
Concept explainers
a.
To prove:
a.

Explanation of Solution
Given information:
Theorem used:
Intermediate Value Theorem: If f is a continuous function on
Calculation:
Consider the equation,
Substituting
Substituting
Therefore, we have
Using Intermediate value Theorem, there exists
Hence, it is proved.
b.
To prove:
b.

Explanation of Solution
Given information:
Theorem used:
Intermediate Value Theorem: If f is a continuous function on
Calculation:
Consider the equation,
Substituting
Substituting
Therefore, we have
Using Intermediate value Theorem, there exists
Hence, it is proved.
c.
To prove:
c.

Explanation of Solution
Given information:
Theorem used:
Intermediate Value Theorem: If f is a continuous function on
Calculation:
Consider the equation,
Substituting
Substituting
Substituting x =
Therefore, we have
Using Intermediate value Theorem, there exists
Hence, it is proved.
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Chapter 0 Solutions
Numerical Analysis
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