Answer: Areas of regions Find the area of the following

Chapter 4, Problem 41E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Areas of regions Find the area of the following regions. In each case, graph the relevant functions and show the region in question.

The region bounded entirely by the curve \(y=\frac{x^{2}-4 x-4}{x^{2}-4 x-5}\) and the x-axis.

Questions & Answers

QUESTION:

Areas of regions Find the area of the following regions. In each case, graph the relevant functions and show the region in question.

The region bounded entirely by the curve \(y=\frac{x^{2}-4 x-4}{x^{2}-4 x-5}\) and the x-axis.

ANSWER:

Problem 41E

Find the area of the following regions. In each case, graph the relevant functions and show the region in question.

The region bounded entirely by the curve  and the x-axis.
Solution:-
Step 1

The graph of the function is:

The function  intersects x-axis at the points when the numerator of the fraction is zero.
Meaning when
       


To find the roots of this quadratic equation we see




Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back