Concept explainers
(a)
Approximate the zeros of a function.
(a)
Answer to Problem 95E
Zeros of polynomial is 0.779 and -1.585
Explanation of Solution
Given data:
Calculation:
In this theorem the values where sign was changing whose domain lies in the interval contain one zero as at that interval the line of equation intersect the axis and at the point of intersection zeros of polynomial present.
The table for the polynomial
x | F(x) |
-3 | + |
-2 | + |
-1 | - |
0 | - |
1 | + |
2 | + |
So the signs were change in the interval of (-1, 0) and (1, 2) so the zeros of polynomial are in the intervals.
Conclusion:
Zeros of polynomial is0.779 and -1.585
(b)
Approximate the zeros of a function.
(b)
Answer to Problem 95E
Zeros of polynomial is 0.779 and -1.585
Explanation of Solution
Given data:
Calculation:
Adjusting the interval by 0.1, 0.01, 0.001 and 0.0001
x | F(x) |
0.8 | + |
0.7 | - |
x | F(x) |
0.78 | + |
0.77 | - |
x | f(x) |
0.780 | + |
0.779 | - |
So one zero of polynomial is 0.779
Similarly for the interval (1, 2) the other zeros is -1.585
Conclusion:
Zeros of polynomial is -0.779 and 1.585
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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