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(a)
To create: a table by using a graphing utility
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 113AYU
X | y |
-0.9 | 0.181 |
-0.8 | 0.328 |
-0.7 | 0.447 |
-0.6 | 0.544 |
-0.5 | 0.625 |
-0.4 | 0.696 |
-0.3 | 0.763 |
-0.2 | 0.832 |
-0.1 | 0.909 |
0 | 1.000 |
0.1 | 1.111 |
0.2 | 1.248 |
0.3 | 1.417 |
0.4 | 1.624 |
0.5 | 1.88 |
0.6 | 2.176 |
0.7 | 2.533 |
0.8 | 2.952 |
0.9 | 3.439 |
Explanation of Solution
Given:
For
Calculation:
In the first part, make a table for two functions given as
So, let us make a table with the values of x and
For
X | y |
-0.9 | 0.522 |
-0.8 | 0.556 |
-0.7 | 0.588 |
-0.6 | 0.625 |
-0.5 | 0.667 |
-0.4 | 0.714 |
-0.3 | 0.76 |
-0.2 | 0.834 |
-0.1 | 0.909 |
0 | 1.000 |
0.1 | 1.111 |
0.2 | 1.25 |
0.3 | 1.42 |
0.4 | 1.666 |
0.5 | 2.000 |
0.6 | 2.500 |
0.7 | 3.332 |
0.8 | 5.000 |
0.9 | 10.00 |
For
X | y |
-0.9 | 0.181 |
-0.8 | 0.328 |
-0.7 | 0.447 |
-0.6 | 0.544 |
-0.5 | 0.625 |
-0.4 | 0.696 |
-0.3 | 0.763 |
-0.2 | 0.832 |
-0.1 | 0.909 |
0 | 1.000 |
0.1 | 1.111 |
0.2 | 1.248 |
0.3 | 1.417 |
0.4 | 1.624 |
0.5 | 1.88 |
0.6 | 2.176 |
0.7 | 2.533 |
0.8 | 2.952 |
0.9 | 3.439 |
Conclusion:
Therefore, the table for the given values is completed.
(b)
To create: a table by using a graphing utility
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 113AYU
x | y |
-0.9 | 0.8371 |
-0.8 | 0.7376 |
-0.7 | 0.6871 |
-0.6 | 0.6736 |
-0.5 | 0.6875 |
-0.4 | 0.7216 |
-0.3 | 0.7711 |
-0.2 | 0.8336 |
-0.1 | 0.9091 |
0 | 1.0000 |
0.1 | 1.1111 |
0.2 | 1.2496 |
0.3 | 1.4251 |
0.4 | 1.6496 |
0.5 | 1.9375 |
0.6 | 2.3056 |
0.7 | 2.7732 |
0.8 | 3.3616 |
0.9 | 4.0951 |
Explanation of Solution
Given:
Calculation:
Here evaluate the same way but now the functions will be
For
x | y |
-0.9 | 0.522 |
-0.8 | 0.556 |
-0.7 | 0.588 |
-0.6 | 0.625 |
-0.5 | 0.667 |
-0.4 | 0.714 |
-0.3 | 0.76 |
-0.2 | 0.834 |
-0.1 | 0.909 |
0 | 1.000 |
0.1 | 1.111 |
0.2 | 1.25 |
0.3 | 1.42 |
0.4 | 1.666 |
0.5 | 2.000 |
0.6 | 2.500 |
0.7 | 3.332 |
0.8 | 5.000 |
0.9 | 10.00 |
For
x | y |
-0.9 | 0.8371 |
-0.8 | 0.7376 |
-0.7 | 0.6871 |
-0.6 | 0.6736 |
-0.5 | 0.6875 |
-0.4 | 0.7216 |
-0.3 | 0.7711 |
-0.2 | 0.8336 |
-0.1 | 0.9091 |
0 | 1.0000 |
0.1 | 1.1111 |
0.2 | 1.2496 |
0.3 | 1.4251 |
0.4 | 1.6496 |
0.5 | 1.9375 |
0.6 | 2.3056 |
0.7 | 2.7732 |
0.8 | 3.3616 |
0.9 | 4.0951 |
Conclusion:
Therefore, the table for the given values is completed.
(c)
To create: a table by using a graphing utility
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 113AYU
x | y |
-0.9 | 0.4094 |
-0.8 | 0.0003 |
-0.7 | 0.2789 |
-0.6 | 0.4662 |
-0.5 | 0.5937 |
-0.4 | 0.6857 |
-0.3 | 0.7601 |
-0.2 | 0.8316 |
-0.1 | 0.9090 |
0 | 1.0000 |
0.1 | 1.1111 |
0.2 | 1.2483 |
0.3 | 1.4194 |
0.4 | 1.6342 |
0.5 | 1.9062 |
0.6 | 2.6342 |
0.7 | 2.7010 |
0.8 | 3.2796 |
0.9 | 4.0290 |
Explanation of Solution
Given:
Calculation:
Here evaluate the same way but now the functions will be
For
x | y |
-0.9 | 0.522 |
-0.8 | 0.556 |
-0.7 | 0.588 |
-0.6 | 0.625 |
-0.5 | 0.667 |
-0.4 | 0.714 |
-0.3 | 0.76 |
-0.2 | 0.834 |
-0.1 | 0.909 |
0 | 1.000 |
0.1 | 1.111 |
0.2 | 1.25 |
0.3 | 1.42 |
0.4 | 1.666 |
0.5 | 2.000 |
0.6 | 2.500 |
0.7 | 3.332 |
0.8 | 5.000 |
0.9 | 10.00 |
For
x | y |
-0.9 | 0.4094 |
-0.8 | 0.0003 |
-0.7 | 0.2789 |
-0.6 | 0.4662 |
-0.5 | 0.5937 |
-0.4 | 0.6857 |
-0.3 | 0.7601 |
-0.2 | 0.8316 |
-0.1 | 0.9090 |
0 | 1.0000 |
0.1 | 1.1111 |
0.2 | 1.2483 |
0.3 | 1.4194 |
0.4 | 1.6342 |
0.5 | 1.9062 |
0.6 | 2.6342 |
0.7 | 2.7010 |
0.8 | 3.2796 |
0.9 | 4.0290 |
Conclusion:
Therefore, the table for the given values is completed.
(d)
To explain: the values of the function when more terms are added to the polynomial
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 113AYU
There is a very less difference between the respective values as compared to values obtained by polynomial of a lesser degree.
Explanation of Solution
Calculation:
As more terms are added to the polynomial, there is a very less difference between the respective values as compared to values obtained by polynomial of a lesser degree. This implies that there are certain values of x which provide a better approximation for calculating the value of the series.
Conclusion:
Therefore, there is a very less difference between the respective values as compared to values obtained by polynomial of a lesser degree.
Chapter 4 Solutions
Precalculus
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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Calculus and Its Applications (11th Edition)
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