Solution Found!
Answer: Areas of regions Find the area of the following
Chapter 4, Problem 41E(choose chapter or problem)
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