a.
To compute: The difference quotient
a.
Answer to Problem 48E
Explanation of Solution
Given information:
The function is
Calculation:
For
b.
To estimate: The limit at
b.
Answer to Problem 48E
1.39.
Explanation of Solution
Given information:
Calculation:
From part (a)
Using graphing calculator:
From the graph it can be seen that for different value of h near
On calculation:
c.
To compare: The value obtained in part (b) to ln(4).
c.
Answer to Problem 48E
The value obtained in part b is different from ln(4) (given ).
Explanation of Solution
Given information:
Calculation:
Hence the estimated value (using graph) is different from the exact value given.
d.
To find: If the function has tangent at
d.
Answer to Problem 48E
Yes, the function has a tangent at
Explanation of Solution
Given information:
Concept used:
Find the left hand and right limit of
Calculation:
Now, find left hand limit as:
Since both the left- and right-hand limits are equal. So, tangent at
Hence the slope is ln(4).
Chapter 1 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