(a)
To show: The parameterization for the line that passes through the points
(a)
Explanation of Solution
Given information: The points are
Proof:
Solve the equation
Solve the equation
Therefore,
Multiply both sides of the equation
Therefore, it is proved that
(b)
To find: The parameterization for the line segment with endpoints
(b)
Answer to Problem 48E
The parameterization for the line segment with endpoints
Explanation of Solution
Given information: The points are
Calculation:
In the problem one possible parameterization for a line through points
Since the initial point is
Substitute 0 for
The terminal point is
Substitute 1 for
So, the parametric interval is
Therefore, the parameterization for the line segment with endpoints
Chapter 1 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus & Its Applications (14th Edition)
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