To Find: The value of
and
The value of
Given:
Given line:
Given parabolas:
Explanation:
Find the value of
The given two parabolas' do not Intersect. Therefore, a line will separate them
Find the tangents to each of the two parabola's with slope
As a result, all lines between those tangents will be of the form
Slope of the tangent must be 1, at a point
Differentiate both sides with respect to
Since,
It occurs when
Substitute
Hence, the tangent to parabola
Thus, the equation of the tangent is:
The slope of the tangent must be
Differentiate with respect to
Since,
Substitute
Thus, tangent to parabola
Thus, the Equation of the tangent is"
The line
Thus, the line
The graph below shows parabola
Example of line
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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