A Discrete Introduction - 3 Edition - Chapter 36 - Problem 36.12

×

# Let a be an integer. Prove that 2a C 1 and 4a2 C 1 are relatively prime

ISBN: 9780840049421 447

## Solution for problem 36.12 Chapter 36

Mathematics: A Discrete Introduction | 3rd Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Mathematics: A Discrete Introduction | 3rd Edition

4 5 1 422 Reviews
23
1
Problem 36.12

Let a be an integer. Prove that 2a C 1 and 4a2 C 1 are relatively prime.

Step-by-Step Solution:
Step 1 of 3

L5 - 10 Now You Try It (NYTI): 1. Graph the functions below using transformations of the exponential func- tion. Keep track of how the point (0,1) and the asymptote y =0ear transformed and include them in the graph. −x (a) f(x)=0(1 − e ) (b) f(x)=2 − e −(x+1) 2. Find the domain of each of the following functions of x: (a) f(x)= √ 1 − e ▯ x (b) f(x)= 1+ e x 3. The following are one-to-one functions. Find a formula for the inverse func- tion in each case; be mindful of the restrictions on the domainofthefunction and its inve▯se. ▯ x 2 (a) f(x)=n 2 , x> 0 √ 1+ x (b) f(x)= 2 − e 4. Find the domain for each function of x below: (a) f(x)=(1 − e ) ▯ ln(x) (b) f(x)= 2 − ex 5. A very small tumor of size M is observed every ten days, and over each ten-day period it grows 50% larger. (a) Write a formula representing the size of the tumor after t days (t = 0,10,20,... ) (b) At which value of t will we ﬁnally observe the tumor is more than 10 times its original size (c) How many times greater than its original size will the tumor be on day 100

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution