
Concept explainers
Verify whether equations

Answer to Problem 35E
Equal
Explanation of Solution
Given:
Calculation:
Graphical method:
To draw the graph of given equations, use a graphical utility or follow below steps.
Calculation for graph:
Consider
Values of x | Values of f (x) |
0 | -0.2 |
1 | -0.5 |
-1 | -0.5 |
2 | 0.333 |
-2 | 0.333 |
By taking different values of x, the graph can be plotted.
Graph:
Consider
Values of x | Values of f (x) |
0 | -0.2 |
1 | -0.5 |
-1 | -0.5 |
2 | 0.333 |
-2 | 0.333 |
By taking different values of x, the graph can be plotted.
Graph:
Interpretation:
By observing both graphs, it is clear that both are equal.
Hence, given equations are equal to each other.
Algebraic method:
Consider
Here,
Conclusion:
Therefore, given equations are equal to each other.
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
- A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.arrow_forwardExplain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)arrow_forwarduse Integration by Parts to derive 12.6.1arrow_forward
- Explain the relationship between 12.3.6, (case A of 12.3.6) and 12.3.7arrow_forwardExplain the key points and reasons for the establishment of 12.3.2(integral Test)arrow_forwardUse 12.4.2 to determine whether the infinite series on the right side of equation 12.6.5, 12.6.6 and 12.6.7 converges for every real number x.arrow_forward
- use Corollary 12.6.2 and 12.6.3 to derive 12.6.4,12.6.5, 12.6.6 and 12.6.7arrow_forwardExplain the focus and reasons for establishment of 12.5.1(lim(n->infinite) and sigma of k=0 to n)arrow_forwardExplain the focus and reasons for establishment of 12.5.3 about alternating series. and explain the reason why (sigma k=1 to infinite)(-1)k+1/k = 1/1 - 1/2 + 1/3 - 1/4 + .... converges.arrow_forward
- 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





