(a.)
A smooth curve connecting the points in the given graph and the estimate of
A smooth curve connecting the points in the given graph has been provided and it has been estimated that
Given:
The graph,
Concept used:
Any set of points on a graph can be connected by a smooth curve.
Calculation:
Connecting the points in the given graph by a smooth curve as follows:
Now, let
Squaring both sides,
Equating real and imaginary parts on both sides,
Then,
Put
Simplifying,
On further simplification,
The only real solutions of the above equation are
Put
Put these values in
Since only the positive root is required, it follows that,
Conclusion:
A smooth curve connecting the points in the given graph has been provided and it has been estimated that
(b.)
The value of
The value of
Given:
The graph,
Concept used:
The value of an expression can be computed using a graphing calculator.
Calculation:
Computing the value of
It can be seen that it does not lie on the curve but it was close to the estimated value.
Conclusion:
The value of
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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