Concept explainers
a.
Determine the slope of the line joining
a.
Answer to Problem 4PS
Explanation of Solution
Given information:
Let
What is the slope of the line joining
Calculation:
Consider the following diagram
To determine the slope of the line joining
Use the standard form of the slope joining two points.
Standard form:
Hence the slope
b.
Find an equation of the tangent line to the circle at
b.
Answer to Problem 4PS
Explanation of Solution
Given information:
Let
Find an equation of the tangent line to the circle at
Calculation:
Consider the following diagram
Find the slope of the line perpendicular to the points joining
Product of the slopes of the two perpendicular lines is
Slope of the line perpendicular to
Now use the standard equation of the line passing through a point
Hence the equation is
Hence,
c.
Find the slope
c.
Answer to Problem 4PS
Explanation of Solution
Given information:
Let
Let
Calculation:
Consider the following diagram
Consider the point
To determine the slope
Use the standard form of the slope joining two points.
Standard form:
Hence the slope is
Now express
The point os on the first quadrant, hence the values of
Hence,
d.
Evaluate
d.
Answer to Problem 4PS
Explanation of Solution
Given information:
Let
Evaluate
Calculation:
Consider the following diagram
Identfy the function and use rationalization method to evaluate.
Rationalize with
Use mathematical identity
Further simplify,
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning