a.
To find: The velocity
a.
Answer to Problem 38E
Explanation of Solution
Given information:
Calculation:
The position vector at time
The velocity vector by derivative of position vector with respect to
Hence, the velocity vector is
b.
To find: The value of limit
b.
Answer to Problem 38E
1
Explanation of Solution
Given information:
Calculation:
Substitute into the limit equation.
Thus, the value of the limit is 1.
c.
To show: The particle moves on the hyperbola
c.
Explanation of Solution
Given information:
Calculation:
Substitute
Taking L.H.S
Since the value of left hand side is equal to right hand side, the particle moves on hyperbola.
d.
To sketch: The path of the particle and the velocity vector of the parametric function.
d.
Explanation of Solution
Given information:
Calculation:
The velocity vector is
The sketch of path,
Chapter 10 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning